Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-25T01:13:56.223Z Has data issue: false hasContentIssue false
  • English
  • Français

Reflected and diffracted fields within a medium formed by a circular cylinder and two planes

Published online by Cambridge University Press:  24 October 2008

Tapendra Nath Maulik
Tapendra Nath Maulik
Affiliation:
Bengal Engineering College, India
Get access Rights & Permissions [Opens in a new window]

Abstract

Green's function for SH-line source inside a wedge shaped medium with its apex removed by a circular cylindrical surface has been obtained. Exact location of the image sources facilitates the determination of the reflexion and diffraction at the circular and also at the plane boundary of the multiple phases clearly. The scattered field from the corner is indicated. The connexion of this solution with that of complete wedge has been shown with suitable contour integrations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 3 , July 1967 , pp. 827 - 850
Copyright
Copyright © Cambridge Philosophical Society 1967

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)Cohen, D. S.Comm. Pure Appl. Math. 17 (1964), 23.CrossRefGoogle Scholar
(2)Duwalo, G. and Jacobs, J. A.Canad. J. Phys. 37 (1959), 109.CrossRefGoogle Scholar
(3)Gilbert, F.J. Acoust. Soc. Amer. 32 (1960), 841.Google Scholar
(4)Hudson, J. A.Geophys. J. 7 (1963), 1.CrossRefGoogle Scholar
(5)Kane, J.Div. Eng. Res. Dev. (1960), reprint no. 26.Google Scholar
(6)Keller, J. B. and Karal, F. C.J. Appl. Phys. 31 (1960), 1039.CrossRefGoogle Scholar
(7)Macdonald, H. M.Proc. London Math. Soc. 26 (1895), 156.Google Scholar
(8)Oberhettinger, F.Comm. Pure Appl. Math. 7 (1954), 551.CrossRefGoogle Scholar
(9)Sommerfeld, A.Partial differential equation in physics (Academic Press; New York, 1949).Google Scholar
(10)Striefer, W. and Kodis, R. D.Quart. Appl. Math. 21 (1964), 285.CrossRefGoogle Scholar
(11)Striefer, W. and Kodis, R. D.Quart. Appl. Math. 23 (1965), 27.CrossRefGoogle Scholar