Abstract
By employing the null-field approach, the scattering of acoustic waves by an infinite cylinder and a sphere is considered. Sound-hard boundary conditions are assumed and the incident wave is taken as a plane wave. The scattered field is obtained as a complicated mode sum containing the transition matrix of the sphere and the reflection matrix of the cylinder. Also, the transformation functions between the cylindrical and spherical wave functions and the translation functions for the cylindrical wave functions enter into this sum. The farfields are calculated and the implications of energy conservation are explored and used as a numerical check. Numerical results showing the scattering cross section and the farfield amplitude are presented.
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