AN APPROACH TO THREE-DIMENSIONAL RAY TRACING.

Abstract

This report illustrates an approach to the general three-dimensional ray-tracing problem. A set of vector differential equations known as the Frenet Formulas is presented, and the ray equation in vector form is used to evaluate the parameters of curvature and torsion, which lead to the approximation of ray paths by helical segments. The only restriction on the sound velocity is that the second partial derivatives with respect to the spatial coordinates exist and are continuous. The general spreading loxs expression is discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 24, 1965
Accession Number
AD0619973

Entities

People

  • Edward S. Eby

Organizations

  • Navy Underwater Sound Laboratory

Tags

DTIC Thesaurus Topics

  • Curvature
  • Differential Equations
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics
  • Pennsylvania
  • Physical Properties
  • Ray Tracing
  • Three Dimensional

Readers

  • Linear Algebra
  • Mechanical Engineering/Mechanics of Materials.
  • Wave Propagation and Nonlinear Chaotic Dynamics.