Journal ArticleDOI
A Novel Method to Analyze Electromagnetic Scattering of Complex Objects
K. R. Umashankar,Allen Taflove +1 more
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TLDR
In this article, a finite-difference time-domain (FD-TD) method is proposed to compute the near total fields within a rectangular volume which fully encloses the object and then an electromagnetic-field equivalence principle is invoked at a virtual surface of this rectangular volume to transform the tangential near scattered fields to the far field.Abstract:
The finite-difference time-domain (FD-TD) method is proposed as a means of accurately computing electromagnetic scattering by arbitrary-shaped extremely complex metal or dielectric objects excited by an external plane wave. In the proposed method, one first uses the FD-TD method to compute the near total fields within a rectangular volume which fully encloses the object. Then, an electromagnetic-field equivalence principle is invoked at a virtual surface of this rectangular volume to transform the tangential near scattered fields to the far field. To verify the feasibility of this method, the surface currents, near scattered fields, far scattered fields, and radar cross section of two canonical two-dimensional objects are presented. For these cases, it is shown that the FD-TD method provides magnitude of current and field predictions which are within ± 2.5 percent and further phase values within ± 30 of values predicted by the method of moments ( MOM) at virtually every point including in shadow regions.read more
Citations
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Journal ArticleDOI
A perfectly matched layer for the absorption of electromagnetic waves
TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.
Journal ArticleDOI
Non-reflecting boundary conditions
TL;DR: In this article, the use of nonreflecting boundary conditions in numerical solution of wave problems is reviewed, including local and non-local boundary conditions, as well as special procedures which involve artificial boundaries.
Journal ArticleDOI
A frequency-dependent finite-difference time-domain formulation for dispersive materials
TL;DR: In this paper, the traditional finite difference time domain (FDTD) formulation is extended to include a discrete time-domain convolution, which is efficiently evaluated using recursion, and the accuracy of the extension is demonstrated by computing the reflection coefficient at an air-water interface over a wide frequency band including the effects of the frequency-dependent permittivity of water.
Book
Numerical Techniques in Electromagnetics, Second Edition
TL;DR: Numerical Techniques in Electromagnetics is designed to show the reader how to pose, numerically analyze, and solve electromagnetic (EM) problems using a variety of available numerical methods.
Journal ArticleDOI
Numerical methods in electromagnetic scattering theory
TL;DR: An overview is given over some of the most widely used numerical techniques for solving the electromagnetic scattering problem that start from rigorous electromagnetic theory.
References
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Journal ArticleDOI
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
Journal ArticleDOI
Absorbing boundary conditions for the numerical simulation of waves
Björn Engquist,Andrew J. Majda +1 more
TL;DR: This work develops a systematic method for obtaining a hierarchy of local boundary conditions at these artifical boundaries that not only guarantee stable difference approximations, but also minimize the (unphysical) artificial reflections that occur at the boundaries.
Journal ArticleDOI
Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations
TL;DR: In this paper, highly absorbing boundary conditions for two-dimensional time-domain electromagnetic field equations are presented for both two-and three-dimensional configurations and numerical results are given that clearly exhibit the accuracy and limits of applicability of these boundary conditions.
Journal ArticleDOI
Numerical Solution of Steady-State Electromagnetic Scattering Problems Using the Time-Dependent Maxwell's Equations
Allen Taflove,M.E. Brodwin +1 more
TL;DR: In this paper, a numerical method for the solution of the electromagnetic fields within an arbitrary dielectric scatterer of the order of one wavelength in diameter is described, and an error of less than /spl plusmn/10 percent in locating and evaluating the standing wave peaks within the cylinder is achieved for a program execution time of 1 min.
Journal ArticleDOI
Application of the Finite-Difference Time-Domain Method to Sinusoidal Steady-State Electromagnetic-Penetration Problems
TL;DR: In this article, a numerical method for predicting the sinusoidal steady-state electromagnetic fields penetrating an arbitrary dielectric or conducting body is described, which employs the finite-difference time-domain (FD-TD) solution of Maxwell's curl equations implemented on a cubic-unit-cell space lattice.