Propagation of weak disturbances in warm water with air bubbles

Bubbles with a vapor-gas mixture under direct and oblique incidence are studied. A numerical analysis is made of the effect of the initial volumetric gas content $\alpha_{g0}$ for two initial bubble sizes $a_0=10^{-6}$ m and $10^{-3}$ m. The influence of the disturbance frequencies on the reflection and refraction coefficients of sound in direct incidence and on the dependence of the angle of refraction on the angle of incidence is studied.