The Finite-Difference Time-Domain (FD-TD) Method for Electromagnetic Scattering and Interaction Problems

This paper summarizes the formulation and recent applications of the finite-difference time-domain (FD-TD) method for numerical modeling of electromagnetic scattering and interaction problems. One of the goals of this paper is to demonstrate that recent advances in FD-TD modeling concepts and software implementation, combined with advances in computer technology, have expanded the scope, accuracy, and speed of FD-TD modeling to the point where it may be the preferred choice for structures that cannot be easily treated by conventional integral equation and asymptotic approaches. As a class, such structures are electrically large, and have complex shapes, material compositions, apertures, and interior cavities. The discussion is highlighted by a succinct review of recent FD-TD modeling validations and research frontiers in radar cross section, coupling to wires and wire bundles in free space and cavities, scattering from surfaces in relativistic motion, inverse scattering, supercomputer and mini-supercomput...

[1]  A. Majda,et al.  Absorbing boundary conditions for the numerical simulation of waves , 1977 .

[2]  Karl Kunz,et al.  A Three-Dimensional Finite-Difference Solution of the External Response of an Aircraft to a Complex Transient EM Environment: Part I-The Method and Its Implementation , 1978, IEEE Transactions on Electromagnetic Compatibility.

[3]  C. Morawetz,et al.  Solving the Helmholtz Equation for Exterior Problems with Variable Index of Refraction , 1980 .

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

[5]  Allen Taflove,et al.  Validation of FD-TD modeling of the radar cross section of three-dimensional structures spanning up to nine wavelengths , 1985 .

[6]  Allen Taflove,et al.  A Novel Method to Analyze Electromagnetic Scattering of Complex Objects , 1982, IEEE Transactions on Electromagnetic Compatibility.

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

[8]  A. Taflove,et al.  Computation of the Electromagnetic Fields and Induced Temperatures Within a Model of the Microwave-Irradiated Human Eye , 1975 .

[9]  R. Holland THREDE: A Free-Field EMP Coupling and Scattering Code , 1977, IEEE Transactions on Nuclear Science.

[10]  A. Bayliss,et al.  Radiation boundary conditions for wave-like equations , 1980 .

[11]  A. Taflove,et al.  Radar Cross Section of General Three-Dimensional Scatterers , 1983, IEEE Transactions on Electromagnetic Compatibility.

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

[13]  Allen Taflove,et al.  A hybrid moment method/finite-difference time-domain approach to electromagnetic coupling and aperture penetration into complex geometries , 1982 .

[14]  G.F. Ross,et al.  Time-domain electromagnetics and its applications , 1978, Proceedings of the IEEE.

[15]  Om P. Gandhi,et al.  Use of the Finite-Difference Time-Domain Method in Calculating EM Absorption in Human Tissues , 1987, IEEE Transactions on Biomedical Engineering.

[16]  A. Taflove,et al.  A new formulation of electromagnetic wave scattering using an on-surface radiation boundary condition approach , 1987 .