Abstract:
In paper the problem of reflecting a plane harmonic sound wave from a flat surface having a cylindrical protrusion is considered. It is assumed that the flat surface and the surface of the projection are absolutely rigid. An incident plane sound wave propagates perpendicular to the generatrix of a cylindrical projection in a half-space filled with a homogeneous ideal compressible liquid.
An analytical solution of the problem is obtained by the integral method of least squares. The solution is sought in the form of a truncated row by wave cylindrical functions. To fulfill the boundary conditions on a flat surface and a cylindrical projection the functional is constructed and an approximate solution minimizing its is found.
The results of numerical calculations of the directional patterns of the reflected acoustic field in the far zone are presented.
Keywords:reflection of sound, flat surface, cylindrical protrusion.
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