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The Quarterly Journal of Mechanics and Applied Mathematics 1966 19(2):233-245; doi:10.1093/qjmam/19.2.233
© 1966 by Oxford University Press
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DIFFRACTION BY A MASKED APERTURE

D. P. THOMAS {dagger}

( Department of Applied Mathematics, The University Sheffield, 10 )

The paper deals with the diffraction of time-harmonic small-amplitude acoustic waves by a composite obstacle. The obstacle is a hard disk and a hard screen containing a circular aperture that is coaxial with the disk. A standard technique is used to derive simultaneous Fredholm integral equations of the second kind that govern the problem. The plane wave transmission cross-section and the far-field amplitude of the diffracted wave are considered.

The integral equations are solved by iteration when the incident wave is a low-frequency axisymmetric plane wave, the disk is a large distance from the screen, and the disk and the aperture have equal radii. In this special case, an approximation to the transmission cross-section is calculated.


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