Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-26T05:52:47.291Z Has data issue: false hasContentIssue false
  • English
  • Français

Equivalence relations in diffraction theory†

Published online by Cambridge University Press:  24 October 2008

S. N. Karp  and
W. Elwyn Williams
S. N. Karp
Affiliation:
Institute of Mathematical Sciences New York University
W. Elwyn Williams
Affiliation:
Institute of Mathematical Sciences New York University
Get access Rights & Permissions [Opens in a new window]

Abstract

Certain equivalence relationships between different problems occurring in diffraction theory are established. The method used is essentially Schwarz's principle of analytic continuation by reflexion across a straight boundary. An explicit solution is also obtained by this method for a plane wave normally incident on a T-shaped structure.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 3 , July 1957 , pp. 683 - 690
Copyright
Copyright © Cambridge Philosophical Society 1957

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)Baldwin, G. L. and Heins, A. E., On the diffraction of a plane wave by an infinite plane grating. Math. Scand. 2 (1954), 103.Google Scholar
(2)Bouwkamp, C. J.Diffraction theory. Rep. Progr. Phys. 17 (1954), 35.CrossRefGoogle Scholar
(3)Carlson, J. F. and Heins, A. E.The reflexion of an electromagnetic plane wave by an infinite set of plates. Quart. Appl. Math. 4 (1947), 313.Google Scholar
(4)Marcuvitz, N.Wave guide handbook (New York, 1951).Google Scholar