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link: /
- name: Research
link: /research/
- name: Applications
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- name: Publications
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- name: About
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- name: Team
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<div class="separator orange"></div>
<ul class="clearScroll">
<div id="logo">
<a href="/" alt="Advanced Computational Electromagnetics (ACEM) Research Group">ACEM Research</a>
<a href="/" alt="Advanced Computational Electromagnetics (ACEM) Research Group">ACEM</a>
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---
layout: banner
title: About
permalink: /about/
cardTitle: About
cardDesc: We are research group in the Department of Electrical Engineering at the University of Illinois Urbana-Champaign, focusing on computational electromagnetics.
---
# Our Team
<!--ITEM-->
## Zhen Peng
Dr. Zhen Peng is the principal investigator of the ACEM Research Group. He is currently an Associate Professor at the Department of Electrical Engineering at the University of Illinois at Urbana-Champaign. Previously, he was an Assistant Professor at the Applied Electromagnetics Group, The University of New Mexico (2013-2019), and Senior Research Associate at ElectroScience Lab.
[Read More](/people/zhen-peng)
![ZhenPeng](/assets/images/people/zhen-peng-profile.png)
<!--ITEM-->
# Research Overview
The classical electromagnetic (EM) theory guided by Maxwell’s Equations has been around for over 150 years. It has an incredible impact on many modern technologies such as antennas and wireless communication, integrated circuits and computer technologies, remote sensing, lasers and optoelectronics, and more. Nowadays, with the exponential growth in computing power, machine intelligence and data revolution, quantum technologies and materials, there are enormous opportunities to continue advancing fundamental EM theories towards next-generation technology developments and applications. 
Our rudimentary research is the pursuit of mathematical and computational models that advance the understanding, prediction and discovery of classical, chaotic, and quantum wave phenomena. These models will allow for the design and optimization of novel electromagnetic systems at unprecedented scales, and contribute through education to the advancement of understanding. Our current and future research are concerned with four interrelated areas: (1) classical electromagnetism with scalable algorithms, (2) statistical electromagnetics: theories and practices, (3) quantum electromagnetics: simulating probability in space and time domain, and (4) chaotic reverberation chamber: measurement and control of uncertainties. The diagram of research roadmap and current supports is elaborated as:
![Overview](/assets/images/research/ResearchOverview2019.png)
# Group Members
Shen Lin (Postdoc Research Associate): *shenlin2 at illinois.edu*.
Charles Ross (PhD Graduate Student): *cr26 at illinois.edu*.
Sangrui Luo (PhD Graduate Student): *sangrui2 at illinois.edu*.
Qi Jian Lim (PhD Graduate Student): *qjlim2 at illinois.edu*.
Gonzalo Nunez Munoz (PhD Graduate Student): *gonzalo9 at illinois.edu*.
Kenneth Jao (PhD Graduate Student): *ksjao2 at illinois.edu*.
# Contact
If there are any questions...

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---
layout: post
title: Full-Wave Field Solvers for Signal Integrity (SI) and EM Interference (EMI) Analysis of Product-level Integrated Circuits (ICs) and Electronics
permalink: /applications/SIEMI/
---
# Full-Wave Field Solvers for Signal Integrity (SI) and EM Interference (EMI) Analysis of Product-level Integrated Circuits (ICs) and Electronics
## Signal Integrity Analysis of 3D IBM Plasma Package
The example shown is a real-life IC package benchmark set by IBM at the 15th Conference on Electrical Performance of Electronic Package (EPEP) during a special session on “Parallelization of EM Full-Wave Solvers for Product-Level Problems”. This package includes an eight-layer structure: ground/mounting pads (SURFACE), signal (FC3), ground (FC2), signal (FC1), signal (BC1), power (BC2), signal (BC3), and ground/mounting pads (BASE).
![SI-1](/assets/images/research/Intra-System-EMIEMC/SI-1.png)
We propose a systematic full-wave numerical approach, based on a nonconformal finite-element domain decomposition method (DDM) for 3-D real-life circuit/package simulations. First, an automatic domain partitioning strategy is utilized to divide the entire model into a number of sub-domains. Each sub-domain is then meshed independently with adaptive mesh refinement. Next, a nonoverlapping DDM is adopted to efficiently solve the finite-element matrix equation. And a model-order reduction technique is exploited to compute the multiport spectral responses. SI effects such as signal delay, coupling, and reflection are simulated on a product-level package benchmark. Finally, numerical results verify the an
![SI-2](/assets/images/research/Intra-System-EMIEMC/SI-2.png) 
#### F. Guo et al., "The IEEE EPS Packaging Benchmark Suite," 2021 IEEE 30th Conference on Electrical Performance of Electronic Packaging and Systems (EPEPS), Austin, TX, USA, 2021, pp. 1-4, doi: 10.1109/EPEPS51341.2021.9609142.
#### Y. Shao, Z. Peng and J. -F. Lee, "Full-Wave Real-Life 3-D Package Signal Integrity Analysis Using Nonconformal Domain Decomposition Method," in IEEE Transactions on Microwave Theory and Techniques, vol. 59, no. 2, pp. 230-241, Feb. 2011.
## Intrasystem Electromagnetic Interference Analysis of IC and Electronics
Next-generation electronic systems are evolving rapidly to achieve greater functionality and lower cost with smaller sizes. The resulting EMI among different components within a system may significantly affect the in-situ performance of individual components. To accurately characterize the intrasystem EMI, mutual interactions of 3-D interconnects, packages, printed circuit boards (PCBs), and systems must be considered simultaneously. Nevertheless, individual subsystems exhibit vast differences in aspect ratios (the ratio of wavelength to feature size). Computational resources required for the EM field-based modeling of such an extreme multiscale problem are prohibitively expensive.
![IEMI-1](/assets/images/research/Intra-System-EMIEMC/IEMI-1.png) 
The objective of this work is to develop high-fidelity and high-performance full-wave solvers for scalable EM simulations of IC and electronics. The emphasis is placed on advancing parallel algorithms that are provably scalable and facilitating a design-through-analysis paradigm for emerging and future electronic systems.
The proposed method follows a hierarchical geometry-based domain partitioning strategy. The electronic system is first divided into case, board, and package subsystems. Each subsystem may be further decomposed into subdomains, where local repetitions and periodicities can be exploited. The domain partitioning between subsystems does not need to be shape-conforming, and the discretizations do not require to be matching. Thus, model preparation and mesh generation can be performed concurrently and are naturally parallelizable.
Subsequently, these subsystems are coupled to one another via the representation formula (distant subsystems) and TCs (adjacent subsystems). A Schwarz iterative process is used to adjust boundary conditions for subsystem problems until the solution converges. It is expected to be a suitable paradigm not only for the high-fidelity system-level simulation that is accurate across the full-scale range, but also for the integration of the state-of-the-art solvers from each subproblem into a powerful solution suite.
![IEMI-1](/assets/images/research/Intra-System-EMIEMC/IEMI-2.png)
#### Z. Peng, Y. Shao, H. W. Gao, S. Wang, and S. Lin, “High-fidelity, high-performance computational algorithms for intrasystem electromagnetic interference analysis of IC and electronics,” IEEE Transactions on Components, Packaging and Manufacturing Technology, vol. PP, no. 99, pp. 1–16, 2017.

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---
layout: post
title: Stochastic Wave Model Statistically Replicating Reverberation Chambers
permalink: /applications/reverberation-chamber/
---
# Stochastic Wave Model Statistically Replicating Reverberation Chambers
The pervasiveness of smart cities and burgeoning Internet of Things (IoT) enable a more and more connected world. A key challenge emerging is the analysis, design, and deployment of electronic devices and systems in increasingly sophisticated electromagnetic (EM) environments. In the literature, the mode-stirred reverberation chamber (MSRC) has been used as a standard laboratory facility for the immunity, emission, and susceptibility of electronic components to complex random fields.
The fundamental question answered in this work is: can we investigate fundamental computational algorithms to replicate complex multipath environments, such that the design and optimization of electronics can be performed in the resulting virtual experimental facility?
The main contributions of this work are twofold. Firstly, we investigate a vector dyadic stochastic Green’s function (SGF), which stands for the fundamental solution of wave equations in the wave-chaotic environment. A stochastic integral equation (SIE) formulation is developed next for the statistical characterization of wave interactions within wave-chaotic systems. Secondly, in order to incorporate component-specific characteristics, we investigate a hybrid deterministic and stochastic formulation. The electronic components are formulated in first- principles using finite element (FE) methods, and large complex environments are modeled statistically using the SIE with SGF.
The advancements establish an imperative simulation-driven, design-under-chaos (noise) capability. Virtual experiment, design, and optimization of electronics are performed under randomized, diffuse EM fields, beyond the confines of the laboratory MSRC and measurements.
In the following, we will discuss the application of the stochastic DGF approach to four well-known problems of interest: 1) EM radiation and emission in complicated enclosures, 2) stochastic EM field coupling to conducting wires with loads, 3) aperture coupling/excitation of large cavities from an external plane wave source, 4) Statistical Characterization of Cavity Quality Factor.
## Application I: EM radiation and emission in complicated enclosures
![A-1](/assets/images/research/RC/TwoAntennas1.png)
![A-2](/assets/images/research/RC/TwoAntennas2.png) 
## Application II: Stochastic EM field coupling to conducting wires with loads
Wires and cables are routinely used in electronic systems to interconnect antennas, printed circuit boards, and electronic components. They often introduce additional coupling paths from external IEMI sources to sensitive circuitry inside computer enclosures. Thereby, it is important to study the mechanism of wire coupling and interference from the external RF sources.
We remark that as the stochastic Green’s function and integral equation methods are used to model the metal wire, both transmission line physics and high-frequency field coupling are modeled correctly. Furthermore, the proposed S-DGF rigorously integrates both the coherent propagation from apertures to conducting wires, and incoherent diffuse coupling due to multiple rays bounced from the cavity wall. Therefore, the statistical prediction of conducting wire pickup incorporates the relative location and orientation between apertures and wires, which is another unique aspect of the proposed work.
