Advanced

Scattering of transient electromagnetic waves in reciprocal bi-isotropic media

Kristensson, Gerhard LU and Rikte, Sten LU (1992) In Journal Electromagnetic Waves and Applications 6(11). p.1517-1535
Abstract
In this paper propagation of transient electromagnetic waves in a reciprocal bi-isotropic medium is presented. The constitutive relations are convolution integrals with two susceptibility kernels that model the medium. The propagation problem is solved by the introduction of a wave-splitting technique. This wave-splitting is used to solve the propagation problem using either an imbedding approach or a Green's function technique. In particular, the scattering problem of an electromagnetic wave that impinges normally on a slab of finite or infinite extent is solved. The slab is assumed to be inhomogeneous with respect to depth. The scattering problem consists of finding the reflected and the transmitted fields and the generic quantities are... (More)
In this paper propagation of transient electromagnetic waves in a reciprocal bi-isotropic medium is presented. The constitutive relations are convolution integrals with two susceptibility kernels that model the medium. The propagation problem is solved by the introduction of a wave-splitting technique. This wave-splitting is used to solve the propagation problem using either an imbedding approach or a Green's function technique. In particular, the scattering problem of an electromagnetic wave that impinges normally on a slab of finite or infinite extent is solved. The slab is assumed to be inhomogeneous with respect to depth. The scattering problem consists of finding the reflected and the transmitted fields and the generic quantities are the reflection and the transmission kernels of the medium. Explicit expressions for the rotation and the attenuation of the wave front is presented for the inhomogeneous slab. In the special case of a homogeneous infinite slab it is proved that the reflection kernel satisfies a nonlinear Volterra equation of the second kind, very suitable for numerical calculations. It is also proved that no cross polarization contribution appears for the homogeneous slab. Several numerical computations illustrate the analysis. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal Electromagnetic Waves and Applications
volume
6
issue
11
pages
1517 - 1535
publisher
VSP BV
external identifiers
  • scopus:0003016113
ISSN
1569-3937
DOI
10.1163/156939392X00049
language
English
LU publication?
yes
id
bf21fd55-1fe8-4973-9d50-f4587652fb18 (old id 144401)
date added to LUP
2007-07-06 14:10:10
date last changed
2017-02-05 03:31:33
@article{bf21fd55-1fe8-4973-9d50-f4587652fb18,
  abstract     = {In this paper propagation of transient electromagnetic waves in a reciprocal bi-isotropic medium is presented. The constitutive relations are convolution integrals with two susceptibility kernels that model the medium. The propagation problem is solved by the introduction of a wave-splitting technique. This wave-splitting is used to solve the propagation problem using either an imbedding approach or a Green's function technique. In particular, the scattering problem of an electromagnetic wave that impinges normally on a slab of finite or infinite extent is solved. The slab is assumed to be inhomogeneous with respect to depth. The scattering problem consists of finding the reflected and the transmitted fields and the generic quantities are the reflection and the transmission kernels of the medium. Explicit expressions for the rotation and the attenuation of the wave front is presented for the inhomogeneous slab. In the special case of a homogeneous infinite slab it is proved that the reflection kernel satisfies a nonlinear Volterra equation of the second kind, very suitable for numerical calculations. It is also proved that no cross polarization contribution appears for the homogeneous slab. Several numerical computations illustrate the analysis.},
  author       = {Kristensson, Gerhard and Rikte, Sten},
  issn         = {1569-3937},
  language     = {eng},
  number       = {11},
  pages        = {1517--1535},
  publisher    = {VSP BV},
  series       = {Journal Electromagnetic Waves and Applications},
  title        = {Scattering of transient electromagnetic waves in reciprocal bi-isotropic media},
  url          = {http://dx.doi.org/10.1163/156939392X00049},
  volume       = {6},
  year         = {1992},
}