Sensitivity of Ray Theory to Input Data

Abstract

Acoustic propagation problems which are solved using ray theory require certain input data. In particular, the source and receiver locations, sound-velocity field and bottom and surface conditions are required. Frequently, this data is known only to within certain confidence limits. Ray calculations are performed assuming that the input data is known to the required accuracy. A theory is presented which indicates the sensitivity of the calculations to small variations in the input data. The ray equation is characterized by a second-order ordinary differential equation; the intensity can be calculated along the particular ray directly. The necessity of having twice continuously differentiable velocity, surface and bottom profiles is clearly demonstrated in the theory. Specific examples are provided for specialized velocity profiles.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD1114953

Entities

People

  • J. L. Reeves
  • L. P. Solomon

Organizations

  • SACLANT ASW Research Centre

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustics
  • Asymptotic Series
  • Boundaries
  • Coefficients
  • Confidence Limits
  • Data Analysis
  • Differential Equations
  • Equations
  • Error Analysis
  • Errors
  • Intensity
  • Linear Differential Equations
  • New York
  • Perturbations
  • Polynomials
  • Sensitivity
  • Stratified Fluids
  • Surface Properties
  • Underwater Acoustics
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.