A Linear Systems Theory Approach to the Range-Independent Acoustic Channel

Abstract

Using linear systems theory as a framework, the solution for the acoustic field present in a range-independent acoustic channel excited by a complex-weighted, planar array of point sources with an arbitrary input electrical signal is derived. The ocean medium is characterized by a transfer function, obtainable as the solution to the Helmholtz wave equation. The transfer function for an isospeed, three-layer waveguide is derived. The unbounded homogeneous medium equations are derived as a special case of the waveguide problem. The problem of interference due to the presence of a pressure-release surface is also derived as a special case. The linear systems approach lends itself to a modular computer implementation, in which different ocean medium models are represented by subroutines implementing their transfer functions. The equations for a range-independent medium are implemented as a group of subprograms. Results are presented for the special cases of a homogeneous medium and the surface reflection problem, which can be checked against known, easily interpreted analytical solutions. Finally, an example of waveform prediction for the isospeed, three-layer waveguide is presented. Theses.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1989
Accession Number
ADA216551

Entities

People

  • Luiz A. Lopes De Souza

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Acoustic Channels
  • Acoustic Fields
  • Acoustic Phenomena
  • Acoustics
  • Differential Equations
  • Equations
  • Linear Systems
  • Partial Differential Equations
  • Reflection
  • Signal Processing
  • Systems Approach
  • Three Dimensional
  • Transfer Functions
  • Two Dimensional
  • Wave Equations
  • Waveforms
  • Waves

Fields of Study

  • Physics

Readers

  • Acoustical Oceanography.
  • Calculus or Mathematical Analysis
  • Fluid Dynamics.