Acoustics: Sound Fields, Transducers and Vibration, 2nd Edition

12.4. Scattering from a rigid sphere by a point source

Refer to Fig. 12.6. Let a point source of volume velocity U ˜ 0 be located at a distance d from a sphere of radius R. We wish to calculate the resultant pressure field p ˜ ( r , θ ) at a distance r from the center of the sphere and at an angle θ with the axis passing through the point source and center of the sphere. The distance r ₁ between the observation point and the point source is given by

Figure 12.6 Geometry of point source and sphere.