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On diffracted wave fronts

Published online by Cambridge University Press:  14 November 2011

Peter Wolfe
Peter Wolfe
Affiliation:
Department of Mathematics, University of Maryland, College Park, Maryland 20742, U.S.A.
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Synopsis

In this paper we study the wave equation, in particular the propagation of discontinuities. Two problems are considered: diffraction of a normally incident plane pulse by a plane screen and diffraction of a spherical wave by the same screen. It is shown that when an incident wave front strikes the edge of the screen a diffracted wave front is produced. The discontinuities are precisely computed in a neighbourhood of the edge for a small time interval after the arrival of the incident wave front and a theorem of Hörmander on the propagation of singularities is used to obtain a globalresult.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 84 , Issue 1-2 , 1979 , pp. 35 - 54
Copyright
Copyright © Royal Society of Edinburgh 1979

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