Applied Science and Computer Mathematics

Plane Waveguide with Anisotropic Bottom

  • By Alexander Kleshchev
  • Applied Science and Computer Mathematics, 2 (2) (2021), 1-10

Abstract

Based on the method of imaginary sources and imaginary scatterers the solution to the diffraction problem of sound pulse signals at ideal (soft) prolate spheroid, were putted in the plane waveguide with the elastic bottom. In the work is proved that with such a formulation of problems eliminated the 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 imaginary sources with small numbers experiencing the effect of total internal reflection, as the result of the reflection coefficient V by the hard elastic bottom is complex and the real part of V is close to 1,0 which corresponds V absolutely hard bottom. Found sequences of reflected pulses for the elastic hard bottom and the absolutely hard bottom floor confirmed this approach.

Keywords: scatterer, imaginary source, diffraction, anisotropic elastic bottom, plane waveguide.