![A-3](/assets/images/research/RC/Cable.png)
## Application III: Aperture coupling/excitation of large cavities from an external plane wave source
In many practical electronic systems, the enclosure may be open to the outside with multiple apertures in the cavity wall. Given the incident external RF radiation, the size and shape of the aperture determine the amount of EM power coupled into the cavity. Therefore, it is important to quantitatively study the site-specific aperture excitation and coupling.
![A-4](/assets/images/research/RC/IEMI-1.png) 
![A-5](/assets/images/research/RC/IEMI-2.png) 
## Application IV: Statistical Characterization of Cavity Quality Factor
The cavity quality factor (Q-factor) is a fundamental parameter in analyzing the field properties of confined electromagnetic (EM) environments. To analyze stochastic EM fields in large enclosures, there has been a strong interest in characterizing the cavity quality factor in terms of a probability density function (PDF).
Whereas previous work has focused on the Q-factor statistics for cavities with homogeneous, distributed losses (i.e. uniform dielectric loss and cavity wall loss), there has been little discussion of the statistical cavity Q-factor due to localized losses (e.g. aperture leakage, absorptive loading). In this work, we have solved this problem elegantly by using a newly developed stochastic Green’s function approach. The statistical predictions are validated by numerical simulations and experimental results.
![A-6](/assets/images/research/RC/Q-1.png)
![A-7](/assets/images/research/RC/Q-2.png) 
![A-8](/assets/images/research/RC/Q-3.png)

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---
layout: post
title: Electromagnetic Information Theory for Wireless Communication
permalink: /applications/statistical-channel/
---
# Deterministic and Statitical Modeling of Wireless Channel
Wireless communications are expected to take place in increasingly complicated scenarios, such as dense urban, forest, tunnel and other cluttered environments. A key emerging challenge is to understand the physics and characteristics of wave propagation in these environments, which is critical for the analysis, design, and application of advanced mobile and wireless communication systems.
Growing sophistication in wireless communication systems, as well as the increasing demand for network capacity have driven the evolution of propagation models. Taking the cellular network for example, the progression of channel models is summarized in Fig. 1. We notice that rapidly increasing features, higher spatial resolutions, and expended use cases are developed in order to better approximate the real-world propagation scenarios. Namely, the channel models are consistently evolving towards higher fidelity predictions.
![ProblemStatement](/assets/images/research/Wireless-Channel/Figure1.jpg)
## Full-wave Field-based Wireless Channel Modeling at the City Scale
We present a full-wave field-based computational methodology for radio wave propagation in complex urban environments. Both transmitting/receiving antennas and propagation environments are modeled by first-principles calculations. System-level, large scene analysis is enabled by scalable, ultra-parallel algorithms on emerging high-performance computing platforms. By simultaneously considering mutual interactions of Tx/Rx antennas, ground stations, and operational environments, this work provides a reliable performance assessment of massive MIMO systems. The advancements are expected to improve the understanding of propagation physics, to predict the wireless channel’s behavior, and to maintain a high level of confidence in next-generation mobile and wireless communication systems. The proposed computational framework is verified and validated with semi-analytical models and representative measurements.
![Channel1](/assets/images/research/Wireless-Channel/Wireless-Channel-Modeling1.png)
![Channel2](/assets/images/research/Wireless-Channel/Wireless-Channel-Modeling2.png)
#### B. MacKie-Mason, Y. Shao, A. Greenwood and Z. Peng, "Supercomputing-Enabled First-Principles Analysis of Radio Wave Propagation in Urban Environments," in IEEE Transactions on Antennas and Propagation, vol. 66, no. 12, pp. 6606-6617, Dec. 2018.
#### B. MacKie-Mason, A. Greenwood and Zhen Peng , "Adaptive and Parallel Surface Integral Equation Solvers for Very Large-Scale Electromagnetic Modeling and Simulation (Invited Paper)," Progress In Electromagnetics Research, Vol. 154, 143-162, 2015.
#### X. -M. Pan, W. -C. Pi, M. -L. Yang, Z. Peng and X. -Q. Sheng, "Solving Problems With Over One Billion Unknowns by the MLFMA," in IEEE Transactions on Antennas and Propagation, vol. 60, no. 5, pp. 2571-2574, May 2012
#### H. -W. Gao, Z. Peng and X. -Q. Sheng, "A Geometry-Aware Domain Decomposition Preconditioning for Hybrid Finite Element-Boundary Integral Method," in IEEE Transactions on Antennas and Propagation, vol. 65, no. 4, pp. 1875-1885, April 2017
#### Z. Peng and J. -F. Lee, "Non-Conformal Domain Decomposition Method With Mixed True Second Order Transmission Condition for Solving Large Finite Antenna Arrays," in IEEE Transactions on Antennas and Propagation, vol. 59, no. 5, pp. 1638-1651, May 2011
## Electromagnetic Information Theory for Wireless Communication
Electromagnetic field theory provides the fundamental physics of wireless communications. Over the pastdecades, EM theory has played a significant role in the design, performance assessment, and deployment planningof wireless devices and systems. Meanwhile, ever increasing demands for the network capacity in wireless communications have pushed the data rate towards and beyond multi-Gigabits per second (Gbps). Massive distributed arrays, mm-wave bands, network densification, and new waveforms serve as promising and powerfuloptions for achieving these rates. One limiting factor preventing these emerging wireless systemsfrom realizing their full potential is our understanding of the physical layer. Specifically, our ability to faithfully model the physics of wireless signal propagation channels in diverse and complex environments.
The objective of this research is to investigate electromagnetic information theory for wireless communication through complicated diffuse mulitpath environments. Applications include indoor radio channels, dense urban cells, transmission through diffusive random media and disordered media, etc. The objective is attained by cutting across traditional disciplinary boundaries between electromagnetic theory, wave chaos physics, random statistical analysis and information theory. The methodology is to first establish fundamental statistical representations of diffuse multipath media, then integrate component-specificfeatures of transmitters and receivers, and finally encode the governing physics into the mathematical information theory. 
![ProblemStatement](/assets/images/research/ProblemStatement.jpg)
![SGFComm](/assets/images/research/SGFComm.png)

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---
# Feel free to add content and custom Front Matter to this file.
# To modify the layout, see https://jekyllrb.com/docs/themes/#overriding-theme-defaults
layout: banner
title: Home
cardTitle: Goals
cardDesc: We focus on developing mathematical and computational models to further the understanding and prediction of classical, chaotic, and quantum wave phenomena.
---
# Recent Projects and Events
<!--ITEM-->
## Sample 1
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
[Read More](/research/sample1)
![RIS](/assets/images/Sample1.png)
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## Sample 2
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
[Read More](/research/sample1)
![Sample1](/assets/images/Sample2.jpg)
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## Sample 3
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
[Read More](/research/sample3)
![RIS](/assets/images/Sample3.png)
<!--ITEM-->

@ -0,0 +1,46 @@
---
layout: banner
title: Applications
permalink: /applications/
cardTitle: Topics
cardDesc: We tackle a broad set of problems relating to the electromagnetic phenomena, from antennas and propagation, to electromagnetic interference/compatiblity, to wireless communication.
---
{: .alignCenter }
# Engineering Applications
<!--ITEM-->
## Full-Wave Field Solvers for Signal Integrity (SI) and EM Interference (EMI) Analysis of Product-Level Integrated Circuits (ICs) and Electronics
Ever-increasing complexity in high-speed electronic devices and systems presents significant computational challenges in numerical analysis in terms of desired accuracy, efficiency, and scalable parallelism. We investigate high-resolution, high-performance full-wave field solvers for scalable electromagnetic simulations of product-level integrated circuits (ICs) and electronics.
[Read More](/applications/SIEMI/)
![IEMIMotivation](/assets/images/research/Intra-System-EMIEMC/IEMI-2.png)
<!--ITEM-->
## Stochastic Wave Model Statistically Replicating Reverberation Chambers
We present a novel physics-oriented statistical representation for complex multipath environments, and develop a hybrid deterministic and stochastic formulation incorporating component-specific features. The advancements lead to a stochastic wave model statistically replicating mode-stirred reverberation chambers, and establish an imperative design-under-chaos capability for electronic devices and systems. The research work is evaluated and validated through representative experiments.
[Read More](/applications/reverberation-chamber/)
![RCMotivation](/assets/images/research/RC/IC_COE_Cavity_Result2.png)
<!--ITEM-->
## Deterministic and Statistical Modeling of Wireless Channel
we present a full-wave field-based computational methodology for radio wave propagation in complex urban environments. Both transmitting/receiving antennas and propagation environments are modeled by first-principles calculations. System-level, large scene analysis is enabled by scalable, ultra-parallel algorithms on emerging high-performance computing platforms. The proposed computational framework is verified and validated with semi-analytical models and representative measurements.
[Read More](/applications/statistical-channel/)
![Wireless](/assets/images/research/ABQFullWave.png)
<!--ITEM-->

@ -0,0 +1,105 @@
---
# Feel free to add content and custom Front Matter to this file.
# To modify the layout, see https://jekyllrb.com/docs/themes/#overriding-theme-defaults
layout: banner
title: Home
permalink: /
cardTitle: Mission
cardDesc: Our research is centered on investigating mathematical and computational models to further the understanding, prediction, and control of classical, chaotic, and quantum wave phenomena.
---
# About Us
Welcome to the Advanced Computational Electromagnetics (ACEM) Group (PI: Prof. Zhen Peng) at ECE Illinois, UIUC. Our rudimentary research is the pursuit of mathematical and computational models that enable the prediction and discovery of classical and quantum electrodynamic phenomena. These models will allow for the design and optimization of novel electromagnetic systems at unprecedented scales, and contribute through education to the advancement of understanding.
Our research is sponsored by National Science Foundation, Office of Naval Research, Defense Advanced Research Projects Agency (DARPA), DoD HPC Modernization Program, AFOSR/AFRL Center of Excellence, Army SBIR, Navy STTR, Nokia Corporation, VERUS Research, Lockheed Martin Aeronautics, CST-Computer Simulation Technology, and DSO National Laboratories.
