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The PSTD algorithm: A time‐domain method requiring only two cells per wavelength
Author(s) -
Liu Q. H.
Publication year - 1997
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(19970620)15:3<158::aid-mop11>3.0.co;2-3
Subject(s) - finite difference time domain method , fast fourier transform , fourier transform , wavelength , algorithm , time domain , microwave , mathematics , perfectly matched layer , finite difference method , optics , physics , computer science , mathematical analysis , telecommunications , computer vision
A pseudospectral time‐domain (PSTD) method is developed for solutions of Maxwell's equations. It uses the fast Fourier transform (FFT), instead of finite differences on conventional finite‐difference–time‐domain (FDTD) methods, to represent spatial derivatives. Because the Fourier transform has an infinite order of accuracy, only two cells per wavelength are required, compared to 8–16 cells per wavelength required by the FDTD method for the same accuracy. The wraparound effect, a major limitation caused by the periodicity assumed in the FFT, is removed by using Berenger's perfectly matched layers. The PSTD method is a factor of 4 D –8 D more efficient than the FDTD methods (D is the dimensionality). © 1997 John Wiley & Sons, Inc. Microwave Opt Technol Lett 15: 158–165, 1997.