A computational model for sound field absorption by acoustic arrays

In this paper we discuss the sound absorption property of arrays of microacoustic actuators at a control surface. We use the wave equation over the half plane for the velocity potential with a boundary dissipation by a proportional pressure feedback law along the half plane boundary. The feedback gain over the array is described by a distributed shape function. We develop a computational method based on the Fourier transform and employ it for analyzing and evaluating the decay rate of acoustic energy. Specifically, we carry out computations for a diffusive random initial field and report on our resulting numerical findings.