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Diffraction of a Plane Step Pulse by a Perfectly Conducting Circular Cylinder

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Abstract

Diffraction of a step pulse by a perfectly conducting circular cylinder is studied using the methods of the Laplace transform. It is shown that the presence of a branch point in the complex-frequency plane results in the failure of Huygens’ principle. An expression is obtained for the transient induced current on the cylinder.

© 1965 Optical Society of America

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