An Extension of Langer's Asymtotic Solution with Applications to Ocean Acoustics.
Abstract
In this dissertation, Langer's asymptotic solution for second order differential equations is applied to the problem of acoustical propagation in the ocean. Langer's solution is analogous to the WKB solution, but is developed in terms of the Airy functions. For illustrative c(z) 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 c(z) 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1977
- Accession Number
- ADA045346
Entities
People
- Stephen K. Mitchell
Organizations
- University of Texas at Austin