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Inverse scattering for the homogeneous dispersive anisotropic slab using transient electromagnetic fields

Friden, Jonas LU (1994) In Technical Report LUTEDX/(TEAT-7031)/1-24/(1994)
Abstract
An inverse scattering problem for a slab containing a homogeneous dispersive

anisotropic medium is investigated. The inverse problem is to recover two

three-dimensional dyadic susceptibility kernels from knowledge of the scattering kernels. Time domain techniques involving transient electromagnetic plane waves, wave splitting, invariant imbedding and a Green function technique are used. The inverse problem is separated into two parts: The Dynamics Inverse Problem (DIP) and Retrieval of Interior Parameters (RIP). Furthermore, mirror images and the Mirror Image Pair (MIP) are discussed. The DIP is solved numerically by using an inverse algorithm and scattering data from one MIP. The RIP turns out to be well posed (system of... (More)
An inverse scattering problem for a slab containing a homogeneous dispersive

anisotropic medium is investigated. The inverse problem is to recover two

three-dimensional dyadic susceptibility kernels from knowledge of the scattering kernels. Time domain techniques involving transient electromagnetic plane waves, wave splitting, invariant imbedding and a Green function technique are used. The inverse problem is separated into two parts: The Dynamics Inverse Problem (DIP) and Retrieval of Interior Parameters (RIP). Furthermore, mirror images and the Mirror Image Pair (MIP) are discussed. The DIP is solved numerically by using an inverse algorithm and scattering data from one MIP. The RIP turns out to be well posed (system of Volterra equations of the second kind) and needs in general two MIPs. In the DIP, the equations for initial values using transmission data have in general not a unique solution. Constraints and simplifications for certain classes of media are pointed out. Numerical

examples, including noisy data, illustrate the analysis. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7031)/1-24/(1994)
pages
24 pages
publisher
[Publisher information missing]
report number
TEAT-7031
language
English
LU publication?
yes
additional info
Published version: Wave Motion, 23(4), 289-306, 1996.
id
01b9a3ed-8e1b-4664-88d8-9fe62df7f14f (old id 1737298)
date added to LUP
2016-04-04 13:05:21
date last changed
2018-11-21 21:12:08
@techreport{01b9a3ed-8e1b-4664-88d8-9fe62df7f14f,
  abstract     = {{An inverse scattering problem for a slab containing a homogeneous dispersive<br/><br>
anisotropic medium is investigated. The inverse problem is to recover two<br/><br>
three-dimensional dyadic susceptibility kernels from knowledge of the scattering kernels. Time domain techniques involving transient electromagnetic plane waves, wave splitting, invariant imbedding and a Green function technique are used. The inverse problem is separated into two parts: The Dynamics Inverse Problem (DIP) and Retrieval of Interior Parameters (RIP). Furthermore, mirror images and the Mirror Image Pair (MIP) are discussed. The DIP is solved numerically by using an inverse algorithm and scattering data from one MIP. The RIP turns out to be well posed (system of Volterra equations of the second kind) and needs in general two MIPs. In the DIP, the equations for initial values using transmission data have in general not a unique solution. Constraints and simplifications for certain classes of media are pointed out. Numerical<br/><br>
examples, including noisy data, illustrate the analysis.}},
  author       = {{Friden, Jonas}},
  institution  = {{[Publisher information missing]}},
  language     = {{eng}},
  number       = {{TEAT-7031}},
  series       = {{Technical Report LUTEDX/(TEAT-7031)/1-24/(1994)}},
  title        = {{Inverse scattering for the homogeneous dispersive anisotropic slab using transient electromagnetic fields}},
  url          = {{https://lup.lub.lu.se/search/files/6050157/1737299.pdf}},
  year         = {{1994}},
}