## Inverse Problems For A Perturbed Dissipative Half-Space (1995)

Venue: | INVERSE PROBLEMS |

Citations: | 12 - 3 self |

### BibTeX

@INPROCEEDINGS{Cheney95inverseproblems,

author = {Margaret Cheney and David Isaacson},

title = {Inverse Problems For A Perturbed Dissipative Half-Space},

booktitle = {INVERSE PROBLEMS},

year = {1995},

pages = {865--888},

publisher = {}

}

### OpenURL

### Abstract

This paper addresses the scattering of acoustic and electromagnetic waves from a perturbed dissipative half-space. For simplicity, the perturbation is assumed to have compact support. Section 1 discusses the application that motivated this work and explains how the scalar model used here is related to Maxwell's equations. Section 2 introduces three formulations for direct and inverse problems for the half-space geometry. Two of these formulations relate to scattering problems, and the third to a boundary value problem. Section 3 shows how the scattering problems can be related to the boundary value problem. This shows that the three inverse problems are equivalent in a certain sense. In section 4, the boundary value problem is used to outline a simple way to formulate a multidimensional layer stripping procedure. This procedure is unstable and does not constitute a practical algorithm for solving the inverse problem. The paper concludes with three appendices, the first two of which car...