Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal

Abstract

Based on the method of imagenary sources and imagenary scatterers is the solution of the problem of the sound diffraction by pulse signals at ideal (soft) prolate spheroid, put in the plane waveguide with the hard elastic bottom. In the work is proved that with such a formulation of problems eliminated possibility of using the method of normal waves because pulses are bundies of energy and can therefore only be distributed to the group velocity which is inherent in just the method of imaginary sources. Calculations made in the article shoved that imagenary sources with smail numbers experienci8ng the effect of total internal reflection, as the result of the reflection coefficient <i>V</i> by the hard elastic bottom is complex and the real part of <i>V</i> is close to 1,0 which corresponds <i>V</i> absolutely hard bottom. Found sequences of reflected pulses for the elastic hard bottom and the absolutely hard bottom floor confirmed this approach. In the final part of the arti8cle on the basis of the received results given by a solution (the method integral equations) is much more complex problem of the diffraction at the elastic non-analytical scatterer, put in the plane waveguide witch the hard elastic bottom.