Accession Number : AD0717345

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

Corporate Author : NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s) : Britt,James R.

Report Date : 17 NOV 1970

Pagination or Media Count : 45

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)

Descriptors :   (*UNDERWATER SOUND, REFLECTION), (*UNDERWATER EXPLOSIONS, SHOCK WAVES), (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), OCEAN BOTTOM, BOUNDARY VALUE PROBLEMS, INTEGRAL TRANSFORMS, THEOREMS, THESES

Subject Categories : Numerical Mathematics
      Explosions
      Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE