Invited Talk: Hongxing Zheng, Hebei University of Technology

Special session 19: Time Domain and Frequency Domain Methods and Their Applications

Short Bio: 
Hong-Xing Zheng (M’01-SM’18) was born in Yinchuan, Ningxia Hui Autonomous Region, China. He received the B.S. degree in physics from Shaanxi Normal University, Xi’an, Shaanxi, China, in 1985, and the M.S. degree in physics and Ph.D. degree in electronics engineering from Xidian University, Xi’an, Shaanxi, China, in 1993 and 2002, respectively.
From 1985 to 1989 and 1993 to 1998, he was a Lecturer with the Ningxia Institute of Technology, Yinchuan, Ningxia Hui Autonomous Region, China. From 2001 to 2002 and 2004 to 2005, he was a Research Assistant and Research Fellow with the Department of Electronics Engineering, City University of Hong Kong, Kowloon, Hong Kong, respectively. In 2003, he was an Associate Professor with the College of Precision Instrument and Opto-Electronics Engineering, Tianjin University. He is currently a Professor with the School of Electronics and Information Engineering, Hebei University of Technology, Tianjin, China. He has authored six books and book chapters and over 400 journal papers and 100 conference papers. He holds 45 China patents issued in 2019. His recent research interests include modeling of microwave circuit and antenna and computational electromagnetics.
Dr. Zheng is a Senior Member of the Chinese Institute of Electronics (CIE). He was the recipient of the 2008 Young Scientists Awards presented by the Tianjin Municipality, China. He has been invited to give numerous invited talks and plenary speeches at various international conferences and forums. He is listed in Who’s Who in the World and in Who’s Who in the Science and Engineering in the World.

Title:  Spherical Truncation in Cartesian Coordinate System for the FDTD Solver

Abstract:
To improve the efficiency of numerical simulation in computational electrodynamics, a spherical-shaped boundary strategy for finite-difference time-domain (FDTD) method in Cartesian coordinate system with cubic cell is proposed, which has been implemented via making use of the impedance-matched layer and uniaxial perfectly matched layer. These boundaries are used for truncating the computational domain to absorb outward electromagnetic waves. A staircase approach is used to approximate the spherical-shaped boundary so that it is directly compatible with the commonly used Yee’s lattice. Most importantly, about a quarter grids are free from calculation when circular truncating boundary is used in two-dimensional case, and it can be reduced about a half compared to the conventional cubic boundary in three-dimensional simulation. Moreover, based on the proposed strategy, we can simplify the calculations and maintain the original target calculation unchanged. So that the computer simulation resource is saved significantly, and computational efficiency is enhanced a lot, compared to the conventional FDTD.
In this report, the convolutional perfectly matched layer has been optimized in non-physical division and enhanced weakly ability in absorbing evanescent wave. From the radiation simulation, we found that the wave profile only according to simulation time, which leads to spherical outline in three dimensional cases. We reconstruct regular cubic Yee cells in three-dimensional, and restricts computation domain in the spherical truncation boundary. This is an essentially efficient modeling strategy, which is suitable for the FDTD method in solving three dimensional problems. Several numerical experiments have been implemented to verify the practicability of the proposed boundary in two- and three-dimensional cases. Obtained results show this algorithm suitability, with higher efficiency than conventional cubic boundary.