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V. A. Zverev, V. P. Ivanov and G. K Ivanova, “Caustics in the Underwater Channel and Their Connection with the Wave-Front of Point Source,” Proceedings of the 13th L. M. Brekhovskikh’s Conference Ocean Acoustics, Moscow, 2011, pp. 49-52.

has been cited by the following article:

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

  AUTHORS: V. P. Ivanov, G. K. Ivanova

  KEYWORDS: Sound Rays; Material Particle; Analogy; Hamilton Equations

  JOURNAL NAME: Open Journal of Acoustics, Vol.3 No.1, March 29, 2013

  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, analytical 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: first—traditional, under law Snelius, and second—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 observed.