2.7. The Pekeris Channel

In 1948, Pekeris published a normal-mode analysis [73] of the sound field from a point source in a shallow ocean channel overlying a semi-infinite fluid basement. He took both regions to be homogeneous, with uniform sound speed and density, (ρ1,c1) and(ρ2,c2), in the upper and lower fluid, respectively. The solution for the field in both regions can be obtained using the integral transform techniques developed above, provided that the boundary conditions—continuity of pressure and continuity of normal component of particle velocity—are handled appropriately. The geometry for the problem is illustrated in Fig. 2.23 showing a channel of depth h in which the source and receiver are at depth z and z, respectively, and separated ...

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