Some Numerical Techniques and Their Use in the Extension of T-Matrix and Null-Field Approaches to Scattering

摘要

Acoustic, electromagnetic and elastic scattering have been described by the T-matrix method of Waterman. High-frequency calculations and the description of scattering from general bounded surfaces can give rise to large sets of basis states, which in turn necessitate computation of large ill-conditioned matrices. Difficulties in handling these matrices place limitation on the T-matrix and null-field methods. A number of numerical and theoretical techniques are presented which overcome these difficulties and extend the range of applicability of these methods beyond the conventional approach. Keyword: reprints. (Author)