The problem of recovering the permittivity coefficient from the modulus of the scattered electromagnetic field

DOI10.1134/S0037446617040176zbMath1379.35304OpenAlexW2750580166MaRDI QIDQ1675186

Vladimir G. Romanov

Publication date: 27 October 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617040176

zbMATH Keywords

uniquenessphaseless inverse problemstationary electrodynamic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (14)

Phaseless problem of determination of anisotropic conductivity in electrodynamic equations ⋮ Phaseless inverse problems with interference waves ⋮ Reconstruction of Permittivity from the Modulus of a Scattered Electric Field ⋮ Phaseless inverse problems that use wave interference ⋮ Approximate Lipschitz stability for phaseless inverse scattering with background information ⋮ Determination of permittivity from the modulus of the electric strength of a high-frequency electromagnetic field ⋮ Inverse problem of electrodynamics for anisotropic medium: linear approximation ⋮ Phaseless inverse problems for Schrödinger, Helmholtz, and Maxwell equations ⋮ Unnamed Item ⋮ Recovering two coefficients in an elliptic equation via phaseless information ⋮ On the uniqueness of the solution of the inverse coefficient problem for the Helmholtz equation in a phaseless spatially nonoverdetermined statement ⋮ Plane wave solutions to the equations of electrodynamics in an anisotropic medium ⋮ An inverse phaseless problem for electrodynamic equations in an anisotropic medium ⋮ A Numerical Method of Determining Permittivity from the Modulus of the Electric Intensity Vector of an Electromagnetic Field

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