Fast identification of short, sound-soft open arcs by the orthogonality sampling method in the limited-aperture inverse scattering problem

DOI10.1016/j.aml.2020.106556zbMath1448.78033OpenAlexW3033101334MaRDI QIDQ2006002

Seongje Chae, Chi Young Ahn, Won-Kwang Park

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106556

zbMATH Keywords

simulation resultsBessel functionslimited-aperture inverse scattering problemnon-iterative techniquesound-soft arcs

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05) Numerical methods for integral equations (65R20) White noise theory (60H40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

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Cites Work

• Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks in full- and limited-view inverse scattering problems
• Detection of small inhomogeneities via direct sampling method in transverse electric polarization
• Application and analysis of direct sampling method in real-world microwave imaging
• Special section: Testing inversion algorithms against experimental data
• Asymptotic Imaging of Perfectly Conducting Cracks
• Multi-frequency orthogonality sampling for inverse obstacle scattering problems
• A study on orthogonality sampling
• Inverse scattering from an open arc
• On the inverse acoustic scattering problem by an open arc: the sound-hard case

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