There is a new method of calculating the trajectory of sound waves (rays) in layered stratified\nspeed of sound in ocean without dispersion. A sound wave in the fluid is considered as a vector.\nThe amplitudes occurring at the boundary layers of the reflected and refracted waves are calculated\naccording to the law of addition of vectors and using the law of conservation of energy, as\nwell as the laws that determine the angles of reflection and refraction. It is shown that in calculating\nthe trajectories, the reflected wave must be taken into account. The reflecting wave�s value\nmay be about 1 at certain angles of the initial wave output from the sours. Reflecting wave forms\nthe so-called water rays, which do not touch the bottom and the surface of the ocean. The conditions\nof occurrence of the water rays are following. The sum of the angles of the incident and refracted\nwaves (rays) should be a right angle, and the tangent of the angle of inclination of the incident\nwave is equal to the refractive index. Under these conditions, the refracted wave amplitude\nvanishes. All sound energy is converted into the reflected beam, and total internal reflection occurs.\nIn this paper, the calculation of the amplitudes and beam trajectories is conducted for the\ncanonical type of waveguide, in which the speed of sound is asymmetric parabola. The sound\nsource is placed at the depth of the center of the parabola. Total internal reflection occurs in a\nnarrow range of angles of exit beams from the source 43 - 45. Within this range of angles, the\nwater rays form and not touch the bottom and surface of ocean. Outside this range, the bulk of the\nbeam spreads, touching the bottom and the surface of the ocean. When exit corners, equal and\ngreater than 77, at some distance the beam becomes horizontal and extends along the layer,\nwithout leaving it. Calculation of the wave amplitudes excludes absorption factor. Note that the\nformula for amplitudes of the sound waves applies to light waves.
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