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- W2073998661 abstract "We consider a kind of scattering problem which models the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open arc and a penetrable obstacle in R2 as cross section, and the open arc is buried in a piecewise homogeneous medium. To this end, we solve a scattering problem for the Helmholtz equation in R2 where the scattering object is a crack Γ which is buried inside the bounded domain D, and we have Dirichlet-Impedance type boundary condition on Γ and transmission boundary condition on the boundary of D. Applying potential theory, the problem can be reformulated as a boundary integral system. We establish the existence and uniqueness of a weak solution to the system by using the modified Fredholm theory." @default.
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- W2073998661 date "2013-05-01" @default.
- W2073998661 modified "2023-10-18" @default.
- W2073998661 title "The direct scattering problem for a crack buried in a piecewise homogenous medium" @default.
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- W2073998661 doi "https://doi.org/10.1063/1.4807329" @default.
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