A Presentation on Explicit Normal Modes for a Perturbed Ocean Model by Perturbation
Abstract
Subject to simplifying assumptions, one can use the method of normal modes, involving the eigenvalues and eigenfunctions of a depth dependent Sturm-Liouville problem. The constant sound speed of the idealized uniform ocean model is modified by a function that is multiplied by a small parameter, epsilon. The changes that result, both the classical theory of perturbation for Sturm-Liouville problems and a newer transmutation approach. The transmutation approach is used in a way that overcomes its main disadvantage, at least to first order in epsilon. Explicit formulas are obtained for both the eigenvalues and eigenfunctions to first order, without having to expend the eigenfunctions in an infinite series, as is done in the classical approach. Finally, the new formulas are consistent with the classical infinite series.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 07, 1986
- Accession Number
- ADA227338
Entities
People
- David H. Wood
- Ghasi R. Verma
- Mark D. Duston
- Robert P. Gilbert
Organizations
- Naval Underwater Systems Center