A Novel WCS-SFDTD Method for Solving Oblique Incident Wave on Periodic Structures

Authors

  • Y.-F. Mao China Satellite Maritime Tracking and Control Department, Jiangyin, 2144000, China
  • B. Chen National Key Laboratory on Electromagnetic Environment and Electro-optical Engineering PLA University of Science and Technology, Nanjing, 210007, China
  • X.-X. Yin China Satellite Maritime Tracking and Control Department, Jiangyin, 2144000, China
  • J. Chen China Satellite Maritime Tracking and Control Department, Jiangyin, 2144000, China

Keywords:

Finite-difference time-domain (FDTD), oblique incident, periodic structure, weakly conditionally stable

Abstract

In this paper, a novel weakly conditionally stable spectral finite-difference timedomain method is proposed to solve oblique incident wave on periodic structures, namely NWCS-SFDTD. Because the stability condition is determined only by one space discretization, this new method is extremely useful for periodic problems with very fine structures in one or two directions. By using the constant transverse wavenumber (CTW) wave, the fields have no delay in the transverse plane, as a result, the periodic boundary condition (PBC) can be implemented easily for oblique incident wave. Compared with the alternating-direction-implicit SFDTD (ADISFDTD) method this NWCS-SFDTD method has higher computational efficiency and better accuracy, especially for larger time-step size case. At each time step, it only needs to solve four implicit equations and four explicit equations, which is six implicit equations and six explicit equations in the ADI-SFDTD method. So while maintaining the same size of the time-step, the CPU time for this method can be reduced to about two-thirds of that for the ADI-SFDTD method. Numerical examples are presented to demonstrate the efficiency and accuracy of the proposed algorithm. To reduce the numerical dispersion error, the optimized procedure is applied.

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References

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Published

2021-09-07

How to Cite

[1]
Y.-F. . Mao, B. . Chen, X.-X. . Yin, and J. . Chen, “A Novel WCS-SFDTD Method for Solving Oblique Incident Wave on Periodic Structures”, ACES Journal, vol. 29, no. 01, pp. 15–22, Sep. 2021.

Issue

2014: Vol 29 Iss 1

Section

Articles