<!--ITEM-->
# Group News
###     2023, Honorable Mention Award in Student Paper Competition at IEEE AP-S Symposium
          Qi Jian Lim received the 2023 IEEE Antennas and Propagation Symposium Student Paper Competition Honorable Mention Award. The title of the paper is “Full-Wave Simulation of a 10,000-element Reconfigurable Intelligent Surface with a Single Workstation Computer”.
###     2023, Honorable Mention Award in Student Paper Competition at IEEE AP-S Symposium
          Sangrui Luo received the 2023 IEEE Antennas and Propagation Symposium Student Paper Competition Honorable Mention Award. The title of the paper is “A Hybrid Predictive Model for the Spatial-Spectral Analysis of Wave Physics in Complex Enclosures”. 
###     2023, TICRA-EurAAP Grant Awardee at EuCAP 2023
          Congratulations to Qi Jian Lim for being selected as one of the eight awardees of the TICRA-EurAAP Grants at 17th European Conference on Antennas and Propagation.
###     2022, Best Electromagnetics Paper Award at 16th European Conference on Antennas and Propagation
         Our Paper “Quantum-Assisted Combinatorial Optimization of Reconfigurable Intelligent Surfaces” (Qi Jian Lim, Charles Ross, Gabriele Gradoni, and Zhen Peng) received the Best Electromagnetics Paper Award at the 16th European Conference on Antennas and Propagation (EuCAP2022). 
We proposed a physics-based optimization approach for reconfigurable intelligent surfaces, inspired by the quantum mechanical physics of correlated spins. The new idea is grounded on the isomorphism between the electromagnetic scattered power and Ising Hamiltonian. Thereby, the problem of optimizing phase configuration is converted into finding the ground state of the target Ising Hamiltonian. Under this framework, we successfully demonstrated the feasibility of combinatorial optimization for weighted beamforming and diffusive scattering applications.
###     2022, Best Paper Award Finalist at IEEE EMC Symposium 
        Our paper, “On the Vectorial Property of Stochastic Dyadic Green’s Function in Complex Electronic Enclosures” entered into the 2022 Best EMC Symposium Paper Finalist in the 2022 IEEE International Symposium on Electromagnetic Compatibility, Signal & Power Integrity. 
###      2022, Yuen T. Lo Outstanding Research Award
Shen Lin received the Yuen T. Lo Outstanding Research Award in the Department of Electrical & Computer Engineering (ECE) at the University of Illinois at Urbana-Champaign (UIUC). Congratulations to Shen!
https://ece.illinois.edu/academics/grad/awards/lo
###      2021, Best Conference Paper Award at 30th Electrical Performance of Electronic Packaging and System
         Our Paper “On the Statistical Analysis of Space-Time Wave Physics in Complex Enclosures” (Shen Lin and Zhen Peng) received the Best Paper Award at 30th Electrical Performance of Electronic Packaging and System (EPEPS2021). 
        We proposed a physics-oriented, mathematically tractable statistical wave model, named the space-time stochastic Green’s function, for analyzing the wave physics of high-frequency reverberation within complex confined electromagnetic environments. The model characterizes both spatial and temporal variations and correlations of wave fields without the need for detailed knowledge of the complex environment. Experimental results are supplied to validate the proposed work.
###      2021, Honorable Mention Award and Final list in Student Paper Competition at IEEE AP-S Symposium
          Shen Lin received the 2021 IEEE Antennas and Propagation Symposium Student Paper Competition Honorable Mention Award. The title of the paper is “A Space-Time Stochastic Green’s Function Method for Statistical Analysis of Wave Physics in Ray-Chaotic Enclosures”. 
###     2020, 3rd Place Winner in Student Paper Competition at IEEE AP-S Symposium
         Our Paper “Statistical Analysis of Information Transmission in Ray-Chaotic Enclosures: A Stochastic Green's Function Approach” (Shen Lin and Zhen Peng) won the 3rd place in Student Paper Competition (SPC) at 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting (2020 IEEE AP-S). A total of 203 student papers entered into the SPC this year.
        There has been much interest in studying the physics of wireless channels in strongly scattering, indoor environments displaying ray chaotic dynamics. This paper presents a physics-based mathematical model, so-called stochastic Green’s function, built upon Wigner’s random matrix theory and Berry random wave hypothesis. The work can be used to characterize the channel capacity, spatial correlation, and coherence bandwidth based on macroscopic knowledge of the propagation environment.
###     2019, Best Conference Paper Award at 28th Electrical Performance of Electronic Packaging and System
         Our Paper “A Novel Space-Time Building Block Methodology for Transient Electromagnetic Analysis” (Shu Wang and Zhen Peng) received the Best Paper Award at 28th Electrical Performance of Electronic Packaging and System (EPEPS2019). 
        We proposed a space-time building block methodology for efficient time-domain analysis of multi-scale, locally periodic structures. By leveraging the principles of linear superposition and space-time causality in wave physics, the 4D simulation domain is represented by a few space-time building blocks, which are constructed upon 3D spatial unit cell and 1D time unit. The work results in novel time-evolution schemes, which exhibit high-order accuracy and achieve concurrency and parallelism in both spatial and temporal dimensions. 
###     2019, Best Paper Award at IEEE EMC Symposium 
        Our paper, “A Novel Statistical Model for the Electromagnetic Coupling to Electronics inside Enclosures” has been selected as 2019 Best EMC Symposium Paper Award in the 2019 IEEE International Symposium on Electromagnetic Compatibility, Signal & Power Integrity, https://www.emc2019.emcss.org. It is a joint work with Edl Schamiloglu (UNM), Zachary B. Drikas (NRL), and Thomas Antonsen (UMD). 
        The work is supported by NSR CAREER Award, and AFOSR/AFRL Center of Excellence: Science of Electronics in Extreme Electromagnetic Environments. http://ece-research.unm.edu/AFOSR-COE/
###     2019, Honorable Mention Award at IEEE AP-S Symposium Student Paper Competition
          Shen Lin received the 2019 IEEE Antennas and Propagation Symposium Student Paper Competition Honorable Mention Award. The title of the paper is “Physics-Oriented Statistical Analysis of Information Transmission in Wave-Chaotic Environments”. 
###     2019, 3rd Place in Student Paper Competition at NEMO Conference
         Oameed Noakoasteen received the 3rd place in the student paper competition at 2019 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization. The title of the paper is “Physics-Informed deep Neural Networks for Transient Electromagnetic Analysis”. Congratulations to Oameed.
         We propose a deep convolutional encoder-recurrent-decoder architecture to predict the time-evolution in transient electromagnetics. Based on the principles of linear superposition and space-time causality, the network is able to superimpose the learned scattering mechanisms (wave reflection, diffraction, and creeping wave, etc.) locally and emulate the transient electromagnetic problems. It is a joint work with Mr. Shu Wang.
###     2019, 1st Place in Student Paper Competition at ACES Symposium
          Shu Wang received the 1st place in the student paper competition at 2019 International Applied Computational Electromagnetics Society (ACES) Symposium. The title of the paper is “Platform-aware In-situ Antenna and Metamaterial Analysis and Design”. Congratulations to Shu!
        The objective of this paper is to build a reconfigurable, reusable, and parallel model reduction platform towards transformative in-situ antenna design. The key idea is to introduce a separable and compressible platform Green’s function in an up-front offline computation. Once obtained, the online computational complexity does not depend on the size of the in-situ platform. As a result, in-situ design and optimization of multi-antenna systems can be performed at the same cost as the free-space radiation. The advancements make high-fidelity in-situ antenna design orders of magnitude faster. It is a joint work with Dr. Brian MacKie-Mason and Dr. Hongwei Gao.
###     2019 ACES Symposium Short Course
        Ever-increasing fidelity and accuracy needs for advanced electromagnetic (EM) applications have been pushing the problem sizes toward extreme scales. It puts a high premium on the investigation of high-performance algorithms with optimal computational complexity. In recent years, domain decomposition (DD) methods have enjoyed considerable success in solving large multi-scale EM problems. These methods feature divide-and-conquer in solution algorithms (applying the most suitable solution strategy to solve each sub-problem) and plug-in-play in software architectures (integrating individual EM solvers into a portable and extensible solution suite). They also result in highly efficient and naturally parallelizable algorithms on distributed memory many-core parallel computing systems. 
        This short course will review and discuss recent progress in the DD methods for solving differential and integral equations with applications to large-scale EM problems.

@ -5,11 +5,82 @@ permalink: /publications/
---
# Publications
# Publications and Conference Presentations
## 2019
[J.2] Shen Lin, Zhen Peng and Thomas Antonsen, "A Stochastic Green's Function for Solution of Wave Propagation in Wave-Chaotic Environments," IEEE Transactions on Antennas and Propagation, DOI: 10.1109/TAP.2019.2963568 (email: zvpeng@illinois.edu)
## 2023:
[Book forthcoming] Integral Equations for Analysis of Real-life Multi-scale Electromagnetic Problems, Editors: Francesca Vipiana, Zhen Peng, IET Academic Books
[J.1] S. Lin, S. Luo, S. Ma, J. Feng, Y. Shao, Z. B. Drikas, B. D. Addissie, S. M. Anlage, T. Antonsen, and Z. Peng, "Predicting Statistical Wave Physics in Complex Enclosures: A Stochastic Dyadic Green's Function Approach," in IEEE Transactions on Electromagnetic Compatibility, vol. 65, no. 2, pp. 436-453, April 2023.
[C.9] Shen Lin, Yang Shao, Bisrat D. Addissie, Zachary Drikas, and Zhen Peng, “Statistical Characterization of Cavity Quality Factor via the Stochastic Green’s Function Approach”, 2023 IEEE International Symposium on Electromagnetic Compatibility, Signal & Power Integrity, Grand Rapids, Michigan, USA, August 2023.
