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The Diffraction of Transient Electro-Magnetic Waves by a Wedge

Published online by Cambridge University Press:  20 January 2009

A. C. Butcher  and
J. S. Lowndes
J. S. Lowndes
Affiliation:
Armament Research and Development EstablishmentFort HalsteadKent
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Much of the work on the theory of diffraction by an infinite wedge has been for cases of harmonic time-dependence. Oberhettinger (1) obtained an expression for the Green's function of the wave equation in the two dimensional case of a line source of oscillating current parallel to the edge of a wedge with perfectly conducting walls. Solutions of the time-dependent wave equation have been obtained by Keller and Blank (2), Kay (3) and more recently by Turner (4) who considered the diffraction of a cylindrical pulse by a half plane.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 11 , Issue 2 , November 1958 , pp. 95 - 103
Copyright
Copyright © Edinburgh Mathematical Society 1958

References

REFERENCES

(1) Oberhettinger, F., Comm. Pure and Appl. Math., 7 (1954), 551.CrossRefGoogle Scholar
(2) Keller, J. and Blank, A., Comm. Pure and Appl. Math., 4 (1951), 75.CrossRefGoogle Scholar
(3) Kay, I., Comm. Pure and Appl. Math., 6 (1953), 419.CrossRefGoogle Scholar
(4) Turner, R. D., Quart. Appl. Math., 14 (1956), 63.CrossRefGoogle Scholar
(5) Erdelyi, et al. , Tables of Integral Transforms (McGraw-Hill, 1954).Google Scholar
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(7) Watson, G. N., Theory of Bessel Functions (Cambridge, 1944).Google Scholar
(8) Oberhettinger, F., J. Math. Phys., 34 (1956), 245.CrossRefGoogle Scholar