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.
|Number of pages||20|
|Journal||Journal of Integral Equations and Applications|
|Publication status||Published - Jan 2007|
Bibliographical noteCopyright © 2007 Rocky Mountain Mathematics Consortium
- far field pattern
- inverse scattering
- Newton method
- Tikhonov regularization.