Hostname: page-component-cd4964975-8cclj Total loading time: 0 Render date: 2023-03-31T12:12:13.870Z Has data issue: true Feature Flags: { "useRatesEcommerce": false } hasContentIssue true

A simplified approach to a three-part Wiener-Hopf problem arising in diffraction theory

Published online by Cambridge University Press:  24 October 2008

A. Chakrabarti
Department of Applied Mathematics, Indian Institute of Science, Bangalore 560012, India


A direct and simple approach, utilizing Watson's lemma, is presented for obtaining an approximate solution of a three-part Wiener-Hopf problem associated with the problem of diffraction of a plane wave by a soft strip.

Research Article
Copyright © Cambridge Philosophical Society 1987

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.)



[1]Abrahams, I. D.. Scattering of sound by large finite geometries. IMAJ. Appl. Math. 29 (1982), 7997.CrossRefGoogle Scholar
[2]Chakrabarti, A.. Diffraction by a uni-directionally conducting strip. Ind. J. Pure Appl. Math. 8 (1977), 702717.Google Scholar
[3]Chakrabarti, A.. Diffraction by a strip under mixed boundary conditions. J. Ind. Inst. Sci. Section B 61 (1979), 163176.Google Scholar
[4]Chakrabarti, A. and Sastry, V. V. S. S.. A note on diffraction by a strip under mixed boundary conditions. J. Ind. Inst. Sci. B 62 (1980), 2533.Google Scholar
[5]Chakrabarti, A. and Dowerah, S.. Diffraction by a periodically corrugated strip. J. Tech. Phys. 25 (1984), 113126.Google Scholar
[6]Faulkner, T. R.. Diffraction of an electromagnetic plane wave by a metallic strip. J. Inst. Math. Appl. 1 (1965), 149165.CrossRefGoogle Scholar
[7]Jones, D. S.. The Theory of Electromagnetism (Pergamon Press, 1964).Google Scholar
[8]Jones, D. S.. Diffraction by a waveguide of finite length. Proc. Cambridge Philos. Soc. 48 (1952), 118134.CrossRefGoogle Scholar