[C.8] Qi Jian Lim, Hong-Wei Gao, and Zhen Peng, “Full-Wave Simulation of a 10,000-element Reconfigurable Intelligent Surface with a Single Workstation Computer”, 2023 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, San Diego, California, USA, July 2023. (Honorable Mention Award in SPC)
[C.7] Sangrui Luo, Shen Lin, and Zhen Peng, “A Hybrid Predictive Model for the Spatial-Spectral Analysis of Wave Physics in Complex Enclosures”, 2023 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, San Diego, California, USA, July 2023. (Honorable Mention Award in SPC)
[C.6] Charles Ross, Gabriele Gradoni, and Zhen Peng, “A Hybrid Classical-Quantum Computing Framework for RIS-assisted Wireless Network”, 2023 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO'2023), June 28 - 30, 2023, Winnipeg, Canada.
[C.5] Qi Jian Lim and Zhen Peng, “Engineering Super-resolution Antenna Array by Quantum Integer Programming”, 17th European Conference on Antennas and Propagation, Florence, Italy, March 2023.
[C.4] Charles Ross, Qi Jian Lim, Gabriele Gradoni, and Zhen Peng, “Ultrafast Channel Estimation and Optimization with Reconfigurable Intelligent Surfaces: A Hybrid Classical-Quantum Computing Model”, 17th European Conference on Antennas and Propagation, Florence, Italy, March 2023.
[C.3] Gabriele Gradoni, Sergio Terranova, Qi Jian Lim, Charles Ross, and Zhen Peng, “Random Ising Hamiltonian Model of Metasurfaces in Complex Environments”, 17th European Conference on Antennas and Propagation, Florence, Italy, March 2023.
[C.2] Sangrui Luo, Shen Lin, and Zhen Peng, “An Augmented Stochastic Green’s Function Method with the Short-orbit Contribution,” 2023 International Applied Computational Electromagnetics Society (ACES) Symposium, Monterey, California, USA, March 2023. (Best Student Paper Finalist)
[C.1] Zhen Peng, “Quantum Machine Learning for Engineering Reconfigurable Intelligent Surfaces,” SIAM Conference on Computational Science and Engineering (CSE23), Amsterdam, The Netherlands, February 2023. (Abstract and invited talk)
## 2022:
[Roadmap Paper] Smart Surface Radio Environments, Reviews of Electromagnetics, Vol. I, 2022, DOI: 10.53792/RoE/2022.1/21012
[J.1] Hong-wei Gao, Shu Wang, Xin-qing Sheng, and Z. Peng, "Rapid Numerical Analysis of Electrically Large PEC Platforms With Local Variations via a Platform Green’s Function Method," in IEEE Transactions on Antennas and Propagation, vol. 70, no. 10, pp. 9544-9556, Oct. 2022.
[C.6] Shen Lin, Yang Shao, and Zhen Peng, "On the Vectorial Property of Stochastic Dyadic Green's Function in Complex Electronic Enclosures," 2022 IEEE International Symposium on Electromagnetic Compatibility & Signal/Power Integrity (EMCSI), Spokane, WA, USA, 2022.
[C.5] V. F. Martin, A. Serna, J. Tobón, Z. Peng and F. Vipiana, "Efficient Solution of Multi-Scale Problems with Localized Mesh Refinement Schemes and Huygens’ Surfaces," 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Denver, CO, USA, 2022.
[C.4] Charles Ross, Gabriele Gradoni, and Zhen Peng, "Optimization of Reconfigurable Intelligence Surfaces at Wireless Endpoints via the Ising Spin Glass Model," 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Denver, CO, USA, 2022.
[C.3] Charles Ross, Gabriele Gradoni, and Zhen Peng, “Combinatorial Optimization of Reconfigurable Intelligence Surfaces at Wireless Endpoints using the Ising Spin Glass Model,” 3rd URSI AT-AP-RASC, Gran Canaria, 29 May - 3 June 2022.
[C.2] Qi Jian Lim and Zhen Peng, "Quantum Integer Programming for Super-resolution Array Beamforming," 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Denver, CO, USA, 2022.
[C.1] Qi Jian Lim, Charles Ross, Gabriele Gradoni, and Zhen Peng, “Quantum-Assisted Combinatorial Optimization of Reconfigurable Intelligent Surfaces”, 16th European Conference on Antennas and Propagation, March 2022. (Best Electromagnetics Paper Award)
## 2021:
[J.1] Charles Ross, Gabriele Gradoni, Qi Jian Lim, and Z. Peng, "Engineering Reflective Metasurfaces With Ising Hamiltonian and Quantum Annealing," in IEEE Transactions on Antennas and Propagation, vol. 70, no. 4, pp. 2841-2854, April 2022.
[C.7] S. Lin and Z. Peng, "On the Statistical Analysis of Space-Time Wave Physics in Complex Enclosures, "2021 IEEE 30th Conference on Electrical Performance of Electronic Packaging and Systems (EPEPS), Austin, TX, USA, 2021 (Best Conference Paper Award).
[C.6] F. Guo et al., "The IEEE EPS Packaging Benchmark Suite," 2021 IEEE 30th Conference on Electrical Performance of Electronic Packaging and Systems (EPEPS), Austin, TX, USA, 2021, pp. 1-4, doi: 10.1109/EPEPS51341.2021.9609142.
[C.5] Shen Lin and Zhen Peng, "On the Information Entropy of Ray-Chaotic Indoor Environments," 2021 International Conference on Electromagnetics in Advanced Applications (ICEAA), Honolulu, HI, USA, 2021.
[C.4] Charles Ross, Qi Jian Lim, Gabriele Gradoni, and Zhen Peng, "Engineering Reflective Intelligence Surface by Quantum Adiabatic Evolution," 2021 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Singapore, Dec. 2022.
[C.3] Shen Lin and Zhen Peng, "A Space-Time Stochastic Green’s Function Method for Statistical Analysis of Wave Physics in Ray-Chaotic Enclosures," 2021 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Singapore, Dec. 2022.
[C.2] Charles Ross, Gabriele Gradoni, and Zhen Peng, "Engineering Reflective Intelligence Surface with Ising Hamiltonian and Quantum Annealing," 2021 International Applied Computational Electromagnetics Society Symposium (ACES), Hamilton, ON, Canada, 2021. (Best Student Paper Finalist)
[C.1] E. Schamiloglu et al., "The Science of Electronics in Extreme Electromagnetic Environments I - Enclosure Coupling," 2021 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM), Boulder, CO, USA, 2021.
## 2020:
[J.1] Oameed Noakoasteen, Shu Wang, Zhen Peng, and Christos Christodoulou, "Physics-Informed Deep Neural Networks for Transient Electromagnetic Analysis," in IEEE Open Journal of Antennas and Propagation, vol. 1, pp. 404-412, 2020.
[J.2] Shen Lin, Zhen Peng, and Thomas M. Antonsen, "A Stochastic Green’s Function for Solution of Wave Propagation in Wave-Chaotic Environments," in IEEE Transactions on Antennas and Propagation, vol. 68, no. 5, pp. 3919-3933, May 2020.
[J.3] J. A. Tobon Vasquez, Z. Peng, J. -F. Lee, G. Vecchi and F. Vipiana, "Automatic Localized Nonconformal Mesh Refinement for Surface Integral Equations," in IEEE Transactions on Antennas and Propagation, vol. 68, no. 2, pp. 967-975, Feb. 2020.
[C.1] Shen Lin and Zhen Peng, "Statistical Analysis of Information Transmission in Ray-Chaotic Enclosures: A Stochastic Green’s Function Approach," 2020 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Montreal, Quebec, Canada, July 2020. (3rd place in the student paper competition)
## 2019
[J.1] Shu Wang, Yang Shao, and Zhen Peng, "A Parallel-in-Space-Time Method for Transient Electromagnetic Problems", IEEE Transactions on Antennas and Propagation, DOI: 10.1109/TAP.2019.2909937, 2019. 
@ -349,116 +420,4 @@ permalink: /publications/
[50] Zhen Peng and Xin-Qing Sheng, “A FEM-Based fast algorithm forhigh-order modes in dielectric-loaded waveguides,” Asia-Pacific Microwave Conference (APMC) Proceedings, IEEE Press, pp. 745-749, 2005.
# Awards
## 2020 IEEE AP-S Student Paper Competition 3rd Place Winner
Our Paper “Statistical Analysis of Information Transmission in Ray-Chaotic Enclosures: A Stochastic Green's Function Approach” (Shen Lin and Zhen Peng) won the 3rd place in Student Paper Competition (SPC) at 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting (2020 IEEE AP-S). A total of 203 student papers entered into the SPC this year.
There has been much interest in studying the physics of wireless channels in strongly scattering, indoor environments displaying ray chaotic dynamics. This paper presents a physics-based mathematical model, so-called stochastic Green’s function, built upon Wigner’s random matrix theory and Berry random wave hypothesis. The work can be used to characterize the channel capacity, spatial correlation, and coherence bandwidth based on macroscopic knowledge of the propagation environment.
## 2019 28th Electrical Performance of Electronic Packaging and System Best Paper Award
Our Paper “A Novel Space-Time Building Block Methodology for Transient Electromagnetic Analysis” (Shu Wang and Zhen Peng) received the Best Paper Award at 28th Electrical Performance of Electronic Packaging and System (EPEPS2019). 
We proposed a space-time building block methodology for efficient time-domain analysis of multi-scale, locally periodic structures. By leveraging the principles of linear superposition and space-time causality in wave physics, the 4D simulation domain is represented by a few space-time building blocks, which are constructed upon 3D spatial unit cell and 1D time unit. The work results in novel time-evolution schemes, which exhibit high-order accuracy and achieve concurrency and parallelism in both spatial and temporal dimensions. 
