Abstract
The effect of boundaries on the spatial correlation of noise fields is investigated. Two types of noise fields are considered: namely, a volume-noise model and a surface-noise model. The volume-noise model consists of a field of plane waves, equally likely in all directions. This homogeneous isotropic noise field is modified by the addition of a perfectly reflecting soft surface. The addition of the boundary results in a nonisotropic nonhomogeneous wave field. Equations for the spatial correlation are obtained, and curves are drawn showing the dependence of spatial correlation on the orientation of the point receivers and the distance from the soft surface. This analysis is repeated for the modification of a hard bottom, and the spatial correlation results are similar to that found for the soft-surface case. The second noise model consists of directional noise sources on the surface of the ocean. A hard bottom is considered, and it is assumed that the water is deep. Equations for the spatial correlation are obtained as a function of various parameters. Curves are drawn, and the spatial correlation is shown to depend on the directionality of the noise sources, the orientation of the point receivers, and the distance of the receivers from the bottom.
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