Quantifying Sub-gridding Errors in Standard and Hybrid Higher Order 2D FDTD Simulations

Authors

  • Madison Le Electrical Engineering Department Colorado School of Mines Golden, USA
  • Mohammed Hadi Electrical Engineering Department Colorado School of Mines Golden, USA
  • Atef Elsherbeni Electrical Engineering Department Colorado School of Mines Golden, USA

Keywords:

Finite-difference time-domain method, high order FDTD, numerical error analysis, sub-gridding

Abstract

Sub-gridding errors for a 2D Finite-Difference Time-Domain (FDTD) simulation are compared for both the standard FDTD and Hybrid higher order FDTD cases. Subgridding contrast ratios of 1:3, 1:9, 1:15, and 1:27 are considered and analyzed. A correlation is seen between the increase of contrast ratio with the increase of sub-gridding errors for both standard and hybrid cases. However, a trend of errors reduction when using hybrid formulations over standard formulations is apparent for each contrast ratio.

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References

A. Z. Elsherbeni and V. Demir, The Finite-Difference Time-Domain Method for Electromagnetics with MATLAB® Simulations, 2nd edition, Edison, New Jersey: SciTech Publishing, 2015.

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M. Le, M. Hadi, and A. Elsherbeni, “Quantifying Sub-gridding Errors when Modeling Multiscale Structures with FDTD,” 2019 International Applied Computational Electromagnetics Society (ACES), Miami, FL, USA, pp. 1-2, 2019.

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Published

2020-11-07

How to Cite

[1]
Madison Le, Mohammed Hadi, and Atef Elsherbeni, “Quantifying Sub-gridding Errors in Standard and Hybrid Higher Order 2D FDTD Simulations”, ACES Journal, vol. 35, no. 11, pp. 1428–1429, Nov. 2020.

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General Submission