IDENTIFICATION OF THE FRONT ANGLE OF A PLANE ACOUSTIC OBLIQUE PRESSURE WAVE ON CONVEX SURFACES WITH THE USE OF ANALYTICAL SOLUTION.

An inverse unsteady boundary value problem of a plane oblique pressure wave diffraction on a convex surface in the form of a parabolic cylinder is considered. At the same time, approximate models of the interaction of a wave with a rigid obstacle in a liquid are constructed, based on the hypothesis of a thin layer, which makes it possible to obtain fundamental solutions in a closed-form. To obtain an analytical solution for the direct problem, a non-stationary diffraction problem for an acoustic medium is solved using the transient function of the obstacle surface influence. The operational method is used. In the inverse problem, the angle of the front of the oblique wave is determined based on the measured pressure in the reflected and incident waves on the body surface using the least squares method. Among the results of the study, an algorithm was proposed for solving the inverse boundary value problem of diffraction of a plane oblique pressure wave on a rigid obstacle in the form of a parabolic cylinder by determining the angle of the oblique wave front. [ABSTRACT FROM AUTHOR]