Solving the multi-frequency electromagnetic inverse source problem by the Fourier method

DOI10.1016/j.jde.2018.02.036zbMath1388.78005arXiv1708.00673OpenAlexW2963752602WikidataQ130161157 ScholiaQ130161157MaRDI QIDQ1743815

Guan Wang, Jingzhi Li, Yukun Guo, Fuming Ma

Publication date: 16 April 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00673

zbMATH Keywords

Maxwell's equationsFourier methodinverse source problemmulti-frequencytime-harmonic

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Electromagnetic theory (general) (78A25) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Numerical integration (65D30) Numerical methods for inverse problems for integral equations (65R32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Maxwell equations (35Q61) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (13)

Boundary condition limitation in an inverse source problem and its overcoming ⋮ Direct imaging for the moment tensor point sources of elastic waves ⋮ Retrieval of acoustic sources from multi-frequency phaseless data ⋮ Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies ⋮ Reconstruction of acoustic source with high-curvature part ⋮ Reconstruction of acoustic sources from multi-frequency phaseless far-field data ⋮ An Inverse Random Source Problem for Maxwell's Equations ⋮ Fourier method for identifying electromagnetic sources with multi-frequency far-field data ⋮ Identifying multipolar acoustic sources by the direct sampling method ⋮ Inverse Electromagnetic Source Scattering Problems with MultiFrequency Sparse Phased and Phaseless Far Field Data ⋮ Fourier method for reconstructing elastic body force from the coupled-wave field ⋮ Generating geometric body shapes with electromagnetic source scattering techniques ⋮ A modified Tikhonov regularization for unknown source in space fractional diffusion equation

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