Journal ArticleDOI
An E-Field solution for a conducting surface small or comparable to the wavelength
Joseph R. Mautz,R. Harrington +1 more
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TLDR
In this article, a moment solution to the electric field integral equation on the surface is presented for the electric current and electric charge induced on a perfectly conducting surface illuminated by an incident electromagnetic field.Abstract:
A new E -field solution is presented for the electric current and electric charge induced on a perfectly conducting surface illuminated by an incident electromagnetic field. This solution is a moment solution to the electric field integral equation on the surface. The expansion functions consist of a set of functions suitable for expanding the magnetostatic current and a set of functions whose surface divergences are suitable for expanding the electrostatic charge. The testing functions are similar to the expansion functions. With these expansion and testing functions, the new E -field solution works well with surfaces whose maximum dimension may be as small as 10^{-15} wavelengths or as large as a few wavelengths. Previous E -field solutions begin to deteriorate when the maximum dimension of the surface falls below a few hundredths of a wavelength. The new E -field solution is applied to a conducting circular disk and a conducting sphere.read more
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Book
Integral Equation Methods for Electromagnetic and Elastic Waves
TL;DR: Important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research.
Journal ArticleDOI
Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies
Jun-Sheng Zhao,Weng Cho Chew +1 more
TL;DR: A permutation of the loop-tree or loop-star currents by a connection matrix is proposed, to arrive at a current basis that yields a MoM matrix that can be solved efficiently by iterative solvers.
Journal ArticleDOI
A novel scheme for the solution of the time-domain integral equations of electromagnetics
TL;DR: In this article, a new method to numerically solve time-domain integral equations pertinent to electromagnetic surface scattering phenomena is presented, using approximate prolate spheroidal wave functions and standard Rao-Wilton-Glisson basis functions to effect the temporal and spatial discretization of the integral equations, respectively.
Journal ArticleDOI
Current and charge Integral equation formulation
Matti Taskinen,Pasi Ylä-Oijala +1 more
TL;DR: In this paper, a stable frequency domain surface integral equation formulation for the three dimensional electromagnetic scattering of composite metallic and dielectric objects is proposed, which does not suffer from the low frequency breakdown and leads to a well balanced and stable system on a wide frequency band.
Journal ArticleDOI
Well-conditioned Muller formulation for electromagnetic scattering by dielectric objects
Pasi Ylä-Oijala,Matti Taskinen +1 more
TL;DR: In this paper, the authors show that the low-frequency breakdown associated to the MoM solution of scattering by dielectric objects can be avoided by the classical Muller formulation without the loop-tree or loop-star basis functions.
References
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Journal ArticleDOI
Electromagnetic scattering by surfaces of arbitrary shape
TL;DR: In this paper, the electric field integral equation (EFIE) is used with the moment method to develop a simple and efficient numerical procedure for treating problems of scattering by arbitrarily shaped objects.
Journal ArticleDOI
Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces
TL;DR: In this paper, a simple and efficient numerical method is developed for treating electromagnetic problems of scattering and radiation from surfaces, where special consideration is given to the treatment of edges so that rather arbitrary geometrical configurations may be handled.
Journal ArticleDOI
Radiation and scattering from bodies of revolution
TL;DR: In this paper, the problem of electromagnetic radiation and scattering from perfectly conducting bodies of revolution of arbitrary shape is considered, and the mathematical formulation is an integro-differential equation, obtained from the potential integrals plus boundary conditions at the body.
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Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies
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