Abstract

The diffraction of cylindrical electromagnetic waves by a slit in an infinitely thin, perfectly conducting screen and also by a perfectly conducting ribbon is studied. The problems are formulated in elliptic-cylinder coordinates and solved in terms of Mathieu functions. Both Dirichlet and Neumann boundary conditions are investigated. The scattered intensity in the far field and total cross section are obtained. Typical numerical results are presented for both the long-wave and medium-wave regions.

© 1965 Optical Society of America

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