Abstract
The paper deals with the diffraction of time-harmonic axisymmetric acoustic waves by a perfectly soft annular spherical cap. An integral equation technique is used to solve this three-part boundary value problem. Formulae are presented for the far field amplitude as well as the scattering cross section for the case when the incident wave is a plane wave travelling along the polar axis towards the convex surface of the annular cap. By taking appropriate limits the solutions for the corresponding problems for an annular circular disk and the whole spherical cap are derived. Numerical results are presented to display the effects of an opening in the cap as well as the curvature of the surface on the value of the scattering cross section. The analysis of the paper is further used to evaluate the capacity of an annular spherical cap in free space.
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