Calculation of Sound Ray’s Trajectories by the Method of Analogy to Mechanics at Ocean

Abstract

In this paper, one of analogies available in the literature between movement of a material particle and ray propagation of a sound in liquid is used. By means of the equations of Hamilton describing movement of a material particle, ana lytical expression of a tangent to a trajectory of a sound ray at non-uniform ocean on depth is received. The received expression for a tangent differs from traditional one , defined under law Snelius. Calculation of trajectories, and also other characteristics of a sound field is carried out by two methods: fir s t—traditional, under law Snelius, and sec ond—by the analogy to mechanics method. Calculations are made for canonical type of the sound channel. In the region near to horizontal rays , both methods yield close results , and in the region of steep slope , the small distinction is ob served.