Hamiltonian 3-D Ray Tracing in the Oceanic Waveguide on the Ellipsoidal Earth

Abstract

Ray equations based on an acoustic Hamiltonian, and formulated by Jones et al. (1986) for spherical coordinates in NOAA's three dimensional ray tracer HARPO, are adapted to ellipsoidal coordinates in the oceanic waveguide. The ensuing modified HARPO is used to model very long range (up to antipodal) acoustic paths in which the difference between geodesics and great circles is measurable. The eventual objective of this modeling is to extract the predictable part of the travel time trend and fluctuations along several long paths that will be used to monitor hypothetical global warming effects. The requirements for easy assimilation and representation of realistic environmental inputs are discussed. These requirements, when coupled with the possibility of classical chaos in the ray paths, dictate a new software architecture. We use the existing software, however, to breadboard and test features of new ray tracers in the global boundary layer, and to support the experimental design of a forthcoming pilot experiment that will use a transmitter located at Heard Island in the Indian Ocean near Antarctica.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1990
Accession Number
ADA237458

Entities

People

  • George Dworski
  • James A. Mercer

Organizations

  • University of Washington

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Waves
  • Acoustics
  • Artificial Satellites
  • Boundary Layer
  • Climate Change
  • Coordinate Systems
  • Differential Equations
  • Differential Geometry
  • Equations
  • Geometric Forms
  • Geometry
  • Indian Ocean
  • Physical Theories
  • Physics Laboratories
  • Ridges
  • Three Dimensional
  • World Geodetic System

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers
  • Space/Atmospheric Physics.