Consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open crack and a bounded domain in silver lining herbs kidney support 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 here given on and.
Applying potential theory, the problem can be reformulated as a boundary integral system.We obtain the existence and uniqueness of a solution to the system by using Fredholm theory.