Hybrid Method Combining DGTD and TDIE for Wire Antenna-Dielectric Interaction

Authors

  • S. P. Gao Department of Electronics & Photonics Institute of High Performance Computing, 1 Fusionopolis Way, #16-16 Connexis, 138632, Singapore , College of Electronic and Information Engineering Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, People’s Republic of China
  • Y. L. Lu School of Electrical & Electrical Engineering Nanyang Technological University, 50 Nanyang Avenue, 639798, Singapore
  • Q. S. Cao College of Electronic and Information Engineering Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, People’s Republic of China

Keywords:

Electromagnetic coupling, hybrid solution methods, numerical analysis, time-domain analysis, wire antennas

Abstract

This paper presents a hybrid method that effectively combines two versatile numerical methods - the discontinuous Galerkin time domain (DGTD) method and the time domain integration method (TDIE). The hybrid method is highly applicable to coupling problems involving arbitrarily-shaped thin-wires and dielectric structures with inhomogeneous lossy materials. The original problem can be divided into two sub-regions which are analyzed using the DGTD and the TDIE methods, respectively, and their solutions are exchanged via the interface of the sub-regions by using Huygens’ equivalence principle. To improve the efficiency of the hybrid method, a revised Courant– Friedrichs–Lewy (CFL) factor for the DGTD method is proposed, which could effectively reduce computation time. To validate the hybrid method and the revised CFL factor, several numerical examples are presented, proving the proposed method a promising scheme.

Downloads

Download data is not yet available.

References

M. A. Mangoud, R. A. Abd-Alhameed, and P. S. Excell, “Simulation of human interaction with mobile telephones using hybrid techniques over coupled domains,” Microwave Theory and Techniques, IEEE Transactions on, vol. 48, pp. 2014-2021, 2000.

A. C. Cangellaris and D. B. Wright, “Analysis of the numerical error caused by the stair-stepped approximation of a conducting boundary in FDTD simulations of electromagnetic phenomena,” IEEE Transactions on Antennas and Propagation, vol. 39, pp. 1518-1525, 1991.

A. Rubio Bretones, R. Mittra, and R. Gómez Martín, “A hybrid technique combining the method of moments in the time domain and FDTD,” IEEE Microwave and Guided Wave Letters, vol. 8, pp. 281-283, 1998.

A. Monorchio, A. Rubio Bretones, R. Mittra, G. Manara, and R. Gómez Martín, “A hybrid timedomain technique that combines the finite element, finite difference and method of moment techniques to solve complex electromagnetic problems,” IEEE Transactions on Antennas and Propagation, vol. 52, pp. 2666-2674, 2004.

J. S. Hesthaven and T. Warburton, “Nodal highorder methods on unstructured grids, I. timedomain solution of Maxwell’s equations,” Journal of Computational Physics, vol. 181, pp. 186-221, 2002.

S. D. Gedney, C. Luo, J. A. Roden, R. D. Crawford, B. Guernsey, J. A. Miller, T. Kramer, and E. W. Lucas, “The discontinuous Galerkin finite-element time-domain method solution of Maxwell’s equations,” Applied Computational Electromagnetics Society Journal, vol. 24, pp. 129-142, 2009.

R. J. LeVeque, Finite Volume Methods for Hyperbolic Problems, Cambridge University Press, 2002.

S. P. Gao, Q. S. Cao, J. Ding, M. Zhu, and Y. L. Lu, “A hybrid DGTD-TDIE method for solving complex electromagnetic problems,” Journal of Electromagnetic Waves and Applications, vol. 27, pp. 1017-1027, May 2013.

J. Niegemann and K. Busch, “TimeǦstepping and convergence characteristics of the discontinuous Galerkin timeǦdomain approach for the Maxwell equations,” in AIP Conference Proceedings, p. 22, 2009.

Downloads

Published

2021-08-22

How to Cite

[1]
S. P. . Gao, Y. L. . Lu, and Q. S. . Cao, “Hybrid Method Combining DGTD and TDIE for Wire Antenna-Dielectric Interaction”, ACES Journal, vol. 30, no. 06, pp. 677–681, Aug. 2021.

Issue

Section

General Submission