Abstract

Ray acoustics in deep ocean channels is being studied with the specific objective of describing the influence of low-frequency internal waves and surface tides upon multipath propagation. The work is a joint study in which the ray model is coordinated with a fluid dynamical investigation of the effect of internal tides upon deep ocean sound speed stratification. The geometry of the propagation channel consists of parallel boundaries and a composite sound speed profile with straight line segments in the main thermocline and deep water regions, and two hyperbolic cosines in the vicinity of the SOFAR axis with the slopes continuous at all junctions. For arbitrary source and receiver locations, the initial angles of all the ray arrivals were determined. Using closed form expressions for each segment, travel time and spreading loss were calculated from which amplitude and phase can be found. Complete descriptions of the propagation multipaths are given for selected examples which combine the several types of rays encountered in deep ocean transmission. In a subsequent presentation (Part II), the time variations in these multipaths due to tidal fluctuations in the sound structure are discussed.

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