Analytical regularization based analysis of a spherical reflector symmetrically illuminated by an acoustic beam

A mathematically accurate and numerically efficient method of analysis of a spherical reflector, fed by a scalar beam produced by a complex source-poi nt feed, is presented. Two cases, soft and hard reflector surface, are cons idered. In each case the solution of the full-wave integral equation is red uced to dual series equations and then further to a regularized infinite-ma trix equation. The latter procedure is based on the analytical inversion of the static part of the problem. Sample numerical results for 50-lambda ref lectors demonstrate features that escape a high-frequency asymptotic analys is. (C) 2000 Acoustical Society of America. [S0001-4966(00)00306-4].