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Equivalence relations in diffraction theory†

Published online by Cambridge University Press:  24 October 2008

S. N. Karp  and
W. Elwyn Williams
S. N. Karp
Affiliation:
Institute of Mathematical Sciences New York University
W. Elwyn Williams
Affiliation:
Institute of Mathematical Sciences New York University
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Abstract

Certain equivalence relationships between different problems occurring in diffraction theory are established. The method used is essentially Schwarz's principle of analytic continuation by reflexion across a straight boundary. An explicit solution is also obtained by this method for a plane wave normally incident on a T-shaped structure.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 3 , July 1957 , pp. 683 - 690
Copyright
Copyright © Cambridge Philosophical Society 1957

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Footnotes

†

The research reported in this article was done at the Institute of Mathematical Sciences, New York University, and has been made possible through support and sponsorship extended by the U.S. Air Force, Air Force Cambridge Research Centre, under Contract No. AF 19(122)·42.

References

REFERENCES

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(2) Bouwkamp, C. J. Diffraction theory. Rep. Progr. Phys. 17 (1954), 35.Google Scholar
(3) Carlson, J. F. and Heins, A. E. The reflexion of an electromagnetic plane wave by an infinite set of plates. Quart. Appl. Math. 4 (1947), 313.Google Scholar
(4) Marcuvitz, N. Wave guide handbook (New York, 1951).Google Scholar