A Full-Spectrum Numerical-Dispersion Compensation Technique for the Pseudospectral Time-Domain Method

In the standard pseudospectral time-domain (PSTD) method, the approximation of temporal derivatives based on the central difference formula is only of second-order accuracy, which results in large numerical dispersion errors when the simulated structures are of electrically large size. In this lette...

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Bibliographic Details
Published in:IEEE antennas and wireless propagation letters 2012, Vol.11, p.212-215
Main Authors: Zhili Lin, Yudong Jia, Pan Ou, Chunxi Zhang
Format: Article
Language:English
Subjects:
Accuracy
Dispersion
Finite impulse response digital filtering
Mathematical model
Media
numerical dispersion
Numerical models
pseudospectral time-domain (PSTD)
Time domain analysis
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Summary:In the standard pseudospectral time-domain (PSTD) method, the approximation of temporal derivatives based on the central difference formula is only of second-order accuracy, which results in large numerical dispersion errors when the simulated structures are of electrically large size. In this letter, a numerical technique according to the principle of finite impulse response digital filtering is applied to reduce the errors by numerically modifying the material parameters, and therefore the updating equations, for the constitutive relations of arbitrarily materials. It is not only shown to be simple and stable, but also efficient in the reduction of numerical dispersion errors as demonstrated by the results obtained from both the theoretical derivation and the PSTD simulations of numerical examples.
ISSN:1536-1225
1548-5757
DOI:10.1109/LAWP.2012.2187874