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A note on diffraction by a right-angled wedge

Published online by Cambridge University Press:  24 October 2008

W. E. Williams
W. E. Williams
Affiliation:
University of Liverpool
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Extract

It has been shown in recent years ((5)–(8), (10)) that it is possible to obtain closed form solutions for the time harmonic wave equation when a linear combination of the wave function and its normal derivative is prescribed on the surface of a wedge. Boundary-value problems of this type occur in the problem of diffraction by a highly conducting wedge or by a wedge whose surfaces are thinly coated with dielectric. In certain circumstances such surfaces can support surface waves and one important aspect of the solution of the boundary-value problem is the determination of the amplitude of the surface wave excited.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 1 , January 1965 , pp. 275 - 278
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

(1)Karp, S. N. and Karal, F. C.Quart. Appl. Math. 20 (1962), 97–106.Google Scholar
(2)Karp, S. N. and Karal, F. C.Quart. Appl.Math. 18 (1960), 235–243.CrossRefGoogle Scholar
(3)Karp, S. N. and Karal, F. C.Comm. Pure Appl.Math. 12 (1959), 435–455.CrossRefGoogle Scholar
(4)Karp, S. N. and Karal, F. C.Diffraction of a plane wave by a right-angled wedge (Res. Rep. EM - 123; New York Univ., 1959).Google Scholar
(5)Lauwerier, H. A.Nederl. Akad. Wetensch. Proc. Ser. A 62 (1959), 475–488.CrossRefGoogle Scholar
(6)Lebedev, N. N. and Skalskaya, I. P.Soviet Physics Tech. Phys. 7 (1962), 867–874.Google Scholar
(7)Malyuzhinetz, G. D.Soviet Physics Accoust. 1 (1955), 240–248.Google Scholar
(8)Senior, T. B. A.Comm. Pure Appl. Math. 12 (1959), 339–372.CrossRefGoogle Scholar
(9)Stoker, J. J.Quart. Appl. Math. 5 (1947), 1–54.CrossRefGoogle Scholar
(10)Williams, W. E.Proc. Roy. Soc. Ser. A 252 (1959), 376–393.Google Scholar
(11)Williams, W. E.Proc. Cambridge Philos. Soc. 55 (1959), 195–209.CrossRefGoogle Scholar