Abstract
The problem of acoustic scattering by an impedance infinite cylinder irradiated by a point source is investigated. A theoretical model has been developed to consider the case of the sound scattered by an impedance cylinder above an outdoor ground surface of finite impedance. The formulation is based on the use of the appropriate wave-field expansions, the classical image source method, and the translational addition theorem for cylindrical wave function. The solutions can be expressed in the form of a multiscattering interaction between the cylinder and the image cylinder near a flat boundary. The effect of boundary impedance on the reflected sound fields is incorporated in the numerical model by using the well-known Weyl–van der Pol formula. The numerical results are compared with the published data. The effects of various source and receiver locations around the cylinder above the impedance boundary on the sound field are also studied.
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