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Inverse problems for acoustic waves using the penalised likelihood method

Kristensson, Gerhard LU and Vogel, Curtis R. (1986) In Inverse Problems 2(4). p.461-479
Abstract
The authors consider the following inverse problem for scattering of time-harmonic waves by an impenetrable obstacle. Given data obtained from the scattered field at infinity, they determine the location of the boundary of the obstacle. To solve the forward scattering problem, they use the T matrix method, or null field approach. The ill-posedness of the inverse problem is discussed. To solve the inverse problem, an optimal control, or 'data fitting', approach is used, and stable approximate solutions are obtained using a technique known as the penalised likelihood method. Results of a numerical study are presented, showing the effects on the accuracy of the inversion of different types of far field data, various incident fields, and... (More)
The authors consider the following inverse problem for scattering of time-harmonic waves by an impenetrable obstacle. Given data obtained from the scattered field at infinity, they determine the location of the boundary of the obstacle. To solve the forward scattering problem, they use the T matrix method, or null field approach. The ill-posedness of the inverse problem is discussed. To solve the inverse problem, an optimal control, or 'data fitting', approach is used, and stable approximate solutions are obtained using a technique known as the penalised likelihood method. Results of a numerical study are presented, showing the effects on the accuracy of the inversion of different types of far field data, various incident fields, and random error in the data. In two dimensions, several different obstacle shapes are considered. An example for an axially symmetric obstacle in three dimensions is also presented. (Less)
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author
publishing date
type
Contribution to journal
publication status
published
subject
in
Inverse Problems
volume
2
issue
4
pages
461 - 479
publisher
IOP Publishing
external identifiers
  • scopus:0010962317
ISSN
0266-5611
language
English
LU publication?
no
id
eb027b5b-280c-461a-9b0a-f9536b125305 (old id 1039269)
date added to LUP
2008-02-28 13:13:12
date last changed
2017-01-01 07:31:32
@article{eb027b5b-280c-461a-9b0a-f9536b125305,
  abstract     = {The authors consider the following inverse problem for scattering of time-harmonic waves by an impenetrable obstacle. Given data obtained from the scattered field at infinity, they determine the location of the boundary of the obstacle. To solve the forward scattering problem, they use the T matrix method, or null field approach. The ill-posedness of the inverse problem is discussed. To solve the inverse problem, an optimal control, or 'data fitting', approach is used, and stable approximate solutions are obtained using a technique known as the penalised likelihood method. Results of a numerical study are presented, showing the effects on the accuracy of the inversion of different types of far field data, various incident fields, and random error in the data. In two dimensions, several different obstacle shapes are considered. An example for an axially symmetric obstacle in three dimensions is also presented.},
  author       = {Kristensson, Gerhard and Vogel, Curtis R.},
  issn         = {0266-5611},
  language     = {eng},
  number       = {4},
  pages        = {461--479},
  publisher    = {IOP Publishing},
  series       = {Inverse Problems},
  title        = {Inverse problems for acoustic waves using the penalised likelihood method},
  volume       = {2},
  year         = {1986},
}