The problem considered is that of determining the shape of a plane acoustically sound-soft obstacle from the knowledge of the far-field pattern for one time-harmonic incident field. An iterative procedure is proposed based on two boundary integrals representing the incident field and the far-field pattern, respectively. Numerical examples are included which show that the procedure gives accurate numerical approximations in relatively few iterations.
- far-field pattern
- inverse scattering
- sound soft.
Johansson, T., & Sleeman, B. D. (2007). Reconstruction of an acoustically sound-soft obstacle from one incident field and the far field pattern. IMA Journal of Applied Mathematics, 72(1), 96-112. https://doi.org/10.1093/imamat/hxl026