Oscillations of a gas inclusion near an interface

Abstract

The paper fills the gap in studying acoustic manifestations of a gas inclusion near an interface and makes it possible to analytically describe the behavior of a bubble at a small (comparable with its size) distance from the boundary. It is shown that the use of a specific (bispherical) coordinate system allows separation of variables and leads to a modified Rayleigh equation. Explicit dependences of natural frequency and damping on distance to the boundary and on physical parameters of contacting media are obtained.