. Acoustic scattering in the ocean. Project TRIDENT; Underwater acoustics; Sound-waves. III-72 for periodic surfaces and could therefore be used as well for the more or less cnoidal surfaces* to be expected from the theory of propagation of surface waves. Marsh, however, obtains an approximate solution in terms of the correlation func- tion (or equivalently the spectrum) of the surface. 1. Periodic Surfaces When the surface S(x,y) is periodic, the scattered wave p can be represented by the superposition of a countable number of plane reflected waves. In other words, the function 0 (k , [i) bec
. Acoustic scattering in the ocean. Project TRIDENT; Underwater acoustics; Sound-waves. III-72 for periodic surfaces and could therefore be used as well for the more or less cnoidal surfaces* to be expected from the theory of propagation of surface waves. Marsh, however, obtains an approximate solution in terms of the correlation func- tion (or equivalently the spectrum) of the surface. 1. Periodic Surfaces When the surface S(x,y) is periodic, the scattered wave p can be represented by the superposition of a countable number of plane reflected waves. In other words, the function 0 (k , [i) becomes discrete. This may be seen as follows. For simplicity in the argument, let us restrict ourselves to a "cor- rugated" periodic surface, generated by straight line generators parallel to the y-axis and periodic with period % in the x direction. The geometry is illustrated in Figure 2 = S(X) u. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Meyer, R. F; Romberg, B. W; Arthur D. Little, Inc. Cambridge, Mass. : Arthur D. Little, Inc.
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