Characteristics of the reflection and refraction of acoustic waves at normal incidence on the interface between “pure” and bubbly liquids

The characteristics of the reflection and refraction of harmonic waves at its normal incidence on an interface between a “pure” liquid and liquid with bubbles filled with a vapor-gas mixture have been studied. The influence of variations of equilibrium temperature $T_0$ of a system in the range $300 \le T_0 \le 373$ K for two initial bubble sizes $a_0 = 10^{-6}$ and $10^{-3}$ m has been numerically analyzed. The effect of the perturbation frequencies on the reflection coefficient and refraction index at normal incidence has been studied. We have shown that the condition of total internal reflection can be fulfilled by the incidence of a wave from a bubbly liquid at the interface.