## 2019 IEEE EMC Symposium Best Paper Award
Our paper, “A Novel Statistical Model for the Electromagnetic Coupling to Electronics inside Enclosures” has been selected as 2019 Best EMC Symposium Paper Award in the 2019 IEEE International Symposium on Electromagnetic Compatibility, Signal & Power Integrity, https://www.emc2019.emcss.org. It is a joint work with Edl Schamiloglu (UNM), Zachary B. Drikas (NRL), and Thomas Antonsen (UMD). The work is supported by NSR CAREER Award, and AFOSR/AFRL Center of Excellence: Science of Electronics in Extreme Electromagnetic Environments. http://ece-research.unm.edu/AFOSR-COE/
## 2019 IEEE AP-S Symposium Student Paper Competition Honorable Mention Award
Mr. Shen Lin received the 2019 IEEE Antennas and Propagation Symposium Student Paper Competition Honorable Mention Award. The title of the paper is “Physics-Oriented Statistical Analysis of Information Transmission in Wave-Chaotic Environments”. 
## 2019 NEMO Conference 3rd Place in Student Paper Competition
Mr. Oameed Noakoasteen received the 3rd place in the student paper competition at 2019 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization. The title of the paper is “Physics-Informed deep Neural Networks for Transient Electromagnetic Analysis”. Congratulations to Oameed.
We propose a deep convolutional encoder-recurrent-decoder architecture to predict the time-evolution in transient electromagnetics. Based on the principles of linear superposition and space-time causality, the network is able to superimpose the learned scattering mechanisms (wave reflection, diffraction, and creeping wave, etc.) locally and emulate the transient electromagnetic problems. It is a joint work with Mr. Shu Wang.
## 2019 ACES Symposium 1st Place in Student Paper Competition
Mr. Shu Wang received the 1st place in the student paper competition at 2019 International Applied Computational Electromagnetics Society (ACES) Symposium. The title of the paper is “Platform-aware In-situ Antenna and Metamaterial Analysis and Design”. Congratulations to Shu!
The objective of this paper is to build a reconfigurable, reusable, and parallel model reduction platform towards transformative in-situ antenna design. The key idea is to introduce a separable and compressible platform Green’s function in an up-front offline computation. Once obtained, the online computational complexity does not depend on the size of the in-situ platform. As a result, in-situ design and optimization of multi-antenna systems can be performed at the same cost as the free-space radiation. The advancements make high-fidelity in-situ antenna design orders of magnitude faster. It is a joint work with Dr. Brian MacKie-Mason and Dr. Hongwei Gao.
## 2019 ACES Symposium Short Course
Ever-increasing fidelity and accuracy needs for advanced electromagnetic (EM) applications have been pushing the problem sizes towards extreme scales. It puts a high premium on the investigation of high-performance algorithms with optimal computational complexity. In recent years, domain decomposition (DD) methods have enjoyed considerable success in solving large multi-scale EM problems. These methods feature divide-and-conquer in solution algorithms (applying the most suitable solution strategy to solve each sub-problem) and plug-in-play in software architectures (integrating individual EM solvers into a portable and extensible solution suite). They also result in highly efficient and naturally parallelizable algorithms on distributed memory many-core parallel computing systems. This short-course will review and discuss recent progresses in the DD methods for solving differential and integral equations with applications to large-scale EM problems.
## 2018 ICEAA - IEEE APWC Best Paper Award
Our paper, “A Stochastic Green’s Function - Integral Equation Method for Communication in Diffusive Multipath Environments,”received Best Paper Award at International Conference on Electromagnetics in Advanced Applications (ICEAA) and IEEE-APS Topical Conference on Antennas andPropagation in Wireless Communications (APWC) (Shen Lin, Evelyn Dohme and Zhen Peng). The work is supported by NSF CAREER Award and AFOSR/AFRL Center of Excellence: Science of Electronics in Extreme Electromagnetic Environments. 
## 2018 Best Paper - IEEE Transactions on Components, Packaging and Manufacturing Technology
Our paper, “High-Fidelity, High-Performance Computational Algorithms for Intersystem Electromagnetic Interference Analysis of IC and Electronics,” has been selected to 2018 Best Paper - IEEE Transactions on Components, Packaging and Manufacturing Technology in the Electrical Performance of Integrated Systems category. The selection of best papers is made by the Editors-in-Chief and Associate Editors from all papers published in the Transaction. 
1The work is supported by AFOSR/AFRL Center of Excellence: Science of Electronics in Extreme Electromagnetic Environments. http://ece-research.unm.edu/AFOSR-COE/
## 2018 ACES Symposium 1st Place in Student Paper Competition
Mr. Shu Wang received the 1st place in the student paper competition at 2018 International Applied Computational Electromagnetics Society (ACES) Symposium. The title of the paper is “A Space-Time Domain Decomposition Method for High-fidelity Electromagnetic Simulation”. Congratulations to Shu!
Shu Wang joined Applied and Computational Electromagnetics Group in 2015. His research is focused on novel computational methods for time domain electromagnetics problems. This paper addresses a growing need for space- time parallel simulation capability in electromagnetics applications. Currently time-dependent EM solvers are typically parallel only in space. The sequential-in-time nature of these solvers can achieve good parallel scaling when the number of spatial mesh points per core is large. But the parallel efficiency quickly deteriorates and even saturates if spatial parallelism has been fully exploited. We proposed a new time domain EM solver to harvest parallelism in both spatial and temporal dimension. This work results in a scalable parallel time domain solver which can amend the scalability issue for traditional ones.
## 2018 National Science Foundation CAREER Award
Dr. Zhen Peng received the National Science Foundation CAREER Award for a project titled "Physics-Oriented Statistical Wave Analysis Integrating Order and Chaos." The award is made by NSF Division of Electrical, Communications and Cyber systems (ECCS), Engineering Directorate.
## 2017 26th Electrical Performance of Electronic Packaging and System Best Paper Award
Mr. Shen Lin received the 26th Electrical Performance of Electronic Packaging and System (EPEPS2017) Best Student Paper Award. The title of the paper is “A novelstochastic wave model statistically replicating reverberation chambers”. Congratulations to Shen!
This paper presents a novel physics-oriented statistical representation for complex multipath environments, and develops a hybrid deterministic and stochastic formulation incorporating component-specific characteristics. The advancements leadto a stochastic wave model statistically replicating mode-stirredreverberation chambers, and establish an imperative design-under-chaos capability for electronic devices and systems. Theresearch work is evaluated and validated through representativeexperiments. 
## 2017 IEEE Albuquerque Section's Outstanding Young Engineer Award 
Dr. Zhen Peng received the IEEE Albuquerque Section's Outstanding Young Engineer Award on 15 May, 2017. Dr. Peng receives the award for the contributions to the development of novel computational electromagnetic algorithms, including a hybrid statistical/deterministic approach for complex wave-chaotic systems. 
## 2017 IEEE AP-S Symposium Student Paper Competition Honorable Mention Award
Mr. Shen Lin received the 2017 IEEE Antennas and Propagation Symposium Student Paper Competition Honorable Mention Award. The title of the paper is “Quantitative Statistical Analysis with Physics-basedSurrogate Modeling for Wave Chaotic Systems”. 
## SPI 2017 Young Investigator Training Program Awardee
Dr. Zhen Peng was selected as an Awardee of 21th IEEE Workshop on Signal and Power Integrity (SPI2016) Young Investigator Training Program. It is a research award to support participation to the conference, as well as travel costs, lodging and meals for a one-month visiting period in one of the research centers at Italy. Dr. Peng is hosted by Prof. Giuseppe Vecchi and Prof. Francesca Vipiana in Politecnico Di Torino, Italy. The research work investigates the automatic localized multi-resolution non-conformal mesh refinement for surface integral equations.
## 2017 International Microwave Symposium (IMS) best Advanced Practice Paper Competition
The paper with title "Supercomputing-Enabled First-Principles Analysis of Wireless Channels in Real-World Environments" entered into the best IMS Advanced Practice Paper in 2017 IEEE IMS symposium.
## UNM ECE 2017 Graduate Student Excellence Award to Brian MacKie-Mason
Brian MacKie is a Ph.D. student in the Department of Electrical and Computer Engineering (ECE) with a focus in computational electromagnetics. He received his M.S. and B.S. from University of Wisconsin-Madison and University of Michigan. Recently, he was awarded with the 2017 UNM ECE Graduate Student Excellence Award for his work on high-performance, high-fidelity integral equation methods for time-harmonic Maxwell Equations. The developed solvers presents quasi-linear computational complexity for high-frequency electromagnetic wave problems. He also received the 3rd prize of ECE Student Paper Competition in 2016. Congratulations to Brian!
## 2016 Young Scientist Awardee at URSI Asia-Pacific Radio Science Conference
Dr. Zhen Peng was selected as one of the Young Scientist Award (YSA) recipients at URSI Asia-Pacific Radio Science Conference.The paper by HongWei Gao, Zhen Peng, and Xin-Qing Sheng, presents the geometry-aware hybrid finite element-boundary internal equation method with scalable convergence and quasi-linear computational complexity.
## SPI 2016 Best Poster Paper Award
The paper by Shen Lin, Hong-Wei Gao and Zhen Peng has received the best poster paper award from 20th IEEE Workshop on Signal Integrity and Power Integrity (SPI 2016). The title of the paper is "High-Fidelity, high-performance full-wave computational algorithm for intra-system EMI analysis of IC and electronics".
## SPI 2016 Young Investigator Training Program Awardee
Dr. Zhen Peng was selected as an Awardee of 20th IEEE Workshop on Signal and Power Integrity (SPI2016) Young Investigator Training Program. It is a research award to support participation to the conference, as well as travel costs, lodging and meals for a one-month visiting period in one of the research centers at Italy. Dr. Peng is hosted by Prof. Maurizio Bozzi and Prof. Luca Perregrini in University of Pavia, Italy. The research work investigates the boundary integral-resonant mode expansion (BI-RME) method and its application in signal integrity problems of IC and electronics.
## UNM ECE Department's Distinguished Researcher Award 2016
Dr. Zhen Peng was awarded The University of New Mexico (UNM) Department of Electrical and Computer Engineering (ECE) 2016 Distinguished Researcher Award. This award honors professor in ECE department who has performed exceptionally well in the year of 2015-2016.
## ACES Early Career Award 2015
Dr. Zhen Peng was awarded The Early Career Award by the Applied Computational Electromagnetics Society (ACES) at its Conference last March in historic Williamsburg, Virginia. This award honors achievements and contributions in the field of computational electromagnetics by a researcher who is under 35 years old.
