Some inverse scattering problems of geophysics
- 1 May 1985
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 1 (2) , 133-172
- https://doi.org/10.1088/0266-5611/1/2/005
Abstract
Several problems arising in geophysics are considered. The problems consist of finding an unknown coefficient in a partial differential equation from the knowledge of the solution to this equation of a certain surface. The unknown coefficient is usually the refraction index of a medium, the scattering potential, or the conductivity profile. Analytical inversion algorithms are given.Keywords
This publication has 12 references indexed in Scilit:
- An inversion formula in scattering theoryPhysics Letters A, 1983
- Inverse scattering for geophysical problemsPhysics Letters A, 1983
- Convergence of the T-matrix approach in scattering theory. IIJournal of Mathematical Physics, 1983
- The fundamental identity for iterated spherical means and the inversion formula for diffraction tomography and inverse scatteringJournal of Mathematical Physics, 1983
- Convergence of the T-matrix approach in the potential scatteringJournal of Mathematical Physics, 1982
- Convergence of the T-matrix approach to scattering theoryJournal of Mathematical Physics, 1982
- Inversion formula for inverse scattering within the Born approximationOptics Letters, 1982
- The inverse problem of the direct current conductivity profile of a layered earthGeophysics, 1981
- Stable solutions of some ill‐posed problemsMathematical Methods in the Applied Sciences, 1981
- Numerical inversion of the laplace transform: a survey and comparison of methodsJournal of Computational Physics, 1979