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Direct and inverse scattering for transient electromagnetic waves in nonlinear media

Kristensson, Gerhard LU and Wall, David LU (1997) In Technical Report LUTEDX/(TEAT-7060)/1-28/(1997) TEAT-7060.
Abstract
Nonlinear propagation of electromagnetic waves is an important problem in

optics. Often the properties of the nonlinear media are not fully understood.

The solution of an inverse problem can provide an aid to that understanding.

An inverse transmission problem is posed, it is one of reconstructing the

medium parameters, by measurement of a wave that has been propagated

through the nonlinear medium. The nonlinear medium is assumed to be homogeneous

and isotropic. The methods have application to nonlinear optics,

and the numerical results for both the direct and inverse problems presented

are based on the nonlinear Kerr effect, which is observed in the optical... (More)
Nonlinear propagation of electromagnetic waves is an important problem in

optics. Often the properties of the nonlinear media are not fully understood.

The solution of an inverse problem can provide an aid to that understanding.

An inverse transmission problem is posed, it is one of reconstructing the

medium parameters, by measurement of a wave that has been propagated

through the nonlinear medium. The nonlinear medium is assumed to be homogeneous

and isotropic. The methods have application to nonlinear optics,

and the numerical results for both the direct and inverse problems presented

are based on the nonlinear Kerr effect, which is observed in the optical wavelength

band. However, the mathematical techniques that are developed are

applicable to any set of nonlinear first order equations. The method is therefore

model independent. (Less)
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organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7060)/1-28/(1997)
volume
TEAT-7060
pages
28 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
b860b7c1-660f-437a-a8c8-6382676320dd (old id 530411)
date added to LUP
2007-09-07 10:50:56
date last changed
2016-08-29 16:58:04
@misc{b860b7c1-660f-437a-a8c8-6382676320dd,
  abstract     = {Nonlinear propagation of electromagnetic waves is an important problem in<br/><br>
optics. Often the properties of the nonlinear media are not fully understood.<br/><br>
The solution of an inverse problem can provide an aid to that understanding.<br/><br>
An inverse transmission problem is posed, it is one of reconstructing the<br/><br>
medium parameters, by measurement of a wave that has been propagated<br/><br>
through the nonlinear medium. The nonlinear medium is assumed to be homogeneous<br/><br>
and isotropic. The methods have application to nonlinear optics,<br/><br>
and the numerical results for both the direct and inverse problems presented<br/><br>
are based on the nonlinear Kerr effect, which is observed in the optical wavelength<br/><br>
band. However, the mathematical techniques that are developed are<br/><br>
applicable to any set of nonlinear first order equations. The method is therefore<br/><br>
model independent.},
  author       = {Kristensson, Gerhard and Wall, David},
  language     = {eng},
  pages        = {28},
  publisher    = {ARRAY(0xb00e8d8)},
  series       = {Technical Report LUTEDX/(TEAT-7060)/1-28/(1997)},
  title        = {Direct and inverse scattering for transient electromagnetic waves in nonlinear media},
  volume       = {TEAT-7060},
  year         = {1997},
}