## Young Scientist Award from URSI GASS 2014
The URSI YoungScientist Awards are presented at the General Assemblies of URSI to recognizean international group of individuals who have made innovative contributionsand discoveries in multidiscipline research related to electromagnetic fieldsand waves. The award recognizes our work on efficient and robustintegral equation based solution of large multi-scale electromagnetic problems.The results obtained through this research greatly simplify the modelpreparation and mesh generation for complex electromagnetic simulation.Moreover, this work provides an effective preconditioning scheme for theintegral equation based solution of multi-scale problems. The strength andflexibility of the proposed method are illustrated by means of severalchallenge real-world applications.
 
## Welcome Ms. Haley Brown and Mr. Michael Sosebee to our group! 
Both Ms. Haley Brown and Mr. Michael Sosebee are high school students, which are hired through the UNM Youth Summer Hire program. The target is on promoting involvement in mathematics and science among New Mexico high school students and collaborating with UNM's teachers to improve the teaching and learning of mathematics and science. 
## 2014 IEEE Antenna and Propagation Sergei A. Schelkunoff Transactions Prize Paper Award! 
We (Z. Peng, K.-H. Lim and J.-F. Lee) are excited to be the awardee of the 2014  IEEE Antenna and Propagation Sergei A. Schelkunoff Transactions Prize Paper Award. The S. A. Schelkunoff Prize paper award recognizes the best paper published in the IEEE Transactions on Antennas and Propagation for the previous Year. The award will be presented at the IEEE APS/URSI Symposium in Memphis. 

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title: Research
permalink: /research/
cardTitle: Goals
cardDesc: Our goal is to simulate classical and quantum electrodynamic physics with intelligent algorithms on state-of-the-art computers, where virtual experiments can be performed for the prediction, discovery, and design of complex systems.
---
# Research Statement
The foundation of our research is theoretical, computational, and statistical electromagnetics. The classical electromagnetic (EM) theory guided by Maxwell’s Equations has been around for over 150 years. It has an incredible impact on many modern technologies such as antennas and wireless communication, integrated circuits and computer technologies, remote sensing, lasers and optoelectronics, and more. Nowadays, with the exponential growth in computing power, machine intelligence and data revolution, quantum technologies and materials, there are enormous opportunities to continue advancing fundamental EM theories toward next-generation technology developments and applications.
![Overview](/assets/images/research/ResearchOverview2019.png)
Our rudimentary research is the pursuit of mathematical and computational models that enable the prediction and discovery of classical and quantum electrodynamic phenomena. These models will allow for the design and optimization of novel electromagnetic and wireless systems at unprecedented scales, and contribute through education to the advancement of understanding.
Our recent research focus on four interrelated areas: (1) classical electromagnetism with scalable algorithms, (2) statistical electromagnetics integrating order and chaos, (3) quantum electromagnetics: simulating probability in space and time domain, and (4) Smart Radio Environments for NextG wireless systems.
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# Research Topics
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## Domain Decomposition Methodology for Solving Maxwell's Equations at Scale
The goal of this research is to investigate first-principles modeling and analysis tools for these extremely large, multi-scale problems. The emphasis is placed on advancing parallel algorithms that are provably scalable, and facilitating a design-through-analysis paradigm for emerging and future complex systems.
[Read More](/research/domain-decomposition/)
![DomainDecomposition](/assets/images/research/DDOverview.png)
<!--ITEM-->
## Physics-Oriented Statistical Wave Analysis for Chaotic and Disordered Scattering Environments
The main objective of this work is to investigate new fundamental mathematical models and computational algorithms for statistical wave analysis in complex, confined EM environments. This objective is attained by integrating wave chaos physics, random statistical analysis, and high-performance algorithms on state-of-the-art computational platforms. The research will overcome key challenges in the statistical characterization of three general classes of problems, fully wave chaotic systems, mixed integrable and chaotic systems, and complex fluctuating scattering environments.
[Read More](/research/physics-oriented-statistical-wave-analysis/)
![CavityCase](/assets/images/research/SGF-Motivation.png)
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## Quantum Computing and Optimization in Smart Radio Environments
Fusing electromagnetic models with quantum computing (QC) algorithms for rapid optimization of reconfigurable intelligent surfaces (RIS)-assisted beyond-5G/6G wireless networks.
[Read More](/research/Quantum-optimization-RIS/)
![QuantumRIS](/assets/images/research/Quantum-RIS.png)
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title: Team
permalink: /team/
cardTitle: About
cardDesc: We are research group in the Department of Electrical Engineering at the University of Illinois Urbana-Champaign, focusing on applied and computational electromagnetics.
---
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# Our Team
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## Zhen Peng
Dr. Zhen Peng is the principal investigator of the ACEM Research Group. He is currently an Associate Professor at the Department of Electrical Engineering at the University of Illinois at Urbana-Champaign. His research interests are in the area of computational, statistical and applied electromagnetics. The goal is to simulate classical and quantum electrodynamic physics with intelligent algorithms on state-of-the-art computers, where virtual experiments can be performed for the prediction, discovery, and design of complex systems at unprecedented scales.
[Read More](/people/zhen-peng)
![ZhenPeng](/assets/images/people/zhen-peng-profile.png)
<!--ITEM-->
# Group Members
## Postdoc Research Asssociate
Shen Lin (Postdoc Research Associate): *shenlin2 at illinois.edu*.
## Graduate students
Charles Ross (PhD Graduate Student): *cr26 at illinois.edu*.
Sangrui Luo (PhD Graduate Student): *sangrui2 at illinois.edu*.
Qi Jian Lim (PhD Graduate Student): *qjlim2 at illinois.edu*.
Gonzalo Nunez Munoz (PhD Graduate Student): *gonzalo9 at illinois.edu*.
Kenneth Jao (PhD Graduate Student): *ksjao2 at illinois.edu*.

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# Zhen Peng
Home
Dr. Zhen Peng 
Associate Professor
Electromagnetics Lab and Center for Computational Electromagnetics
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+1 (217) 244-1259
zvpeng@illinois.edu
Dr. Zhen Peng is currently an Associate Professor at ECE ILLINOIS, University of Illinois at Urbana-Champaign. He was an Assistant Professor at Applied Electromagnetics Group, The University of New Mexico (2013-2019), and Senior Research Associate at ElectroScience Lab, The Ohio State University (2010-2013). His research interests are in the area of theoretical, computational, and applied electromagnetics. One long-term goal is to simulate classical and quantum electrodynamic physics with intelligent algorithms on state-of-the-art computers, where virtual experiments can be performed for the prediction, discovery, and design of complex systems at unprecedented scales. In pursuit of the long-term goal, the recent research focuses on three subjects: (1) supercomputing-enabled design-through-analysis towards extreme-scale, (2) physics-oriented statistical wave analysis integrating order and chaos, and (3) data-driven computational electrodynamics with machine intelligence. He also has considerable experiences in experimental electromagnetics, ranging from reverberation chamber, wireless propagation, and chaotic cavities. His research work has an extensive impact on both the civilian and commercial engineering applications, including advanced antennas, radio frequency integrated circuits, electromagnetic interference and compatibility, signal and power integrity, and wireless communication.
Dr. Zhen Peng received the B.S. degree in electrical engineering and information sci- ence from the University of Science and Technology of China, Hefei, China, in 2003, and the Ph.D. degree in electromagnetics and microwave engineering from the Chinese Academy of Science, Beijing, China, in 2008. From 2008 to 2013, he was with the ElectroScience Laboratory, The Ohio State University, Columbus, OH, USA, first as a Postdoctoral Fellow, from 2008 to 2009, and then as a Senior Research Associate,
from 2010 to 2013. From 2013 to 2019, he was an Assistant Professor with the Department of Electrical and Computer Engineering, The University of New Mexico, Albuquerque, NM, USA. He is currently an Associate Professor with the Department of Electrical and Computer Engineering (ECE ILLINOIS), University of Illinois at Urbana-Champaign, Champaign, IL, USA.
His research interests include computational, statistical, and applied electromagnetics. The goal is to simulate classical and quantum electrodynamic physics with intelligent algorithms on state-of-the-art computers, where virtual experiments can be performed for the prediction, discovery, and design of complex systems at unprecedented scales. His research work has an impact on both civilian and commercial engineering applications, including advanced antennas, radio frequency integrated circuits, electromagnetic interference and compatibility, signal and power integrity, and wireless communication.
Dr. Peng is a recipient of 2019 EPEPS Best Paper Award, 2019 IEEE EMC Symposium Best Paper Award, 2018 National Science Foundation CAREER Award, 2018 Best Transaction Paper Award - IEEE Transactions on Components, Packaging and Manufacturing Technology, 2018 The ICEAA - IEEE APWC Best Paper Award, 2017 IEEE Albuquerque Section Outstanding Young Engineer Award, 2016 UNM ECE Department's Distinguished Researcher Award, 2015 Applied Computational Electromagnetics Society (ACES) Early Career Award, 2014 IEEE Antenna and Propagation Sergei A. Schelkunoff Transactions Prize Paper Award, a recipient of 2014 Young Scientist Award of Union Radio-Scientifique Internationale (URSI) General Assembly and Scientific Symposium, 2013 Young Scientist Award of the International Union of Radio Science, Commission B, 2013 Young Scientist Award of International Symposium on Electromagnetic Theory, 2013 Young Scientist Award of Asia-Pacific Radio Science Conference, a candidate for 2012 P. W. King award of IEEE Transactions on Antennas and Propagation, the recipient of the Best Paper Award for 2011 from ElectroScience Lab, The Ohio State University, and a recipient of Young Science Award from International Symposium on Electromagnetic Theory (EMT-S 2010). 
