Inverse scattering: determination of inhomogeneities in sound speed

DOI10.1063/1.525303zbMath0511.76070OpenAlexW2058272911MaRDI QIDQ4750310

George N. Balanis

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525303

zbMATH Keywords

Schrödinger equationinverse scatteringone dimensionaltime domain formulationbackscattered wavesfrequency domain formulationpropagation speed inhomogeneities

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Integral representations of solutions to PDEs (35C15) Wave equation (35L05) Hydro- and aero-acoustics (76Q05) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Linear integral equations (45A05)

Related Items (3)

Solution to the inverse problem of the 1-D wave equation ⋮ Solution to the inverse problem of the 1-D wave equation ⋮ Inverse scattering for the reflectivity function

Cites Work

• A numerical algorithm for remote sensing of density profiles of a simple ocean model by acoustic pulses
• On the determination of a differential equation from its spectral function
• The Inverse Problem in the Quantum Theory of Scattering
• A second Order Procedure for One-Dimensional Velocity Inversion
• An Inverse Method for Determining Small Variations in Propagation Speed
• Continuous and Discrete Inverse-Scattering Problems in a Stratified Elastic Medium. I. Plane Waves at Normal Incidence
• Certain Explicit Relationships between Phase Shift and Scattering Potential

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