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The Quarterly Journal of Mechanics and Applied Mathematics 1965 18(1):107-120; doi:10.1093/qjmam/18.1.107
© 1965 by Oxford University Press
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DIFFRACTION BY TWO COAXIAL APERTURES

D. P. THOMAS

( Dept. of Applied Mathematics, The University Liverpool, 3. )

In this paper diffraction of small-amplitude acoustic waves by two parallel, hard, plane screens containing two coaxial, circular apertures is investigated. The problem is shown to depend on the solutions of a pair of simultaneous Fredholm integral equations of the second kind.

In the special case when the apertures are equal and the incident wave is a low-frequency axisymmetric plane wave, an approximation to the plane wave transmission coefficient is calculated.


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