On the uniqueness of a solution to an inverse problem of scattering by an inhomogeneous solid with a piecewise Hölder refractive index in a special function class

DOI10.1134/S1064562419020315zbMath1420.35473OpenAlexW2950076023MaRDI QIDQ2313261

Yanyan Li

Publication date: 18 July 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562419020315

zbMATH Keywords

inverse scattering

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (2)

Direct and inverse scalar scattering problems for the Helmholtz equation in \(\mathbb{R}^m\) ⋮ Non-iterative two-step method for solving scalar inverse 3D diffraction problem

Cites Work

• The two-step method for determining a piecewise-continuous refractive index of a 2D scatterer by near field measurements

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