A modified FDTD (2, 4) scheme for modeling electrically large structures with high-phase accuracy

A new fourth-order finite-difference time-domain (FDTD) scheme has been developed that exhibits extremely low-phase errors at low-grid resolutions compared to the conventional FDTD scheme. Moreover, this new scheme is capable of combining with the standard Yee (1966) scheme to produce a stable hybrid algorithm. The problem of wave propagation through a building is simulated using this new hybrid algorithm to demonstrate the large savings in computing resources it could afford. With this new development, the FDTD method can now be used to successfully model structures that are thousands of wavelengths large, using the present day computer technology.

[1]  Allen Taflove,et al.  Finite-difference time-domain modeling of curved surfaces (EM scattering) , 1992 .

[2]  D. Katz,et al.  Validation and extension to three dimensions of the Berenger PML absorbing boundary condition for FD-TD meshes , 1994, IEEE Microwave and Guided Wave Letters.

[3]  G. Mur Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations , 1981, IEEE Transactions on Electromagnetic Compatibility.

[4]  A. Taflove,et al.  Numerical Solution of Steady-State Electromagnetic Scattering Problems Using the Time-Dependent Maxwell's Equations , 1975 .

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

[6]  R. Sorrentino,et al.  A simple way to model curved metal boundaries in FDTD algorithm avoiding staircase approximation , 1995 .

[7]  W. Tabbara,et al.  A fourth order scheme for the FDTD algorithm applied to Maxwell's equations , 1992, IEEE Antennas and Propagation Society International Symposium 1992 Digest.

[8]  D. Merewether,et al.  On Implementing a Numeric Huygen's Source Scheme in a Finite Difference Program to Illuminate Scattering Bodies , 1980, IEEE Transactions on Nuclear Science.

[9]  Guy R. L. Sohie,et al.  A digital signal processor with IEEE floating-point arithmetic , 1988, IEEE Micro.

[10]  A. Bayliss,et al.  On accuracy conditions for the numerical computation of waves , 1985 .

[11]  P. A. Tirkas,et al.  Modeling of thin dielectric structures using the finite-difference time-domain technique , 1991 .

[12]  Robert J. Lee,et al.  On the Accuracy of Numerical Wave Simulations Based on Finite Methods , 1992 .

[13]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[14]  W. Tabbara,et al.  An absorbing boundary condition for the fourth order FDTD scheme , 1992, IEEE Antennas and Propagation Society International Symposium 1992 Digest.

[15]  Constantine A. Balanis,et al.  Contour path FDTD method for analysis of pyramidal horns with composite inner E-plane walls , 1994 .

[16]  Wolfgang J. R. Hoefer,et al.  Numerical dispersion characteristics and stability factor for the TD-FD method , 1990 .

[17]  A. Hippel,et al.  Dielectric Materials and Applications , 1995 .

[18]  Richard Holland,et al.  Finite-Difference Analysis of EMP Coupling to Thin Struts and Wires , 1981, IEEE Transactions on Electromagnetic Compatibility.

[19]  J. J. Boonzaaier,et al.  Finite-difference time-domain field approximations for thin wires with a lossy coating , 1994 .

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

[21]  Peter G. Petropoulos,et al.  Phase error control for FD-TD methods of second and fourth order accuracy , 1994 .

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