Layer-stripping solutions of multidimensional inverse scattering problems

DOI10.1063/1.527086zbMath0594.45011OpenAlexW1986668747MaRDI QIDQ3724940

Bernard C. Levy, Andrew E. Yagle

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527086

zbMATH Keywords

wave frontwave fieldBorn approximationinverse seismic probleminverse acoustic problemlayer-stripping procedureSchrödinger inverse scattering

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Theoretical approximation of solutions to integral equations (45L05)

Related Items (10)

Wave splitting and the reflection operator for the wave equation in R3 ⋮ Factorization of the wave equation in higher dimensions ⋮ Factorization of the wave equation in a nonplanar stratified medium ⋮ Multidimensional inverse scattering: An orthogonalization formulation ⋮ Boundary control, wave field continuation and inverse problems for the wave equation ⋮ Past and future of inverse problems ⋮ Stability analysis of the Yagle–Levy multidimensional inverse scattering algorithm ⋮ Differential and integral methods for multidimensional inverse scattering problems ⋮ An iterative method for the inversion of the two-dimensional wave equation with a potential ⋮ Linearization ill-posedness for 2. 5-D wave equation inversion model

Cites Work

• The Schur algorithm and its applications
• A formulation for higher dimensional inverse problems for the wave equation
• Direct and inverse scattering in the time domain via invariant imbedding equations
• The connection between time- and frequency-domain three-dimensional inverse scattering methods
• The One-Dimensional Inverse Problem of Reflection Seismology
• Inverse scattering in a stratified medium
• Velocity and density of a two-dimensional acoustic medium from point source surface data
• Application of the Schur algorithm to the inverse problem for a layered acoustic medium
• Differential Methods in Inverse Scattering
• Inversion ofN-Dimensional Spherical Averages
• Three-dimensional inverse scattering: Plasma and variable velocity wave equations
• Inverse scattering. II. Three dimensions
• Stable Solution of the Inverse Reflection Problem for a Smoothly Stratified Elastic Medium

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