The Problem of Scattering by a Mixture of Cracks and Obstacles

The Problem of Scattering by a Mixture of Cracks and Obstacles

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Consider the ac30s1 scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open crack and a bounded domain in as cross section.We assume that the crack is divided into two parts, and one of the two parts is (possibly) coated on one side by a material with surface impedance.Different boundary conditions are given on and.Applying potential theory, the problem can be reformulated as a boundary integral system.

We obtain the existence and corvette lanyard uniqueness of a solution to the system by using Fredholm theory.