Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-26T13:40:56.874Z Has data issue: false hasContentIssue false
  • English
  • Français

High frequency diffraction by a soft circular disc

I. The plane wave at normal 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

The problem is governed by a Jones integral equation and the solution is shown to depend upon a single function which occurs naturally after a contour deformation has produced extensive cancellation in the work. The far-scattered field off the axis of symmetry is found in detail, yielding terms which are believed to be new.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 3 , May 1972 , pp. 527 - 543
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.CrossRefGoogle Scholar
(2)Jones, D. S.Diffraction of short wavelengths by a rigid circular disk. Quart. J. Mech. Appl. Math. 18 (1965), 191–208.CrossRefGoogle Scholar
(3)Jones, D. S.Diffraction of a high frequency electromagnetic wave by a perfectly conductmg circular disc. Proc. Cambridge Philos. Soc. 61 (1965), 247–270.CrossRefGoogle Scholar
(4)Jones, D. S.On a certain singular integral equation I. J. Mathematical Phys. 43 (1964), 27–33.CrossRefGoogle Scholar
(5)Jones, D. S.On a certain singular integral equation II. J. Mathematical Phys. 43 (1964), 263–273.CrossRefGoogle Scholar
(6)Karp, S. N. and Keller, J. B.Multiple diffraction by an aperture in a hard screen. Optica Acta 8 (1961), 61–71.Google Scholar
(7)Keller, J. B.Diffraction by an aperture I. J. Appl. Phys. 28 (1957), 426–444.CrossRefGoogle Scholar
(8)Keller, J. B.Errata: Diffraction by an aperture. J. Appl. Phys. 29 (1958), 744.CrossRefGoogle Scholar
(9)Keller, J. B., Lewis, R. M. and Seckler, B. D.Diffraction by an aperture II. J. Appl. Phys. 28 (1957), 570–579.CrossRefGoogle Scholar
(10)Levine, H.Diffraction by a circular aperture at high frequencies. (N.Y.U. Res. Rep. EM-84 (1955)).Google Scholar
(11)Levine, H. and Wu, T. T.Diffraction by an aperture at high frequencies (Stanford University Technical Report 71 (1957)).Google Scholar
(12)Watson, G. N.A treatise on the theory of Bessel functions (C.U.P., 2nd ed., (1944)).Google Scholar