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Electromagnetic scattering from anisotropic materials, part I: General theory

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TLDR
In this paper, integro-differential equations are obtained for the electric and magnetic fields inside a linear, lossy, and anisotropic scatterer, in the frequency domain.
Abstract
Integro-differential equations are obtained for the electric and magnetic fields inside a linear, lossy, and anisotropic scatterer, in the frequency domain. The material of the scatterer is characterized by arbitrary values of the elements of the relative permittivity tensor \bar{\epsilon} , the relative permeability tensor \bar{\mu} , and the conductivity tensor \bar{\sigma} . The results are specialized to the case of oblique scattering in two dimensions, for which a numerically efficient computer code has been developed and tested, as described in a companion paper (Part II). The method developed herein is based on a comparison between macroscopic and microscopic descriptions of electromagnetic fields in material media, and is of general applicability.

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Journal ArticleDOI

Electromagnetic scattering by stratified inhomogeneous anisotropic media

TL;DR: In this article, an analytical formulation for the computation of scattering and transmission by general anisotropic stratified material is presented, which employs a first-order state-vector differential equation representation of the Maxwell's equations whose solution is given in terms of a 4 \times 4 transition matrix relating the tangential field components at the input and output planes of the region.
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Moment method with isoparametric elements for three-dimensional anisotropic scatterers

TL;DR: In this article, a new method for computing the frequency-domain electromagnetic fields scattered from, and penetrating into, arbitrarily shaped, three-dimensional, lossy, inhomogeneous anisotropic scatterers is presented.
Journal ArticleDOI

Discretization of Volume Integral Equation Formulations for Extremely Anisotropic Materials

TL;DR: In this article, a stable volume integral equation formulation and its discretization for extremely anisotropic materials is presented, where the volume integral equations are written in terms of the volume equivalent currents.
Journal ArticleDOI

Scattering by three-dimensional anisotropic scatterers

TL;DR: In this article, the coupled dipole approximation method was extended to compute the scattering characteristics of three-dimensional, homogeneous, lossless, anisotropic objects, which does not require the solution of any integrodifferential equations.
Journal ArticleDOI

Two-dimensional scattering by a homogeneous anisotropic rod

TL;DR: An integral equation based on a plane wave representation of the fields in a simply connected and anisotropic medium has been derived in this article to handle the problem of two-dimensional scattering by a homogeneous anisoustric cylinder.
References
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Journal ArticleDOI

Electromagnetic fields due to dipole antennas over stratified anisotropic media.

TL;DR: In this article, a general wave field is decomposed into transverse magnetic (TM) and transverse electric (TE) modes and the reflection coefficients are obtained in closed form.
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Electromagnetic fields of buried sources in stratified anisotropic media

TL;DR: In this paper, a general formulation to the problem of the radiation of arbitrary distribution of buried sources within a horizontally stratified anisotropic medium is presented, where the fields are obtained in terms of appropriately defined electric and magnetic types of dyadic Green's functions which are dual to each other.
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Electromagnetic fields due to dipole antennas embedded in stratified anisotropic media

TL;DR: In this article, a method for calculating the electric and magnetic fields from dipoles embedded in anisotropic stratified media is presented. But the method is based on decomposing the fields into transverse electric (TE) and transverse magnetic (TM) modes, which is more computationally efficient than using the Hertz potential.
Journal ArticleDOI

Dispersion relation for general anisotropic media

TL;DR: In this article, the dispersion relation for an anisotropic medium with arbitrary tensor permittivity and permeability is derived for the case of layered media, and applications to layered media are discussed.
Journal ArticleDOI

Electromagnetic fields of a dipole over an anisotropic half-space

TL;DR: In this paper, an oscillating electric dipole located over a homogeneous anisotropic conducting half-space is considered, and the conductivity tensor is taken to have a simple diagonal form which is appropriate for a...
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