Reconstruction of the impedance Schrödinger equation from the modulus of the reflection coefficients

DOI10.1016/j.wavemoti.2012.04.008zbMath1360.35324OpenAlexW1982092780MaRDI QIDQ526550

Z. T. Nazarchuk, A. T. Synyavskyy, Rostyslav O. Hryniv

Publication date: 15 May 2017

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0165212512000601

zbMATH Keywords

phase reconstructioninverse scattering problemstratified mediaelectromagnetic wave scatteringimpedance Schrödinger equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

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• Spectral theory of ordinary differential operators
• Inverse problems in scattering. An introduction
• Reconstruction of steplike potentials
• The amplitude-phase relation for the reflection coefficient of a layered medium
• Inverse scattering for impedance Schrödinger operators. I: Step-like impedance lattice
• Analytic functions of absolutely convergent generalized trigonometric sums
• Inverse scattering for discontinuous impedance Schrödinger operators: a model example
• Inverse Scattering for Schrödinger Operators with Miura Potentials, II. Different Riccati Representatives
• On modeling discontinuous media. One-dimensional approximations
• Inverse scattering for Schrödinger operators with Miura potentials: I. Unique Riccati representatives and ZS-AKNS systems
• Operator methods for inverse scattering on the real line
• Inverse scattering problem for an elastic layered medium
• The phase problem
• Inverse scattering on the line
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Inverse problem on the line without phase information
• The phase retrieval problem
• Numerical study of the phaseless inverse scattering problem in thin-film optics
• Inverse wave scattering with discontinuous wave speed
• Recovery of discontinuities in a non-homogeneous medium
• Continuous and Discrete Inverse-Scattering Problems in a Stratified Elastic Medium. I. Plane Waves at Normal Incidence