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Direct and inverse scattering for transient electromagnetic waves in nonlinear media

Kristensson, Gerhard LU and Wall, David J. N. (1998) In Inverse Problems 14(1). p.113-137
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 wavelength band. However, the mathematical techniques that are... (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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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Inverse Problems
volume
14
issue
1
pages
113 - 137
publisher
IOP Publishing
external identifiers
  • scopus:0032003022
ISSN
0266-5611
DOI
10.1088/0266-5611/14/1/011
language
English
LU publication?
yes
id
87884c78-4e70-4226-85a5-4ce4cafe041f (old id 143250)
date added to LUP
2007-07-06 12:51:18
date last changed
2017-01-01 04:50:57
@article{87884c78-4e70-4226-85a5-4ce4cafe041f,
  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.<br/><br>
<br/><br>
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.},
  author       = {Kristensson, Gerhard and Wall, David J. N.},
  issn         = {0266-5611},
  language     = {eng},
  number       = {1},
  pages        = {113--137},
  publisher    = {IOP Publishing},
  series       = {Inverse Problems},
  title        = {Direct and inverse scattering for transient electromagnetic waves in nonlinear media},
  url          = {http://dx.doi.org/10.1088/0266-5611/14/1/011},
  volume       = {14},
  year         = {1998},
}