ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems

ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems

Year:    2016

Communications in Computational Physics, Vol. 19 (2016), Iss. 1 : pp. 94–123

Abstract

An efficient and accurate numerical scheme is proposed for solving the transverse electric (TE) mode electromagnetic (EM) propagation problem in two-dimensional earth. The scheme is based on the alternating direction finite-difference time-domain (ADI-FDTD) method. Unlike the conventional upward continuation approach for the earth-air interface, an integral formulation for the interface boundary is developed and it is effectively incorporated to the ADI solver. Stability and convergence analysis together with an error estimate are presented. Numerical simulations are carried out to validate the proposed method, and the advantage of the present method over the popular Du-Fort-Frankel scheme is clearly demonstrated. Examples of the electromagnetic field propagation in the ground with anomaly further verify the effectiveness of the proposed scheme.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.160914.270315a

Communications in Computational Physics, Vol. 19 (2016), Iss. 1 : pp. 94–123

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    30

Keywords:   

  1. Numerical analysis of a leapfrog ADI–FDTD method for Maxwell’s equations in lossy media

    Huang, Yunqing | Chen, Meng | Li, Jichun | Lin, Yanping

    Computers & Mathematics with Applications, Vol. 76 (2018), Iss. 4 P.938

    https://doi.org/10.1016/j.camwa.2018.05.032 [Citations: 26]
  2. An unconditionally stable modified leapfrog method for Maxwell's equation in Kerr-type nonlinear media

    Chen, Meng | Gao, Rong | Kong, Linghua

    Computers & Mathematics with Applications, Vol. 159 (2024), Iss. P.186

    https://doi.org/10.1016/j.camwa.2024.02.014 [Citations: 1]
  3. Energy-Conserved Splitting Multidomain Legendre-Tau Spectral Method for Two Dimensional Maxwell’s Equations

    Niu, Cuixia | Ma, Heping | Liang, Dong

    Journal of Scientific Computing, Vol. 90 (2022), Iss. 2

    https://doi.org/10.1007/s10915-021-01744-0 [Citations: 2]
  4. 3-D time-domain electromagnetic modeling based on multi-resolution grid with application to geomagnetically induced currents

    Gao, Jingyu | Smirnov, Maxim | Smirnova, Maria | Egbert, Gary

    Physics of the Earth and Planetary Interiors, Vol. 312 (2021), Iss. P.106651

    https://doi.org/10.1016/j.pepi.2021.106651 [Citations: 6]