Abstract
A problem of diffraction of a wave by a pair of semi-infinite screens is considered. The screens are lined with two different wave bearing materials that can support surface waves. This type of problem arises in the propagation and, scattering of acoustic and electromagnetic waves by surface wave guides. To be specific, we shall couch our problem in terms of acoustics. These diffraction problems for two parallel wave bearing screens lead to boundary value problems which are governed by the Helmholtz equation, and some specific third kind boundary conditions. Such problems are shown to be well-posed for finite energy space solutions. Their representation is given by means of the canonical factorization of a non-rational matrix function.
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This work was supported by DFG grant KO 634/32-1
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Meister, E., Rawlins, A.D. & Speck, F.O. Double-knife EDGE problems with elastic/plastic type screens. Integr equ oper theory 14, 373–389 (1991). https://doi.org/10.1007/BF01218503
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DOI: https://doi.org/10.1007/BF01218503