Abstract
The problem considered is that of determining the shape of a planar acoustically sound-soft obstacle from knowledge of the far-field pattern for one time-harmonic incident field. Two methods, which are based on the solution of a pair of integral equations representing the incoming wave and the far-field pattern, respectively, are proposed and investigated for finding the unknown boundary. Numerical resultsare included which show that the methods give accurate numerical approximations in relatively few iterations.
Original language | English |
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Pages (from-to) | 289-308 |
Number of pages | 20 |
Journal | Journal of Integral Equations and Applications |
Volume | 19 |
Issue number | 3 |
DOIs | |
Publication status | Published - Jan 2007 |
Bibliographical note
Copyright © 2007 Rocky Mountain Mathematics ConsortiumKeywords
- far field pattern
- ill-posed
- inverse scattering
- Newton method
- sound-soft
- Tikhonov regularization.