Abstract
The problem of the scattering of a plane wave by a general slender body of arbitrary cross section with a constant surface impedance is treated by a formalism based on the matched asymptotic method. It is shown that the scattered pressure may be determined by the resolution of a set of 2‐D problems when using the slender‐body approximation that is valid for wavelengths of the order of magnitude or greater than the characteristic cross‐section length of the body. In the case of axisymmetric bodies, an expression for the scattered field can be obtained explicitly. The contributions of the insonified end section are analyzed from a paraboloidal geometry model, and simplified solutions are proposed for rigid and soft conditions. Some theoretical and numerical results for the farfield directivity are presented to illustrate the theory.
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