The PSTD algorithm: A time-domain method requiring only two cells per wavelength

Microwave and Optical Technology Letters

Volumn 15, Issue 3, 1997, Pages 158-165

  Liu, Q H ^a  

^a New Mexico State University   (United States)

Author keywords

Conductive medium; Finite difference time domain (FDTD) method; Inhomogeneous medium; Perfectly matched layers (PML); Pseudospectral time domain (PSTD) method; Transient wave scattering

Indexed keywords

ALGORITHMS; CONDUCTIVE MATERIALS; ELECTROMAGNETIC WAVE SCATTERING; FAST FOURIER TRANSFORMS; FINITE DIFFERENCE METHOD; MAXWELL EQUATIONS; TIME DOMAIN ANALYSIS;

INHOMOGENEOUS MEDIUM; PERFECTLY MATCHED LAYERS (PML); PSEUDOSPECTRAL TIME DOMAIN (PSTD) METHOD;

ELECTROMAGNETIC WAVE PROPAGATION;

EID: 0031164957     PISSN: 08952477     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2760(19970620)15:3<158::AID-MOP11>3.0.CO;2-3     Document Type: Article

References (13)

1. K. S. Yee, "Numerical Solution of Initial Boundary Value Problems Involving Maxwell's Equations in Isotropic Media," IEEE Trans. Antennas Propagat., Vol. AP-14, 1966, pp. 302-307.
2. N. N. Bojarski, "The k-Space Formulation of the Scattering Problem in the Time Domain," J. Acoust. Soc. Am., Vol. 72, 1982, pp. 570-584.
3. Q. H. Liu, "Transient Electromagnetic Modeling with the Generalized k-Space (GKS) Method," Microwave Opt. Technol. Lett., Vol. 7, No. 18, 1994, pp. 842-848.
4. Q. H. Liu, "Generalization of the k-Space Formulation to Elastodynamic Scattering Problems," J. Acoust. Soc. Am., Vol. 97, No. 3, 1995, pp. 1373-1379.
5. H.-O. Kreiss and J. Oliger, "Comparison of Accurate Methods for the Integration of Hyperbolic Equations," Tellus, Vol. 24, 1972, pp. 199-215.
6. S. A. Orszag, "Comparison of Pseudospectral and Spectral Approximation," Stud. Appl. Math., Vol. 51, 1972, pp. 253-259.
7. B. Fornberg, "On a Fourier Method for the Integration of Hyperbolic Equations," Soc. Industr. Appl. Math., J. Numer. Anal., Vol. 12, 1975, pp. 509-528.
8. D. Kosloff, and E. Baysal, "Forward Modeling by a Fourier Method," Geophysics, Vol. 47, 1982, pp. 1402-1412.
9. J.-P. Berenger, "A Perfectly Matched Layer for the Absorption of Electromagnetic Waves," J. Comput. Phys., Vol. 114, 1994, pp. 185-200.
10. D. S. Katz, E. T. Thiele, and A. Taflove, "Validation and Extension to Three Dimensions of the Berenger PML Absorbing Boundary Condition for FD-TD Meshes," IEEE Microwave Guided Wave Lett., Vol. MGW-4, Aug. 1994, pp. 268-270.
11. W. C. Chew and W. H. Weedon, "A 3D Perfectly Matched Medium from Modified Maxwell's Equations with Stretched Coordinates," Microwave Opt. Technol. Lett., Vol. 7, 1994, pp. 599-604.
12. Q. H. Liu, "A Spectral-Domain Method with Perfectly Matched Layers for Time-Domain Solutions of Maxwell's Equations," 1996 URSI Meeting, Baltimore, MD, July 1996.
13. Q. H. Liu, "An FDTD Algorithm with Perfectly Matched Layers for Conductive Media," Microwave Opt. Technol. Lett., Vol. 14, No. 2, 1997, pp. 134-137.