The propagation of waves from a spherical cavity in an acoustic half-space

Abstract

The propagation of a non-stationary acoustic pressure wave from a spherical cavity situated in a half-space filled with an ideal compressible fluid is considered. An infinite system of algebraic equations is obtained in Laplace transformation image space, the solution of which is found in the form of a series in exponential functions. An infinite system of Volterra integral equations of the second kind in the space of the originals was obtained in /1/ of this problem, and was solved numerically.