Fourier method for identifying electromagnetic sources with multi-frequency far-field data

DOI10.1016/j.cam.2019.03.013zbMath1415.35292arXiv1801.03263OpenAlexW2962892584WikidataQ128176895 ScholiaQ128176895MaRDI QIDQ2000626

Minghui Song, Yukun Guo, Xianchao Wang, Hongyu Liu, Hongjie Li

Publication date: 28 June 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03263

zbMATH Keywords

Fourier expansionMaxwell systeminverse source problemmulti-frequencyfar-field

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (8)

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 ⋮ Inverse Electromagnetic Source Scattering Problems with MultiFrequency Sparse Phased and Phaseless Far Field Data ⋮ An inverse scattering approach for geometric body generation: a machine learning perspective ⋮ Generating geometric body shapes with electromagnetic source scattering techniques ⋮ Recovering point sources for the inhomogeneous Helmholtz equation ^* ⋮ A neural network method for time-dependent inverse source problem with limited-aperture data

Cites Work

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• Solving the multi-frequency electromagnetic inverse source problem by the Fourier method
• Fourier method for recovering acoustic sources from multi-frequency far-field data
• Electromagnetic source identification using multiple frequency information
• An Inverse Source Problem for Maxwell's Equations in Magnetoencephalography
• Determining both sound speed and internal source in thermo- and photo-acoustic tomography
• The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium
• Acoustic source identification using multiple frequency information
• Nonuniqueness in the inverse source problem in acoustics and electromagnetics
• Optical tomography in medical imaging
• TE/TM decomposition of electromagnetic sources
• On an inverse source problem for the heat equation. Application to a pollution detection problem
• The unique determination of neuronal currents in the brain via magnetoencephalography
• Inverse dipole source problem for time-harmonic Maxwell equations: algebraic algorithm and Hölder stability
• Thermoacoustic tomography with an arbitrary elliptic operator
• Fourier method for solving the multi-frequency inverse source problem for the Helmholtz equation
• Application of inverse source concepts to photoacoustic tomography
• The inverse source problem for Maxwell's equations
• Inverse acoustic and electromagnetic scattering theory
• Identification of dipole sources in a bounded domain for Maxwell's equations.

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