The shape of a plane acoustical sound-soft obstacle is detected from knowledge of the far field pattern for one time-harmonic incident field. Two methods based on solving a system of integral equations for the incoming wave and the far field pattern are investigated. Properties of the integral operators required in order to apply regularization, i.e. injectivity and denseness of the range, are proved.
- far field pattern
- Newton method
- inverse scattering
Ivanyshyn, O., & Johansson, B. T. (2008). Boundary integral equations for acoustical inverse sound-soft scattering. Journal of Inverse and Ill-Posed Problems, 16(1), 65–78. https://doi.org/10.1515/jiip.2008.005