Oblique Incidence of a train of Plane Waves on a Semi-Infinite Plane

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Abstract
The problem of the incidence of a train of plane waves on a semi-infinite plane, when the edge of the plane is perpendicular to the direction of the waves, is a two-dimensional one, and was first fully treated in a paper by Sommerfeld. It was also discussed by me in a paper published in the Proceedings of the London Mathematical Society.