Dr. Peng is a recipient of the 2022 Best Electromagnetics Paper Award at the 16th European Conference on Antennas and Propagation, 2021 Best Paper Award at 30th Conference on Electrical Performance of Electronic Packaging and Systems, 2019 Best Paper Award at IEEE Electromagnetic Compatibility (EMC) Symposium, 2019 Best Paper Award at 28th Conference on Electrical Performance of Electronic Packaging and Systems, 2018 National Science Foundation CAREER Award, 2018 Best Transaction Paper Award-IEEE Transactions on Components, Packaging and Manufacturing Technology, 2017 IEEE Albuquerque Section Outstanding Young Engineer Award, 2016 UNM Electrical and Computer Engineering Department’s Distinguished Researcher Award, 2015 Applied Computational Electromagnetics Society (ACES) Early Career Award, 2014 IEEE Antenna and Propagation Sergei A. Schelkunoff Transactions Prize Paper Award, a number of Young Scientist Awards, and the advisor of Best Student Paper Awards from various conferences.

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title: Research
permalink: /research/
cardTitle: Topics
cardDesc: We tackle a broad set of problems relating to electromagnetic phenomena, from classical extreme-scale modeling to electromagnetic information theory.
---
# Research Topics
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## Extreme-Scale Electromagnetic Modeling and Simulation in the Supercomputing Era
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
[Read More](/research/extreme-scale-electromagnetic-modeling)
![Motivation](/assets/images/research/Motivation.png)
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## Domain Decomposition Methodology for Solving Maxwell's Equations
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
[Read More](/research/domain-decomposition)
![DomainDecomposition](/assets/images/research/DDOverview.png)
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## First-principles Electromagnetic Field-based Millimeter-Wave Channel Models
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
[Read More](/research/first-principles-channel-model)
![DowntownAntenna](/assets/images/research/1010ABQDowntownAntenna.png)
<!--ITEM-->
## Physics-Oriented Statistical Wave Analysis Integrating Order and Chaos
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
[Read More](/research/physics-oriented-statistical-wave-analysis)
![CavityCase](/assets/images/research/ICCavityCase.png)
<!--ITEM-->
## Electromagnetic Information Theory for Wireless Communication
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
[Read More](/research/electromagnetic-information-theory)
![ProblemStatement](/assets/images/research/ProblemStatement.jpg){:class="markdown-img"}
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layout: post
title: Quantum Computing and Optimization in Smart Radio Environments
permalink: /research/Quantum-optimization-RIS/
---
# Quantum Computing and Optimization in Smart Radio Environments
##### Collaborator: Gabriele Gradoni@Surrey
With rapidly evolving quantum devices and materials, in the near future, there will likely be special-purpose quantum computers with hundreds of high-quality qubits and controllable nearest-neighbor couplings. A forward- thinking question is, how do we leverage “quantum advantage” and develop quantum algorithms for electromagnetic problems and wireless applications? In this section, we will discuss our recent studies of quantum computing algorithms and hybrid classical-quantum computing models for reconfigurable wireless environments.
The reconfigurable intelligent surface (RIS) is emerging as a key technology for the next generation of wireless networks. The general goal is to turn the wireless environment into a smart/reconfigurable space that plays an active role in the wireless communication performance. Going beyond 5G and entering 6G, it is envisaged that large-scale, distributed RIS devices may be deployed at the surface of interacting objects,
e.,g. wall, windows, and furniture, in the propagation channel. A joint optimization of wireless endpoints and distributed RISs would lead to a dynamically programmable and customized wireless environment, with a goal of providing enhanced coverage with high energy efficiency and supporting ultra-fast and seamless connectivity.
To harness the full potential of a RIS-enabled smart wireless environment, one needs to rapidly optimize the states of RIS with prescribed objective functions, e.g., beamforming, localization/focusing, and channel diversity. This constitutes a substantial computational task in both the physical and network layer of wireless communication. Furthermore, one assumption adopted in the wireless community is that the RISs are nearly passive due to minimal hardware complexity and power requirements. Namely, the RIS may not have the capability to sense the wireless channel and estimate directions of arrival/departure. The channel estimation cannot be implemented on the RIS side, but rather at wireless endpoints of the communication link. This makes the channel optimization of RIS-assisted networks very challenging.
The scientific contribution in this work is a physics-oriented, mathematically tractable computational framework for optimizing RIS configuration in complex radio environments. Such optimization is performed without the need to estimate the segmented channels that link the transmitter to the RIS and the RIS to the receiver. The new idea starts with expressing the power of end-to-end channel transfer function as an Ising Hamiltonian model. A hybrid classical-quantum computing model is proposed next to navigate the RIS configuration space and to rapidly optimize the RIS state in a multipath radio environment. Compared to the state-of-the-art solutions, we show that the Ising Hamiltonian model serves as a unified mathematical model describing wave physics in the RIS-assisted wireless network. By leveraging the computing power of quantum adiabatic evolution and mathematics of tensor contraction, the channel estimation and optimization can be completed in the order of milliseconds. The outcomes enable the possibility of ultrafast optimization adapting to dynamic wireless environments.
![QuantumRIS](/assets/images/research/Quantum-RIS.png){:class="markdown-img"}
We believe that the physics of complex systems fused with quantum computing will constitute a game changer in the modeling and design of large network of RIS devices cooperating in order to transform real-life propagation environments into a resource for future mobile networks, including SONs and cell-free networks.
### A basic introduction to quantum annealing for engineering metasurfaces:
#### C. Ross, G. Gradoni, Q. J. Lim, and Z. Peng, “Engineering reflective metasurfaces with Ising hamiltonian and quantum annealing,” IEEE Transactions on Antennas and Propagation, vol. 70, no. 4, pp. 2841–2854, 2022.
### A discussion of quantum-assisted combinatorial optimization for reconfigurable surfaces,:
#### Q. J. Lim, C. Ross, G. Gradoni, and Z. Peng, “Quantum-Assisted Combinatorial Optimization of Reconfigurable Intelligent Surfaces,” 16th European Conference on Antennas and Propagation, 27 March - 01 April, 2022 (Best Electromagnetics Paper Award).

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# Domain Decomposition Methodology for Solving Maxwell's Equations
In recent years, domain decomposition (DD) methods have enjoyed considerable success in solving large multi-scale EM problems. These methods feature divide-and-conquerin solution algorithms (applying the most suitable solution strategy to solve each sub-problem) and plug-in-play in software architectures (integrating individual EM solvers into a portable and extensible solution suite). They also result in highly efficient and naturally parallelizable algorithms on distributed memory many-core parallel computing systems. We have been investigating novel DD algorithms for differential equations, integral equations, transient EM analysis, and reduced order modeling. 
One basic research that we have conducted is the study of robust yet efficient ways for solving Maxwell Equations. The research, usually called computational electromagnetics (CEM), is highly mathematical and abstract in itself, and can be stated as one of the principal research topics in electromagnetic fields. The implication and impact of this research are astronomical. It is the heart of modern computer-aided engineering/computer-aided design (CAE/CAD) tools for advanced antennas, radio propagation, integrated circuits, EM interference and compatibility, signal and power integrity, and other applications in EM and microwave engineering.
Nowadays, ever-increasing fidelity and accuracy need for advanced EM applications have been pushing the problem sizes towards extreme scales. It puts a high premium on high-performance algorithms with optimal computational complexity. Moreover, increased demands are being placed on an integrated design and analysis environment, which requires new simulation tools to be well integrated into design processes.
The goal of this research is to investigate first-principles modeling and analysis tools for these extremely large, multi-scale problems. The emphasis is placed on advancing parallel algorithms that are provably scalable, and facilitating a design-through-analysis paradigm for emerging and future complex systems.
In recent years, domain decomposition (DD) methods have enjoyed considerable success in solving large multi-scale EM problems. These methods feature divide-and-conquerin solution algorithms (applying the most suitable solution strategy to solve each sub-problem) and plug-in-play in software architectures (integrating individual EM solvers into a portable and extensible solution suite). They also result in highly efficient and naturally parallelizable algorithms on distributed memory many-core parallel computing systems.
![DomainDecomposition](/assets/images/research/DDOverview.png){:class="markdown-img"}
The main innovations in computational algorithms are summarized as follows:
### Multi-resolution discontinuous Galerkin boundary element method (DG-BEM) [1–3].
The objective of this work is to allow the solution of integral equations using discontinuous trial and test functions without any consideration of continuity requirements across element’s boundaries. We can mix different types of elements and employ different order of basis functions within the same discretization. Built upon the DG-BEM, we investigate a rigorous, adaptive, and parallel coarse-graining method to reduce the computational complexity in the multi-scale computation. The work received 2014 IEEE Antenna and Propagation Sergei A. Schelkunoff Transactions Prize Paper Award.
#### [1] Z. Peng, K.-H. Lim, and J.-F. Lee, “A discontinuous Galerkin surface integral equation method for elec- tromagnetic wave scattering from nonpenetrable targets,” IEEE Trans. Antennas Propagat., vol. 61, no. 7, pp. 3617–3628, 2013.
#### [2] Z. Peng, R. Hiptmair, Y. Shao, and B. MacKie-Mason, “Domain decomposition preconditioning for surface integral equations in solving challenging electromagnetic scattering problems,” IEEE Trans. Antennas and Propagation, vol. 64, pp. 210–223, Jan 2016.
#### [3] H. Gao, Z. Peng, and X. Sheng, “A coarse-grained integral equation method for multiscale electromagnetic analysis,” IEEE Transactions on Antennas and Propagation, vol. 66, pp. 1607–1612, March 2018.
### Geometry-aware domain decomposition method (GA-DDM) [4–6].
The work can be viewed as a problem decomposition, how to take a complex, multi-scale EM problem and divide it up into sub-problems that can be solved independently and concurrently. Research outcomes lead to: (1) divide-and-conquer in solution algorithms (applying the most suitable solution strategy to solve each sub-problem); (2) plug- in-play in software architectures (integrating individual EM solvers into a portable and extensible solution suite); (3) highly efficient and naturally parallelizable algorithms on distributed memory many-core parallel computing systems. The work received 2018 Best Transaction Paper Award - IEEE Transactions on Components, Packaging and Manufacturing Technology.
