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Diffraction by a perfectly conducting wedge in an anisotropic plasma

Published online by Cambridge University Press:  24 October 2008

T. R. Faulkner
Affiliation:
Department of Applied Mathematics, University of Liverpool

Summary

The problem considered is the diffraction of an electromagnetic wave by a perfectly conducting wedge embedded in a plasma on which a uniform magnetic field is impressed. The plasma is assumed to behave as an anisotropic dielectric and the problem is reduced, by employing a contour integral representation for the solution, to solving a difference equation. Surface waves are found to be excited on the wedge and expressions are given for their amplitudes.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

(1)Barnes, E. W.Proc. London Math. Soc. (1), 31 (1899), 358381.CrossRefGoogle Scholar
(2)Chambers, Ll. G.Proc. Edinburgh Math. Soc. (2), 14 (1964), 2531.CrossRefGoogle Scholar
(3)Chambers, Ll. G.Proc. Edinburgh Math. Soc. (2), 10 (1954), 9299.CrossRefGoogle Scholar
(4)Crease, J.J. Fluid Mech. 4 (1958), 306320.CrossRefGoogle Scholar
(5)Ginzburg, V. L.Propagation of electromagnetic waves in a plasma (North Holland, 1961).Google Scholar
(6)Jull, E. V.Canadian J. Phys. 42 (1964), 14551468.CrossRefGoogle Scholar
(7)Seshadri, S. R.I.E.E.E. Trans. Micro. Theory & Tech. 10 (1962), 573578.CrossRefGoogle Scholar
(8)Seshadri, S. R.I.E.E.E. Trans. Antennas & Propagation. AP-11 (1963), 570573.CrossRefGoogle Scholar
(9)Seshadri, S. R. and Rajagopal, A. K.I.E.E.E. Trans. Antennas & Propagation. AP-11 (1963), 497502.CrossRefGoogle Scholar
(10)Wilcox, C. R.Math. Res. Cent. Wisconsin M.R.C. 388 (1963).Google Scholar
(11)Williams, W. E.Quart. J. Mech. Appl. Math. 18 (1965), 121128.CrossRefGoogle Scholar
(12)Williams, W. E.Proc. Roy. Soc. Ser. A 252 (1959), 376393.Google Scholar
(13)Williams, W. E.Quart. J. Mech. Appl. Math. 13 (1960), 278284.CrossRefGoogle Scholar