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THE PSTD ALGORITHM: A TIME-DOMAIN METHOD REQUIRING ONLY TWO CELLS PER WAVELENGTH. (R825225)
Citation:
Liu, Q. H. THE PSTD ALGORITHM: A TIME-DOMAIN METHOD REQUIRING ONLY TWO CELLS PER WAVELENGTH. (R825225). GEOPHYSICS. John Wiley and Sons Ltd, New York, 15(3):158-165, (1997).
Description:
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 4D-8D more efficient than the FDTD methods (D is the dimensionality).