The S-Matrix and Acoustic Signal Structure in Simple and Compound Waveguides.

Abstract

This paper deals with the propagation of transient acoustic fields in waveguides that consist of a semi-infinite cylinder coupled to a resonant cavity or resonator. The walls of the waveguide are assumed to be rigid. The sources of the transient sound fields, or signals, are assumed to be localized in a bounded portion of the waveguide and to act for a finite interval of time. The goal of the work is to calculate such acoustic signals and to analyze how their structure depends on the sources and the geometry of the waveguide. Particular attention is given to the cases in which the signal sources or observation point, or both, lie in the cylinder and are far from the resonator. It is well known that in the cylindrical portion of the waveguide each signal can be decomposed into a series of modal waves. These waves are calculated and are shown to be asymptotically independent for large times.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1982
Accession Number
ADA125583

Entities

People

  • Calvin H. Wilcox

Organizations

  • University of Utah

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Fields
  • Acoustic Signals
  • Boundary Value Problems
  • Cavity Resonators
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Geometry
  • Gratings (Spectra)
  • Hilbert Space
  • Scattering
  • Theorems
  • Two Dimensional
  • Wave Equations
  • Wave Functions
  • Waves

Fields of Study

  • Engineering
  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Microwave Engineering.