Abstract

Theoretical boundary element calculations verified that the 2-D Hankel function is a useful and fast approximation for predicting scattering from one-dimensional extruded shapes. Experimental polar response measurements on 1:5 scale models of QRDs and optimized stepped diffusors proposed by Cox [J. Acoust. Soc. Am. 97, 2928–2936 (1995)] verified the increased diffusivity of the stepped diffusors within the frequency range optimized and for the angle of incidence and observer distance used. However, outside this range and at 30° and 60° angles of incidence, the diffusion response for one and two periods of the stepped diffusor is not optimized. Analysis of a faceted half-cylinder, with better diffusivity than the stepped diffusor, reveals the sensitivity and possible limits of the minimization process. Over a broad bandwidth the response for the QRD is better than that of the stepped diffusor at non-normal angles of incidence.

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