A Stochastic-Mechanical Approach to Acoustic Pulse Propagation in the Deep Ocean Sound Channel

Abstract

Using stochastic-mechanical methods borrowed from quantum physics, we study the average shape of an acoustic pulse from a source on the SOFAR axis as a function of range. As shown by Williamson, this shape is given by the graph of the probability density of travel time along a random ray. We sketch a possible approach to finding this probability density, and give a formula for its average value which predicts the known transition from near-range to far-range pulse shape.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1984
Accession Number
ADA149598

Entities

People

  • T. Dankel Jr.

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acoustic Phenomena
  • Acoustics
  • Convergence Zones (Sonar)
  • Deep Oceans
  • Differential Equations
  • Electromagnetic Radiation
  • Fokker Planck Equations
  • Oceans
  • Physics
  • Probability
  • Probability Density Functions
  • Quantum Mechanics
  • Random Variables
  • Schrodinger Equation
  • Stochastic Processes
  • Travel Time
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Acoustical Oceanography.
  • Approximation Theory.
  • Military History of the United States in the 20th Century.

Technology Areas

  • Quantum Computing