Acoustic Radiation from Two Spheroids Available to Purchase

The acoustic radiation from two spheroids whose surface normal velocity distributions are specified is calculated using a Green's function approach. To simplify the analysis only axially symmetrical problems are considered. The necessary Green's function is expanded in spheroidal wave functions about both spheroids. The unknown expansion coefficients are determined from the boundary condition that the normal derivative vanishes over both surfaces. An addition theorem which expresses spheroidal wave functions in one coordinate system in terms of spheroidal wave functions in another coordinate system was developed to facilitate application of this boundary condition. Numerical results for several different two‐spheroid configurations and velocity distributions are presented and discussed. The straightforward extension to nonaxisymmetrical problems and to more than two spheroids is also discussed.