The 2.5-D multidomain pseudospectral time-domain algorithm

A 2.5-D multidomain pseudospectral time-domain (PSTD) method with a suitable well-posed perfectly matched layer is developed as an accurate and flexible tool for the simulation of electromagnetic wave propagation and scattering in conductive and inhomogeneous media. This approach allows for an accurate treatment of curved geometries with a high efficiency. Numerical results show an excellent agreement with analytical solutions for lossy dielectric cylinders. The 2.5-D multidomain PSTD algorithm is applied to several scattering and waveguiding problems.

[1]  Qing Huo Liu,et al.  The PSTD algorithm: A time-domain method requiring only two cells per wavelength , 1997 .

[2]  Andrew F. Peterson,et al.  Relative accuracy of several finite-difference time-domain methods in two and three dimensions , 1993 .

[3]  Jan S. Hesthaven,et al.  Regular Article: Spectral Collocation Time-Domain Modeling of Diffractive Optical Elements , 1999 .

[4]  E. Turkel,et al.  Absorbing PML boundary layers for wave-like equations , 1998 .

[5]  M. Carpenter,et al.  Fourth-order 2N-storage Runge-Kutta schemes , 1994 .

[6]  Qing Huo Liu.  PML and PSTD algorithm for arbitrary lossy anisotropic media , 1999 .

[7]  K. Yee.  Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[8]  Qing Huo Liu,et al.  AN FDTD ALGORITHM WITH PERFECTLY MATCHED LAYERS FOR CONDUCTIVE MEDIA , 1997 .

[9]  Jan S. Hesthaven,et al.  Spectral Simulations of Electromagnetic Wave Scattering , 1997 .

[10]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[11]  Qing Huo Liu,et al.  Nonuniform Fast Cosine Transform and Chebyshev Pstd Algorithms , 2000 .

[12]  R. W. Zislkowski.  The design of Maxwellian absorbers for numerical boundary conditions and for practical applications using engineered artificial materials , 1997 .

[13]  C. Randall.  Multipole acoustic waveforms in nonaxisymmetric boreholes and formations , 1991 .

[14]  Jeffrey L. Young,et al.  Toward the construction of a fourth-order difference scheme for transient EM wave simulation: staggered grid approach , 1997 .

[15]  Fritz Arndt,et al.  Finite-Difference Analysis of Rectangular Dielectric Waveguide Structures , 1986 .

[16]  Qing Huo Liu,et al.  Large-scale simulations of electromagnetic and acoustic measurements using the pseudospectral time-domain (PSTD) algorithm , 1999, IEEE Trans. Geosci. Remote. Sens..

[17]  Qing Huo Liu,et al.  Computation of transient electromagnetic waves in inhomogeneous media , 1991 .

[18]  Qing Huo Liu,et al.  Multidomain pseudospectral time-domain simulations of scattering by objects buried in lossy media , 2002, IEEE Trans. Geosci. Remote. Sens..

[19]  T. A. Zang,et al.  Spectral methods for fluid dynamics , 1987 .

[20]  Qing Huo Liu,et al.  A well-posed PML absorbing boundary condition for lossy media , 2001, IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229).

[21]  Q.H. Liu,et al.  The pseudospectral time-domain (PSTD) method: a new algorithm for solutions of Maxwell's equations , 1997, IEEE Antennas and Propagation Society International Symposium 1997. Digest.

[22]  Jan S. Hesthaven,et al.  A pseudospectral method for time-domain computation of electromagnetic scattering by bodies of revolution , 1999 .

[23]  Melinda Piket-May,et al.  A modified FDTD (2, 4) scheme for modeling electrically large structures with high-phase accuracy , 1997 .

[24]  Q.H. Liu.  Finite-difference and pseudospectral time-domain methods for subsurface radar applications , 1997, IEEE Antennas and Propagation Society International Symposium 1997. Digest.

[25]  David Gottlieb,et al.  A Mathematical Analysis of the PML Method , 1997 .

[26]  W. J. Gordon,et al.  Transfinite element methods: Blending-function interpolation over arbitrary curved element domains , 1973 .

[27]  S. Gedney.  An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices , 1996 .