A Solution of the System of Partial Differential Equations Which Describe the Propagation of Acoustic Pulses in Layered Fluid Media,

Abstract

The paper presents an exact solution of the system of partial differential equations which describe the propagation of sound waves in ideal fluid media of three homogeneous layers separated by parallel plane boundaries. The problem is generalized to the case of N layers. The solution is derived using a Laplace transform method developed by L. Cagniard. The method of separation of variables is used to find an eigenfunction expansion for the transformed problem. Then using several changes of integration variables, the inverse transform is obtained by direct identification without recourse to the complex Laplace transform inversion integral. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 17, 1970
Accession Number
AD0717345

Entities

People

  • James R. Britt

Organizations

  • Naval Ordnance Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Waves
  • Boundaries
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Identification
  • Integrals
  • Inversion
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables
  • Sound Waves

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.