Nonuniqueness in inverse acoustic scattering on the line
DOI10.1063/1.530661zbMath0806.34014OpenAlexW2059255678MaRDI QIDQ4298585
Tuncay Aktosun, Cornelis V. M. van der Mee
Publication date: 8 August 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/7f7eb9c622c86f8f0e6b6229ecff9a34cb93cd87
scattering matrixjump discontinuityrecoverynonuniquenessgeneralized one-dimensional Schrödinger equation
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse scattering problems in quantum theory (81U40) Inverse problems involving ordinary differential equations (34A55)
Related Items (1)
Cites Work
- On the Riemann–Hilbert problem for the one-dimensional Schrödinger equation
- Remarks on inverse scattering in one dimension
- THE ONE-DIMENSIONAL INVERSE SCATTERING PROBLEM FOR THE WAVE EQUATION
- Inverse scattering. I. One dimension
- Inverse scattering problem for an elastic layered medium
- Inverse scattering in 1-D nonhomogeneous media and recovery of the wave speed
- Scattering and inverse scattering in one-dimensional nonhomogeneous media
- Inverse scattering on the line
- Scattering and inverse scattering for a second-order differential equation
- Extension of the one-dimensional scattering theory, and ambiguities
- Continuous and Discrete Inverse-Scattering Problems in a Stratified Elastic Medium. I. Plane Waves at Normal Incidence
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