Differential and integral methods for multidimensional inverse scattering problems

DOI10.1063/1.527329zbMath0616.35072OpenAlexW2019299686MaRDI QIDQ4725052

Andrew E. Yagle

Publication date: 1986

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

Full work available at URL: http://hdl.handle.net/2027.42/71247

zbMATH Keywords

Radon transformwave frontlayer strippingintegral equation proceduresSchrödinger equation inverse scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Multifrequency inverse obstacle scattering: the point source method and generalized filtered backprojection ⋮ Multidimensional inverse scattering: An orthogonalization formulation ⋮ Some properties of far field patterns of acoustic waves in an inhomogeneous medium

Cites Work

• The Schur algorithm and its applications
• A formulation for higher dimensional inverse problems for the wave equation
• Inverse problem of quantum scattering theory. II
• Direct and inverse scattering in the time domain via invariant imbedding equations
• The connection between time- and frequency-domain three-dimensional inverse scattering methods
• Calculation of the Scattering Potential from Reflection Coefficients
• The One-Dimensional Inverse Problem of Reflection Seismology
• 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
• Layer-stripping solutions of multidimensional inverse scattering problems
• 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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