A Newton method for solving the inverse scattering problem for a sound-hard obstacle
- 1 June 1996
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 12 (3) , 309-323
- https://doi.org/10.1088/0266-5611/12/3/010
Abstract
We present a Newton method for solving the ill-posed and nonlinear inverse scattering problem. For its foundation we establish the Fréchet differentiability of the far-field operator with respect to the boundary and show that the Fréchet derivative can be obtained as the solution of a hypersingular integral equation. In order to derive the right-hand sides of this integral equation we use a quadrature method. We describe the numerical solution method and give some numerical results.Keywords
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