Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-25T14:18:20.772Z Has data issue: false hasContentIssue false
  • English
  • Français

High frequency diffraction by a soft circular disc

II. The plane wave at oblique incidence

Published online by Cambridge University Press:  24 October 2008

J. C. Newby
J. C. Newby
Affiliation:
University of Strathclyde, Glasgow*
Get access Rights & Permissions [Opens in a new window]

Abstract

Initially a general incident field is considered and the equations are split into Fourier components. Each Fourier component gives rise to an integral equation similar to that obtained when investigating diffraction of a normally incident plane wave. After the oblique wave has been specified an analysis similar to that used for the normal wave leads to a solution of the problem containing an infinite number of constants. It is shown, however, that these constants do not affect the leading terms of the high frequency scattering coefficient.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 3 , May 1972 , pp. 545 - 565
Copyright
Copyright © Cambridge Philosophical Society 1972

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)Jones, D. S.Diffraction at high frequencies by a circular disc. Proc. Cambridge Philos. Soc. 61 (1965), 223–245.Google Scholar
(2)Jones, D. S.Diffraction of a high frequency electromagnetic wave by a perfectly conducting circular disc. Proc. Cambridge Philos. Soc. 61 (1965), 247–270.CrossRefGoogle Scholar
(3)Jones, D. S.Diffraction by an edge and by a corner. Quart. J. Mech. Appl. Math. 5 (1952), 363–378.Google Scholar
(4)Jones, D. S.On the scattering cross section of an obstacle. Philos. Mag. 46 (1955), 957–962.CrossRefGoogle Scholar
(5)Levine, H. and Wu, T. T.Diffraction by an aperture at high frequencies (Stanford University Technical Report 71 (1957)).Google Scholar
(6)Newby, J. C. High frequency diffraction by a soft circular disc. I. The plane wave at normal incidence. (To be published.)Google Scholar
(7)Watson, G. N.A treatise on the theory of Bessel functions (C.U.P., 2nd ed. (1944)).Google Scholar