#### [4] V. Dolean, M. J. Gander, S. Lanteri, J.-F. Lee, and Z. Peng, “Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell’s equations,” J. Comput. Phys., vol. 280, pp. 232–247, Jan. 2015.
#### [5] H. Gao, Z. Peng, and X. Q. Sheng, “A geometry-aware domain decomposition preconditioning for hybrid finite element-boundary integral method,” IEEE Transactions on Antennas and Propagation, vol. PP, no. 99, pp. 1–1, 2017.
#### [6] Z. Peng, Y. Shao, H. W. Gao, S. Wang, and S. Lin, “High-fidelity, high-performance computational algorithms for intrasystem electromagnetic interference analysis of IC and electronics,” IEEE Transactions on Components, Packaging and Manufacturing Technology, vol. PP, no. 99, pp. 1–16, 2017.
### Space-time parallel computation for Maxwell’s Equations [7-8].
A recent breakthrough in my research is the parallel-in-time computation for time-dependent EM wave problems. The objective is to leverage the emerging exascale high-performance computing (HPC) platforms to address the space-scale and time-scale challenges in extreme fidelity EM analysis. (Best Student Paper Award in 2018 ACES conference, Best Conference Paper Award at 2019 EPEPS conference)
#### [7] Shu Wang, Yang Shao, and Zhen Peng, “A Parallel-in-Space-and-Time Method for Transient Electromagnetic Problems,” IEEE Trans. Antennas Propag., vol. 67, no. 6, pp. 3961-3973, June 2019.
#### [8] Shu Wang and Zhen Peng, “A Novel Space-Time Building Block Methodology for Transient Electromagnetic Analysis,” 28th Conference on Electrical Performance of Electronic Packaging and Systems, Montreal, Quebec, Canada, October 2019.
### Multi-trace boundary integral equation method [9–11].
A novel multi-trace boundary IE formulation is investigated for the solution of the time-harmonic EM problems in large and deep cavities. The new formulation leads to a well-conditioned system equation, and it is immune from cavity resonances effects
#### [9] R. Hiptmair, C. Jerez-Hanckes, J.-F. Lee, and Z. Peng, “Domain decomposition for boundary integral equations via local multi-trace formulations,” in Domain Decomposition Methods in Science and Engineering XXI (J. Erhel, M. J. Gander, L. Halpern, G. Pichot, T. Sassi, and O. Widlund, eds.), vol. 98 of Lecture Notes in Computational Science and Engineering, pp. 43–57, Springer International Publishing, 2014.
#### [10] Z. Peng, K.-H. Lim, and J.-F. Lee, “A boundary integral equation domain decomposition method for electromagnetic scattering from large and deep cavities,” J. Comput. Phys., vol. 280, no. 1, pp. 626–642, 2015.
#### [11] Z. Peng, “A novel multitrace boundary integral equation formulation for electromagnetic cavity scattering problems,” IEEE Trans. Antennas Propagat., vol. 63, pp. 4446–4457, Oct 2015.
### DDM for reduced order model [12–13].
The proposed work starts with a stationary-variable domain decomposition, where the computational domain is decomposed into large fixed parts and small portions with local variations. Subsequently, we introduce a separable and compressible platform Green’s function at the outer surface of those variable subdomains in an upfront offline calculation. Once obtained, the online computational complexity does not depend on the size of the in situ platform. (Best Student Paper Award in 2019 ACES conference)
#### [12] S. Wang, B. MacKie-Mason and Z. Peng, "Platform-Aware In-Situ Antenna and Metamaterial Analysis and Design," 2019 International Applied Computational Electromagnetics Society Symposium (ACES), Miami, FL, USA, 2019, pp. 1-2.
#### [13] H. -W. Gao, S. Wang, X. -Q. Sheng and Z. Peng, "Rapid Numerical Analysis of Electrically Large PEC Platforms With Local Variations via a Platform Green’s Function Method," in IEEE Transactions on Antennas and Propagation, vol. 70, no. 10, pp. 9544-9556, Oct. 2022.

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title: Physics-Oriented Statistical Wave Analysis Integrating Order and Chaos
permalink: /research/physics-oriented-statistical-wave-analysis
permalink: /research/physics-oriented-statistical-wave-analysis/
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# Physics-Oriented Statistical Wave Analysis Integrating Order and Chaos
##### Collaborators: Thomas Antonsen@UMD, Edl Schamiloglu@UNM, Sameer Hemmady@UNM)
##### Collaborators: Thomas Antonsen@UMD, Steven Anlage@UMD, Zachary Drikas@NRL, Bisrat Addissie@NRL, Edl Schamiloglu@UNM, Sameer Hemmady@UNM
Even though we are seeking the highest possible fidelity, the computer representation will not be exactly the same compared to the real world. These uncertainties may arise from imprecise knowledge of the system, small differences in manufacturing, or numerical errors in the simulations. For integrable, regular wave systems, these small differences can be considered as local perturbations of the entire system. Hence, the numerical solution is still a very good approximation to the exact solution of the physical problem. However, the situation can be completely different in non-integrable, wave-chaotic systems. The EM wave solutions can be extremely sensitive to details and initial conditions. It makes the traditional first-principles deterministic approaches relevant only to a specific realization.
Wave chaos concerns solutions of wave equations, which in the semiclassical limit or short-wavelength limit can be described by chaotic ray trajectories. One representative class of wave-chaotic problems is confined EM systems, e.g. the antennas and electronics within large and complicated enclosures. In the high-frequency regime, the complex boundary of the enclosure can lead to high modal density and high modal overlap. Wave solutions inside these enclosures show strong fluctuations that are extremely sensitive to the exact geometry of the enclosure, the location of internal electronics, and the operating frequency. The extreme sensitivity and nonequilibrium nature make it a challenging task to analyze the uncertain behavior of the interactions. The fundamental difficulty of treating classically non-integrable systems has been precisely realized by the applied physics community. The chaotic dynamics have been discussed in the context of acoustics, electromagnetics, and quantum mechanics.
![CavityCase](/assets/images/research/SGF-Motivation.png){:class="markdown-img"}
This project investigates an innovative theoretical solution to Maxwell’s Equations in the wave chaotic (random, diffusive) media. The fundamental solution, named stochastic Green’s function, rigorously integrates the coherent and incoherent contributions within a unified compact form. Furthermore, by incorporating the component-, site-, system-specific information with the universal chaotic dynamics, the work accomplishes a comprehensive framework for thestatistical analysis and uncertainty quantification of complex wave systems. The advancements will achieve first-ever an imperative simulation-driven, design-under-chaos capability, and a virtual experimental facility statisticallyreplicating real-world wave propagation environments. 
![CavityCase](/assets/images/research/SGF-derivation.png){:class="markdown-img"}
Along the line of research, we have advanced the theory of SGF from the spatial domain (narrowband) to broadband frequency domain and delay-Doppler domain. The work accomplishes a physics-oriented, mathematically tractable statistical wave model with diverse applications, including the mode-stirred reverberation chamber (2019 IEEE EMC Symposium Best Paper Award), EMC/EMI of electronic systems (2021 EPEPS Best Paper Award), information transmission in wave-chaotic indoor channels, statistical design of time-reversal systems, wavefront shaping and focusing, sensing and targeting.
### Theory and Derivation of Scalar Stochastic Green's Function
#### [1] S. Lin, Z. Peng, and T. Antonsen, “A Stochastic Green’s Function for Solution of Wave Propagation in Wave-Chaotic Environments,” IEEE Trans. Antennas Propag., vol. 68, no. 5, pp. 3919-3933, May 2020.
### Theory and Derivation of Vector Dyadic Stochastic Green's Function
#### [2] S. Lin, S. Luo, S. Ma, J. Feng, Y. Shao, Z. B. Drikas, B. D. Addissie, S. M. Anlage, T. Antonsen, and Z. Peng, "Predicting Statistical Wave Physics in Complex Enclosures: A Stochastic Dyadic Green's Function Approach," in IEEE Transactions on Electromagnetic Compatibility, vol. 65, no. 2, pp. 436-453, April 2023.
### Investigation of the Space-time Stochastic Green's Function
#### [3] S. Lin and Z. Peng, “On the Statistical Analysis of Space-Time Wave Physics in Complex Enclosures,” 30th Conference on Electrical Performance of Electronic Packaging and Systems, October 2021.
### Investigation of the Broadband Stochastic Green's Function
#### [4] S. Lin and Z. Peng, “Statistical Analysis of Information Transmission in Ray-Chaotic Enclosures: A Stochastic Green’s Function Approach”, 2020 IEEE International Symposium on Antennas and Propagation, July 2020.
https://resourcecenter.ieeeaps.org/conferences/2020-ap-symposium/APS2020SYM0060.html
Even though we are seeking the highest possible fidelity, the computer representation will not be exactly the samecompared to the real world. These uncertainties may arise from imprecise knowledge of the system, small differencesin manufacturing, or numerical errors in the simulations. In integrable, regular wave systems, these small differencescan be considered as local perturbations of the entire system. Hence, the numerical solution is still a very goodapproximation to the exact solution of the physical problem. However, the situation can be completely different innon-integrable, wave-chaotic systems. The wave solutions can be extremely sensitive to details and initial conditions.It makes the traditional first-principles deterministic approaches relevant only to a specific realization.
This project investigates an innovative theoretical solution to Maxwell’s Equations in the wave chaotic (random,diffuse) media. The fundamental solution, named stochastic Green’s function, rigorously integrates the coherent andincoherent contributions within a unified compact form. Furthermore, by incorporating the component-, site-, system-specific information with the universal chaotic dynamics, the work accomplishes a comprehensive framework for thestatistical analysis and uncertainty quantification of complex wave systems. The advancements will achieve first-ever an imperative simulation-driven, design-under-chaos capability, and a virtual experimental facility statisticallyreplicating real-world wave propagation environments. 
![CavityCase](/assets/images/research/ICCavityCase.png){:class="markdown-img"}
![TwoAntennas1](/assets/images/research/TwoAntennas1.png){:class="markdown-img"}
![TwoAntennas2](/assets/images/research/TwoAntennas2.png){:class="markdown-img"}

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