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The Limiting Absorption Principle and a Radiation Condition for the Scattering by a Periodic Layer

The Limiting Absorption Principle and a Radiation Condition for the Scattering by a Periodic Layer

Scattering of time-harmonic waves from periodic structures at some fixed real-valued wave number becomes analytically difficult whenever there arise surface waves: These nonzero solutions to the homogeneous scattering problem physically correspond to modes propagating along the periodic structure and clearly imply nonuniqueness of any solution to the scattering problem. In …