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Volume 18, Issue 1
Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations

Maninder Sarai & Dong Liang

Int. J. Numer. Anal. Mod., 18 (2021), pp. 79-99.

Published online: 2021-02

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  • 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.

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-18-79, author = {Sarai , Maninder and Liang , Dong}, title = {Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2021}, volume = {18}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/18622.html} }
TY - JOUR T1 - Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations AU - Sarai , Maninder AU - Liang , Dong JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 79 EP - 99 PY - 2021 DA - 2021/02 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/18622.html KW - Maxwell's Equations, even-odd cycled, high order in time, dispersion analysis, energy conservation, grounded coplanar waveguide. AB -

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.

Sarai , Maninder and Liang , Dong. (2021). Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations. International Journal of Numerical Analysis and Modeling. 18 (1). 79-99. doi:
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