Abstract
The normal-mode solution of the problem of the radiation field of a simple harmonic source in a layered waveguide is extended to the case of small irregularities in the surface. The effect of the irregularities is to decrease the coherence of acoustical propagation and increase the attenuation. The theory is used to calculate the radiation field of a 147.8 cps simple harmonic source in about 20 in of shallow water over a thick layer of unconsolidated sediment. The calculations indicate that the effects of small surface roughness, i.e., rms waveheight about 12 m, are to increase the attenuation as a function of range and to decrease the mode-interference maxima and minima as evidence of the decrease in coherence. The experimental dependence of the acoustical pressure upon source distance similar to that calculated with the theory.
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