Abstract
A theoretical calculation is given of the surface-pressure correlation function for a rigid, infinitely long cylinder in a three-dimensional diffuse sound field (i.e., a sound field in which waves having all frequencies impinge on the cylinder from all directions). The analysis includes the effects of scattering of the sound waves by the cylinder. A general expression is derived that gives surface pressure spatial correlation as a function of both circumferential and longitudinal separation for any arbitrary distribution of sound amplitude versus frequency. With the aid of a computer, numerical results are obtained for the case of a narrow-band acoustic noise field. These results show a decrease in spatial correlation with increasing circumferential and longitudinal separation , as well as with increasing frequency. The results also indicate that scattering by the cylinder affects the spatial correlation only slightly in the longitudinal direction, but that it affects it considerably in the circumferential direction.
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