Analysis of transient wave scattering from rigid bodies using a Burton-Miller approach

Transient scattering from closed rigid bodies can be analyzed using a varie ty of time domain integral equations, e.g., the Kirchhoff integral equation and its normal derivative. Unfortunately, when the spectrum of the inciden t field includes one or more of the resonance frequencies of the correspond ing interior problem, the solutions to these time domain integral equations become corrupted with spurious interior modes. In this article, this pheno menon is demonstrated via numerical experiments, and a Burton-Miller-type t ime domain combined field integral equation is proposed as a remedy. To ver ify that the solutions to this Burton-Miller-type equation are not corrupte d by interior modes, various numerical results are presented. It is anticip ated that this equation, when used in conjunction with fast time domain int egral equation solvers (e.g., plane wave time domain algorithms), will enab le the accurate analysis of transient wave scattering from acoustically lar ge bodies. (C) 1999 Acoustical Society of America. [S0001-4966(99)02811-8].