Geometrical Acoustics. II. Diffraction, Reflection, and Refraction of a Weak Spherical or Cylindrical Shock at a Plane Interface
- 1 August 1955
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 26 (8) , 961-966
- https://doi.org/10.1063/1.1722145
Abstract
The method of a previous paper is applied to the reflection and refraction of a weak spherical or cylindrical shock wave at a plane interface and by a plane slab. The method is also extended to apply to the diffracted wave which appears in these problems whenever total reflection occurs. From the results the leading terms in the asymptotic expansions for high frequency of the fields produced by periodic point or line sources over a plane interface are also obtained. These terms, which apply to electromagnetic as well as acoustic fields, are in exact agreement with results previously obtained by much more complicated methods.This publication has 4 references indexed in Scilit:
- Solutions of second order hyperbolic differential equations with constant coefficients in a domain with a plane boundaryCommunications on Pure and Applied Mathematics, 1954
- Total reflection of waves from a point sourceCommunications on Pure and Applied Mathematics, 1953
- An asymptotic solution of Maxwell's equationsCommunications on Pure and Applied Mathematics, 1951
- The propagation of steady disturbances in a supersonic stream bounded on one side by a parallel subsonic streamMathematical Proceedings of the Cambridge Philosophical Society, 1948