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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
(6) Carslaw, H. S. and Jaeger, J. C., Conduction of Heat in Solids (Oxford, 1947).Google Scholar
(7) Watson, G. N., Theory of Bessel Functions (Cambridge, 1944).Google Scholar
(8) Oberhettinger, F., J. Math. Phys., 34 (1956), 245.CrossRefGoogle Scholar