Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations

Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations

Year:    2021

Author:    Maninder Sarai, Dong Liang

International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 1 : pp. 79–99

Abstract

In the paper, an even-odd cycled high-order splitting finite difference time domain scheme for Maxwell's equations in two dimensions is developed. The scheme uses fourth order spatial difference operators and even-odd time step technique to make it more accurate in both space and time. The scheme is energy-conserved, unconditionally stable and efficient in computation. We analyze in detail the stability, dispersion and phase error for the scheme. We prove that the scheme is energy conservative. Numerical experiments show numerically the energy conservation, high accuracy, and the divergence free accuracy. Furthermore, the developed scheme is applied to compute of the grounded coplanar waveguides.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2021-IJNAM-18622

International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 1 : pp. 79–99

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Maxwell's Equations even-odd cycled high order in time dispersion analysis energy conservation grounded coplanar waveguide.

Author Details

Maninder Sarai

Dong Liang