Accession Number:

ADA045346

Title:

An Extension of Langer's Asymtotic Solution with Applications to Ocean Acoustics.

Descriptive Note:

Doctoral thesis,

Corporate Author:

TEXAS UNIV AT AUSTIN APPLIED RESEARCH LABS

Personal Author(s):

Report Date:

1977-03-01

Pagination or Media Count:

151.0

Abstract:

In this dissertation, Langers asymptotic solution for second order differential equations is applied to the problem of acoustical propagation in the ocean. Langers solution is analogous to the WKB solution, but is developed in terms of the Airy functions. For illustrative cz functions sound velocity vs. depth typical of the deep ocean, the normal mode quantities of group velocity and mode cycle distance are computed using the formulae developed in this report. These are presented in the form of plots of, for example, group velocity versus phase velocity for frequencies in the range 10 Hz to 150 Hz. These plots illustrate the effects of the ocean surface and of anomalous segments of cz upon the mode quantities the most prominent frequency dependent effects occur for modes whose phase velocities are close to the sound velocity at a boundary.

Subject Categories:

  • Physical and Dynamic Oceanography
  • Acoustics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE