Hostname: page-component-84b7d79bbc-g5fl4 Total loading time: 0 Render date: 2024-07-28T04:01:25.613Z Has data issue: false hasContentIssue false
  • English
  • Français

Diffraction of a high-frequency plane electromagnetic wave by a perfectly conducting circular disc

Published online by Cambridge University Press:  24 October 2008

D. S. Jones
D. S. Jones
Affiliation:
University of Keele
Get access Rights & Permissions [Opens in a new window]

Abstract

A method already developed for the diffraction of scalar waves by a circular disc is generalized so as to be applicable to the diffraction of an electromagnetic wave. The generalization leads, in a straightforward manner, to an asymptotic development of the current density on the disc at high frequencies. The principal complication which arises is in solving three simultaneous linear equations for three constants which occur in the method of solution. Detailed calculations are given for a normally incident plane wave.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 1 , January 1965 , pp. 247 - 270
Copyright
Copyright © Cambridge Philosophical Society 1965

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)Andrejewski, W.Strenge Theorie der Beugung ebener elektromagnetiseher Wellen an der vollkommen leitenden Kreisscheibe und an der kreisförmigen Öffnung im vollkommen leitenden ebenen Schirm. Numerisehe Ergebnisse. Naturwissenschaften 38 (1951), 406–407.CrossRefGoogle Scholar
(2)Andrejewski, W.Die Beugung elektromagnetischer Wellen an der Leitenden Kreisscheibe und an der kreisförmigen Öffnung im leitenden ebenen Schirm. Z. angew Phys. 5 (1953), 178.Google Scholar
(3)Bazer, J. and Hochstadt, H.Diffraction of scalar waves by a circular aperture. II. Comm. Pure Appl. Math. 15 (1962), 1–33.CrossRefGoogle Scholar
(4)Belkina, M. G.Diffraction of electromagnetic waves by certain bodies of revolution (in Russian; Moscow, 1958).Google Scholar
(5)Clemmow, P. C.Edge currents in diffraction theory. Trans IRE AP-4 (1956), 282–7.Google Scholar
(6)Flammer, C.The vector wave function solution of the diffraction of electromagnetic waves by circular disks and apertures. I. Oblate spheroidal vector wave functions. II. The diffraction problems. J. Appl. Phys. 24 (1953), 1218–1223 and 1224–1231.CrossRefGoogle Scholar
(7)Flammer, C.Radiation from electric and magnetic dipoles in the presence of a conducting circular disk (Tech. Rep. No. 49, Stanford Res. Inst.; 1955).Google Scholar
(8)Inawashiro, S.Diffraction of electromagnetic waves from an electric dipole by a conducting circular disk. J. Phys. Soc. Japan 18 (1963), 273–287.CrossRefGoogle Scholar
(9)Jones, D. S.Diffraction at high frequencies by a circular disc. Proc. Cambridge Philos. Soc. 61 (1965), 223–245.CrossRefGoogle Scholar
(10)Jones, D. S.The theory of electromagnetism (Pergamon; London, 1964).Google Scholar
(11)Jones, D. S.Diffraction by an edge and by a corner. Quart. J. Mech. Appl. Math. 5 (1952), 363–78.CrossRefGoogle Scholar
(12)Jones, D. S.A new method for calculating scattering, with particular reference to the circular disc. Comm. Pure. Appl. Math. 9 (1956), 713–746.CrossRefGoogle Scholar
(13)Jones, D. S.On the scattering cross section of an obstacle. Phil. Mag. 46 (1955), 957–962.CrossRefGoogle Scholar
(14)Levine, H. and Wu, T. T.Diffraction by an aperture at high frequencies (Tech. Rep. No. 71, Stanford Univ.; 1957).Google Scholar
(15)Lure', E. K. A.Diffraction of a plane electromagnetic wave on an ideally conducting circular disc. Soviet Physics Tech. Phys. 4 (1960), 1313–1398.Google Scholar
(16)Meixner, J.Strenge Theorie der Beugung elektromagnetischer Wellen an der vollkommen leitenden Kreisscheibe. Z. Naturf. 3a (1948), 506–518.CrossRefGoogle Scholar
(17)Meixner, J.Theorie der Beugung elektromagnetischer Wellen an der vollkommen leitenden Kreisscheibe und verwandte Probleme. Ann. Physik (6) 12 (1953), 227–236.CrossRefGoogle Scholar
(18)Meixner, J. and Andrejewski, W.Strenge Theorie der Beugung ebener elektromagnet ischer Wellen und der vollkommen leitenden Kreisscheibe und an der kreisformigen Öffnung im vollkommen leitenden ebenen Schirm. Ann. Physik (6) 7 (1950), 157–168.CrossRefGoogle Scholar
(19)Millar, R. F.The diffraction of an electromagnetic wave by a circular aperture. Proc. Inst. Elec. Engrs. C 104 (1957), 87–95.Google Scholar
(20)Millar, R. F.The diffraction of an electromagnetic wave by a large aperture. Proc. Inst. Elec. Engrs, C 104 (1957), 240–250.Google Scholar
(21)MöGlich, F.Beugungserscheinungen an Körpern von ellipsoidiseher Gestalt. Ann. Physik (4) 83 (1927), 609–734.CrossRefGoogle Scholar
(22)Nomura, Y. and Katsura, S.Diffraction of electromagnetic waves by circular plate and circular hole. J. Phys. Soc. Japan 10 (1954), 258–304.Google Scholar
(23)Seshadri, S. R. and Wu, T. T.High-frequency diffraction of plane electromagnetic waves by a circular aperture in an infinite plane screen (Craft Lab. Rep. No. 16; Harvard, 1958).Google Scholar
(24)Watson, G. N.Theory of Bessel functions (Cambridge, 1944).Google Scholar
(25)Williams, W. E.Electromagnetic diffraction by a circular disc. Proc. Cambridge Philos. Soc. 58 (1962), 625–630.CrossRefGoogle Scholar