Acoustic Diffraction by a Rigid Annular Spherical Cap

[+] Author and Article Information
D. L. Jain, R. P. Kanwal

Department of Mathematics, Pennsylvania State University, University Park, Pa.

J. Appl. Mech 39(1), 139-147 (Mar 01, 1972) (9 pages) doi:10.1115/1.3422602 History: Received December 04, 1970; Online July 12, 2010


The problem of the diffraction of time-harmonic axially symmetric acoustic waves by a perfectly rigid annular spherical cap is solved approximately by an integral equation technique. Formulas are derived for the far-field amplitude as well as the scattering cross section when the incident wave is a plane wave traveling along the polar axis. By taking appropriate limits, the solutions for the corresponding problems for an annular circular disk and a whole spherical cap are also presented.

Copyright © 1972 by ASME
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