Wave-field splitting, invariant imbedding, and phase space methods in direct and inverse scattering

Louis Fishman

doi:10.1117/12.139014

29 December 1992 Wave-field splitting, invariant imbedding, and phase space methods in direct and inverse scattering

Louis Fishman

Proceedings Volume 1767, Inverse Problems in Scattering and Imaging; (1992) https://doi.org/10.1117/12.139014
Event: San Diego '92, 1992, San Diego, CA, United States

Abstract

Wave field splitting, invariant imbedding, and phase space methods reformulate the Helmholtz wave propagation problem in terms of an operator scattering matrix characteristic of the modeled environment. The subsequent equations for the reflection and transmission operators are first-order in range, nonlinear (Riccati-like), and, in general, nonlocal. The reflection and transmission operator equations provide the framework for constructing inverse algorithms based on, in principle, exact solution methods.

Citation Download Citation

Louis Fishman "Wave-field splitting, invariant imbedding, and phase space methods in direct and inverse scattering", Proc. SPIE 1767, Inverse Problems in Scattering and Imaging, (29 December 1992); https://doi.org/10.1117/12.139014

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