Discontinuous Galerkin Time Domain Method with Dispersive Modified Debye Model and its Application to the Analysis of Optical Frequency Selective Surfaces

Authors

  • Wending Mai The Pennsylvania State University, University Park, PA 16802 USA
  • Benjamin Zerbe The Pennsylvania State University, University Park, PA 16802 USA
  • Douglas H. Werner The Pennsylvania State University, University Park, PA 16802 USA

Keywords:

Auxiliary Differential Equation (ADE) method, Discontinuous Galerkin Time Domain (DGTD), Frequency Selective Surface (FSS), Modified Debye Model (MDM), prism elements

Abstract

We develop a discontinuous Galerkin time domain (DGTD) algorithm with an experimentally validated modified Debye model (MDM) to take metal dispersion into consideration. The MDM equation is coupled with Maxwell’s equations and solved together through the auxiliary differential equation (ADE) method. A Runge-Kutta time-stepping scheme is proposed to update the semi-discrete transformed Maxwell’s equations and ADEs with high order accuracy. Then we employ the proposed algorithm to analyze an infinite doubly periodic frequency selective surface (FSS) operating in the optical regime that exhibits transmission enhancement due to the surface plasmatic effect. The accuracy and the efficiency enhancements are validated through a comparison with commercial simulation software. This work represents the first integration of MDM with DGTD, which enables the DGTD algorithm to efficiently analyze metallic structures in the optical regime.

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Author Biographies

Wending Mai, The Pennsylvania State University, University Park, PA 16802 USA

Wending Mai received the B.S. degree in Electronic Information Science and Technology, M.S. degree in Radio Physics, and Ph.D. degree in Electromagnetic and Microwave Technology from the University of Electronic Science and Technology of China, Chengdu, China, in 2007, 2010, and 2019 respectively. In 2007, he was a Student Researcher in the Lenovo Research Institute, Chengdu. From 2010 to 2012, he was a Marketing Engineer in Texas Instruments Incorporated, Dallas, TX, USA. From 2013 to 2015, he was an Assistant Professor in Xichang College. From 2017 and 2019, he has been a Visiting Scholar and a Postdoc in the Computational Electromagnetics and Antennas Research Laboratory, The Pennsylvania State University, University Park, PA, USA. His current research interests include knot electromagnetics, computational electromagnetics, metamaterials and microwave imaging. Mai is a Senior Member of the Institute of Electrical and Electronics Engineers (IEEE), a Member of the Applied Computational Electromagnetics Society (ACES), and a Member of the Institute of Physics (IOP). He is the recipient of the Excellent Student Paper Award presented by the IEEE Chengdu Section in 2017, and the Best Paper Award (ranked first)

Benjamin Zerbe, The Pennsylvania State University, University Park, PA 16802 USA

Benjamin Zerbe graduated from Grove City College in 2017 with a bachelor’s degree in Applied Physics and Computer Engineering and a minor in Computer Science. While there, he engaged in nanofabrication and Casimir-Polder effect research under Dr. Jeffrey Wolinski. After graduation, he joined E x H, Inc. and worked on the GEMSIF electromagnetics design suite and its various solvers and optimization algorithms. He joined CEARL in 2020 and is currently working towards his Ph.D. in Electrical Engineering under the guidance of Prof. Douglas H. Werner. His research interests include computational electromagnetics, computational physics, machine learning, metamaterials, optimization algorithms, and antenna design.

Douglas H. Werner, The Pennsylvania State University, University Park, PA 16802 USA

