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Transient External 3D Excitation of a Dispersive and Antisotropic Slab

Friden, Jonas LU and Kristensson, Gerhard LU (1995) In Technical Report LUTEDX/(TEAT-7043)/1-25/(1995)
Abstract
Propagation of a transient electromagnetic field in a stratified, dispersive and

anisotropic slab and related direct and inverse problems are investigated. The

field is generated by a transient external 3D source. The analysis relies on the

wave splitting concept and a two-dimensional Fourier transformation in the

transverse spatial coordinates. An investigation of the physical properties of

the split fields is made. To solve the direct and inverse scattering problems,

wave propagators are used. This method is a generalization and a unification

of the previously used imbedding and Green functions methods. The wave

propagator approach provides an exact solution of the... (More)
Propagation of a transient electromagnetic field in a stratified, dispersive and

anisotropic slab and related direct and inverse problems are investigated. The

field is generated by a transient external 3D source. The analysis relies on the

wave splitting concept and a two-dimensional Fourier transformation in the

transverse spatial coordinates. An investigation of the physical properties of

the split fields is made. To solve the direct and inverse scattering problems,

wave propagators are used. This method is a generalization and a unification

of the previously used imbedding and Green functions methods. The wave

propagator approach provides an exact solution of the transmission operator.

From this solution it is possible to extract the first precursor (the Sommerfeld

forerunner). These results also hold for a bi-anisotropic slab. An inverse problem

is outlined using reflection and transmission data corresponding to four,

two-dimensional Fourier parameters. Due to the stratification of the medium,

the inverse Fourier transformation is not needed in the inverse problem. (Less)
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author
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organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7043)/1-25/(1995)
pages
25 pages
publisher
Department of Electromagnetic Theory, Lund Institute of Technology
report number
TEAT-7043
language
English
LU publication?
yes
additional info
Published version: Inverse Problems, 13(3), 691-709, 1997.
id
95728224-2b5b-4dc6-8b6a-5bfb22aa4840 (old id 530324)
date added to LUP
2016-04-04 13:33:04
date last changed
2018-11-21 21:14:44
@techreport{95728224-2b5b-4dc6-8b6a-5bfb22aa4840,
  abstract     = {{Propagation of a transient electromagnetic field in a stratified, dispersive and<br/><br>
anisotropic slab and related direct and inverse problems are investigated. The<br/><br>
field is generated by a transient external 3D source. The analysis relies on the<br/><br>
wave splitting concept and a two-dimensional Fourier transformation in the<br/><br>
transverse spatial coordinates. An investigation of the physical properties of<br/><br>
the split fields is made. To solve the direct and inverse scattering problems,<br/><br>
wave propagators are used. This method is a generalization and a unification<br/><br>
of the previously used imbedding and Green functions methods. The wave<br/><br>
propagator approach provides an exact solution of the transmission operator.<br/><br>
From this solution it is possible to extract the first precursor (the Sommerfeld<br/><br>
forerunner). These results also hold for a bi-anisotropic slab. An inverse problem<br/><br>
is outlined using reflection and transmission data corresponding to four,<br/><br>
two-dimensional Fourier parameters. Due to the stratification of the medium,<br/><br>
the inverse Fourier transformation is not needed in the inverse problem.}},
  author       = {{Friden, Jonas and Kristensson, Gerhard}},
  institution  = {{Department of Electromagnetic Theory, Lund Institute of Technology}},
  language     = {{eng}},
  number       = {{TEAT-7043}},
  series       = {{Technical Report LUTEDX/(TEAT-7043)/1-25/(1995)}},
  title        = {{Transient External 3D Excitation of a Dispersive and Antisotropic Slab}},
  url          = {{https://lup.lub.lu.se/search/files/6147754/624875.pdf}},
  year         = {{1995}},
}