Abstract
It is consider that, from the standpoint of the law of conservation of energy, the process of converting sound wave falls on the boundary between two spaces in two, leaving the boundary, reflected and passage. It is assumed that the simultaneous presence of three waves is impossible, and that the process of converting one wave in two waves occurs instantaneously. Based on this concept, enter the following boundary conditions for the calculation of amplitudes (coefficients) of the reflected and passage waves. The initial phases of the reflected and passage waves coincide with the phase of the falling wave. The energy of the falling wave is equal to the sum of the energies of the reflected and passage waves. The normal component velocity amplitude of the particle of the liquid under the influence of the falling wave is equal to the sum of the normal component of particle velocity amplitudes of the reflected and passage waves. It was found that the character of dependence of the reflection coefficient on the angle of departure of the initial wave is the same as in the traditional formulas, but the coefficient of passage does not exceed unity. Calculations of reflection and passage coefficients for different values of the refractive coefficient at the boundary between two homogeneous spaces as well as the canonical form of the waveguide, wherein the speed of sound which is minimum at predetermined depth is carried out.
Highlights
One of the problems is still causing a number of questions; it is the calculation of the coefficients of reflection and passage of sound waves at the boundary of two liquid homogeneous spaces with different densities and speeds of sound
On the basis of the law of conservation of energy formulas for the reflection and transmission coefficients of sound waves are obtained at the boundary of uniform spaces other than the traditional ones
It was found that the nature of the reflection coefficient depends on the sound speed of the space in which the source is situate, more or less the speed of sound, and the formula for the coefficients for both cases are the same
Summary
One of the problems is still causing a number of questions; it is the calculation of the coefficients of reflection and passage of sound waves at the boundary of two liquid homogeneous spaces with different densities and speeds of sound. The fundamental equations of the propagation of sound waves in a compressible fluid are contained in the monograph [2] These equations are obtained for the oscillation motion of a fluid under the action of an acoustic wave under the assumption that the changes the pressure p and density ρ is much smaller than their equilibrium values. The equations for determining the functions p and v, describing the propagation of sound waves in the fluid is obtained After these changes in the equations of motion come in two macroscopic quantities—the average value of the density, which will be denoted by ρ0, and the speed of sound c. Formulas for CR and CP are obtained using only the oscillation function of velocity of fluid v
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