Douglas H. Werner received the B.S., M.S., and Ph.D. degrees in Electrical Engineering and the M.A. degree in Mathematics from The Pennsylvania State University (Penn State), University Park, PA, USA, in 1983, 1985, 1989, and 1986, respectively. He holds the John L. and Genevieve H. McCain Chair Professorship in the Department of Electrical Engineering, Penn State. He is the Director of the Computational Electromagnetics and Antennas Research Laboratory (CEARL: http://cearl.ee.psu.edu/) and a faculty member of the Materials Research Institute (MRI), Penn State. He holds 20 patents, has published over 900 technical articles and proceedings articles, and has authored 30 book chapters MAI, ZERBE, WERNER: DISCONTINUOUS GALERKIN TIME DOMAIN METHOD 33 with several additional chapters currently in preparation. He has published several books, including Frontiers in Electromagnetics (Piscataway, NJ, USA: IEEE Press, 2000), Genetic Algorithms in Electromagnetics (Hoboken, NJ, USA: Wiley/IEEE, 2007), Transformation Electromagnetics and Metamaterials: Fundamental Principles and Applications (London, U.K.: Springer, 2014), Electromagnetics of Body Area Networks: Antennas, Propagation, and RF Systems (Hoboken: Wiley/IEEE, 2016), and Broadband Metamaterials in Electromagnetics: Technology and Applications (Pan Stanford Publishing, 2017). He has also contributed chapters for several books, including Electromagnetic Optimization by Genetic Algorithms (New York: Wiley Interscience, 1999), Soft Computing in Communications (New York: Springer, 2004), Antenna Engineering Handbook (New York: McGraw-Hill, 2007), Frontiers in Antennas: Next Generation Design and Engineering (New York: McGraw-Hill, 2011), Numerical Methods for Metamaterial Design (New York: Springer, 2013), Computational Electromagnetics (New York: Springer, 2014), Graphene Science Handbook: Nanostructure and Atomic Arrangement (Abingdon, Oxfordshire, U.K.: CRC Press, 2016), Handbook of Antenna Technologies (New York: Springer, 2016), and Transformation Wave Physics: Electromagnetics, Elastodynamics and Thermodynamics (Boca Raton, FL, USA: CRC Press, 2016). His research interests include computational electromagnetics (MoM, FEM, FEBI, FDTD, DGTD, CBFM, RCWA, GO, GTD/UTD), antenna theory and design, phased arrays (including ultrawideband arrays), microwave devices, wireless and personal communication systems (including body-area networks), wearable and e-textile antennas, RFID tag antennas, conformal antennas, reconfigurable antennas, frequency-selective surfaces, electromagnetic wave interactions with complex media, metamaterials, electromagnetic bandgap materials, zero and negative index materials, transformation optics, nanoscale electromagnetics (including nanoantennas), fractal and knot electrodynamics, and nature-inspired optimization techniques (genetic algorithms, clonal selection algorithms, particle swarm, wind-driven optimization, and various other evolutionary programming schemes). Werner is a fellow of the IEEE, IET, OSA, ACES, and the PIERS Electromagnetics Academy. He is also a Senior Member of the National Academy of Inventors (NAI) and SPIE. He was a recipient of the 1993 Applied Computational Electromagnetics Society (ACES) Best Paper Award, the 1993 International Union of Radio Science (URSI) Young Scientist Award, and the Pennsylvania State University Applied Research Laboratory Outstanding Publication Award in 1994. He has coauthored (with one of his graduate students) an article published in the IEEE Transactions on Antennas and Propagation which received the 2006 R. W. P. King Award. He also received the inaugural IEEE Antennas and Propagation Society Edward E. Altshuler Prize Paper Award, the Harold A. Wheeler Applications Prize Paper Award in 2011 and 2014, respectively, the DoD Ordnance Technology Consortium (DOTC) Outstanding Technical Achievement Award in 2018, the 2015 ACES Technical Achievement Award, the 2019 ACES Computational Electromagnetics Award, the IEEE Antennas and Propagation Society 2019 Chen-To Tai Distinguished Educator Award, the College of Engineering PSES Outstanding Research Award, the Outstanding Teaching Award in March 2000 and March 2002, respectively, and the PSES Premier Research Award in 2009. He was also presented with the IEEE Central Pennsylvania Section Millennium Medal. He is a former Associate Editor of Radio Science, a former Editor of the IEEE Antennas and Propagation Magazine, an Editorial Board Member of Scientific Reports (a Nature subjournal), an Editorial Board Member of EPJ Applied Metamaterials, an Editor of the IEEE Press Series on Electromagnetic Wave Theory and Applications, and a member of URSI Commissions B and G, Eta Kappa Nu, Tau Beta Pi, and Sigma Xi.

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Published

2021-01-08

How to Cite

[1]
Wending Mai, Benjamin Zerbe, and Douglas H. Werner, “Discontinuous Galerkin Time Domain Method with Dispersive Modified Debye Model and its Application to the Analysis of Optical Frequency Selective Surfaces”, ACES Journal, vol. 36, no. 1, pp. 27–34, Jan. 2021.

Issue

2021: Vol 36 Iss 1

Section

Articles