“A Novel Meshless Method for Solving Inhomogeneous and Anisotropic Electromagnetic Problems”, presented by the IEEE Distinguished Lecturer, Professor Meisong Tong, on Friday, Dec. 04, 9 AM ET. 

Abstract: Volume integral equations (VIEs) are indispensable for solving inhomogeneous and/or anisotropic electromagnetic (EM) problems by integral equation approach. The solution of VIEs strongly relies on the appropriate discretization of volume integral domains, and tetrahedral discretization is usually preferred for arbitrarily-shaped geometries. Unlike discretizing a surface domain, the discretization of a volume domain could be very difficult in practice and special commercial software is needed in general even for a simple and regular geometry. To reduce the cost of discretizing volume domains, especially remove the constraint of mesh conformity required by the traditional method of moments (MoM), we propose a novel meshless method for solving the VIEs recently. The method is based on the transformation of volume integrals into boundary or surface integrals through the Green–Gauss theorem when integral kernels are regularized by excluding a small cylinder or cube enclosing an observation node. The original integral domain represented by the object is also expanded to a cylindrical or cubic domain circumscribing the object to facilitate the evaluation of boundary integrals. The singular integrals over the small cylinder or cube are specially handled with singularity subtraction techniques. Numerical examples for solving inhomogeneous and anisotropic EM problems are presented to illustrate the method and good results can be observed.

Bio: Meisong Tong received the B.S. and M.S. Degrees from Huazhong University of Science and Technology, Wuhan, China, respectively, and Ph.D. degree from Arizona State University, Tempe, Arizona, USA, all in electrical engineering. He is currently the Distinguished Professor and Head of Department of Electronic Science and Technology, and Vice Dean of College of Microelectronics, Tongji University, Shanghai, China. He has also held an adjunct professorship at the University of Illinois at Urbana-Champaign, Urbana, Illinois, USA, and an honorary professorship at the University of Hong Kong, China. He has published more than 400 papers in refereed journals and conference proceedings and co-authored six books or book chapters. His research interests include electromagnetic field theory, antenna theory and design, simulation and design of RF/microwave circuits and devices, interconnect and packaging analysis, inverse electromagnetic scattering for imaging, and computational electromagnetics. In 2018, he was selected as the Distinguished Lecturer (DL) of IEEE Antennas and Propagation Society for 2019-2021.