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Waves below first cutoff in a duct

Published online by Cambridge University Press:  17 February 2009

Rodney F. Davidson
Rodney F. Davidson
Affiliation:
P. O. Box 366, Mentone, Victoria 3194, Australia.
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Abstract

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The two-dimensional Helmholtz equation is studied for an infinite region with two semi-infinite plates extending to infinity in opposite directions and a finite duct in the overlapping region. The solution technique leads to coupled Wiener-Hopf equations, and subsequently to an infinite set of simultaneous linear equations. As an example, an asymptotic expansion is calculated and graphed for the case when the duct length divided by duct width is large enough to ensure damping of all but the zero mode wave in the duct.

Type
Research Article
Information
The ANZIAM Journal , Volume 29 , Issue 4 , April 1988 , pp. 448 - 460
Copyright
Copyright © Australian Mathematical Society 1988

References

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