Abstract
A self-consistent scheme is developed to analyze the scattering of waves by a configuration containing a finite number of scatterers. The T matrix obtained using the null field equations is used to characterize the response of a single scatterer to arbitrary excitation. Translation theorems for the spherical basis functions are used not only to express the T matrix of individual scatterers with respect to a common coordinate system, but also to take care of multiple scattering between the scatterers. The formulation given is equally applicable for the scattering of acoustic, electromagnetic, or elastic waves. The scatterers may have different shapes and be of different types; e.g., sound soft, sound hard, or permeable in the acoustic case. Numerical results are presented for the case of two elastic cavities in a solid.
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