Mathematical basis of scattering problems from penetrable obstacles and cracks

DOI10.1063/1.3525831zbMath1314.78010OpenAlexW2081594068MaRDI QIDQ5255526

Mao Yao, Guozheng Yan

Publication date: 15 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3525831

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Weak solutions to PDEs (35D30)

Related Items (2)

The direct scattering problem for a crack buried in a piecewise homogenous medium ⋮ Boundary integral method for scattering problems with cracks buried in a piecewise homogeneous medium

Cites Work

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• Inverse acoustic and electromagnetic scattering theory.
• Mixed boundary integral methods for Helmholtz transmission problems
• Conditional stability estimation for an inverse boundary problem with non-smooth boundary in $\mathcal {R}^3$
• The direct and inverse scattering problems for partially coated obstacles
• On the inverse acoustic scattering problem by an open arc: the sound-hard case
• The linear sampling method for cracks
• An integral equation method for the electromagnetic scattering from cavities
• Fréchet differentiability of the far field operator for scattering from a crack
• A linear sampling method for inverse scattering from an open arc

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