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Diffraction by two parallel planes of finite length

Published online by Cambridge University Press:  24 October 2008

W. E. Williams
W. E. Williams
Affiliation:
Mathematics DepartmentUniversity of Manchester
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Abstract

The diffraction of a plane harmonic electromagnetic wave by two parallel, perfectly conducting planes of infinite width and finite length is considered. The wave is assumed to be polarized perpendicular to the edges of the plane, and thus the problem can also be regarded as that of diffraction of a plane sound wave. Two integral equations are obtained, and the equations are solved approximately when the length of the planes is large compared with the wave-length. The resonance of the system is also considered and an equation obtained for the resonant lengths. This equation is solved by an approximation depending on the assumption that twice the product of the wave number (k) and the resonant length (l) is always large.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 50 , Issue 2 , April 1954 , pp. 309 - 318
Copyright
Copyright © Cambridge Philosophical Society 1954

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References

REFERENCES

(1)Chester, W.Phil. Mag. 41 (1950), 11–33.CrossRefGoogle Scholar
(2)Jones, D. S.Proc. Camb. phil. Soc. 48 (1962), 118–34.CrossRefGoogle Scholar
(3)Jones, D. S.Proc. roy. Soc. A, 217 (1953), 153–75.Google Scholar
(4)Jones, D. S.Quart. J. Mech. 3 (1950), 420–34.CrossRefGoogle Scholar