Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-19T13:25:34.806Z Has data issue: false hasContentIssue false

On cylindrical waves in stratified media: high frequency refraction and diffraction at a plane interface

Published online by Cambridge University Press:  24 October 2008

I. Roebuck
Affiliation:
Department of Mathematics, The University, Dundee†

Extract

Introduction. The problem of the scattering of high-frequency waves, which emanate from a line source in a homogeneous isotropic dielectric medium and impinge upon a cylindrical obstacle, has been attacked in a variety of ways. In certain cases, where both the shape of the obstacle and the conditions to be satisfied on its boundary are particularly convenient, an exact solution may be found by separation of the wave equation (see, for example, Marcuvitz (l)), but in general some form of approximation is necessary to obtain an explicit answer.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1970

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Marcuvitz, N.Comm. Pure Appl. Math. 4 (1951), 263.CrossRefGoogle Scholar
(2)Felsen, L. B.Proc. Symposium on Quasi-Optics (Brooklyn, 1962), pp. 141.Google Scholar
(3)Jones, D. S.Phil. Trans. Roy. Soc. London Ser. A 255 (1963), 341.Google Scholar
(4)Brekhovskikh, L.Waves in layered media (Academic Press, 1960).Google Scholar
(5)Kline, M. and Kay, I. W.Electromagnetic theory and geometrical optics (John Wiley, 1965).Google Scholar
(6)MacDonald, H. M.Phil. Trans. Roy. Soc. London Ser. A 212 (1913), 299.Google Scholar
(7)Eedelyi, A.Asymptotic expansions (Dover, 1958).Google Scholar
(8)Ludwig, D.Comm. Pure Appl. Math. 19 (1966), 215.CrossRefGoogle Scholar
(9)Abramowitz, M. and Stegun, , I. Handbook of mathematical functions (Dover, 1965).Google Scholar
(10)Seckler, B. D. and Keller, J. B.J. Acoust. Soc. Amer. 31 (1959), 192.CrossRefGoogle Scholar
(11)Gbimshaw, R.Proc. Cambridge Philos. Soc. 60 (1964), 840.Google Scholar