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.
Bibliographical noteCopyright © 2007 Rocky Mountain Mathematics Consortium
- far field pattern
- inverse scattering
- Newton method
- Tikhonov regularization.
Ivanyshyn, O., & Johansson, T. (2007). Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle. Journal of Integral Equations and Applications, 19(3), 289-308. https://doi.org/10.1216/jiea/1190905488