Wavevector-Frequency Spectra of Nonhomogeneous Fields

Abstract

The utility of wavevector-frequency spectral analysis for the description and interpretation of hydroacoustic and structural acoustic fields has been amply demonstrated over the past decade in both theoretical and experimental applications. In the majority of these applications, the statistics of the random fields of interest were assumed to be stationary and homogeneous. While many of the hydroacoustic and structural acoustic fields of practical interest can be considered stationary, few can be considered homogeneous. Structural acoustic fields are nonhomogeneous owing to the space varying nature (e.g., boundaries) of practical structures. In hydroacoustics, the natural growth of the turbulent boundary layer results in a nonhomogeneous pressure field at the boundary. This paper addresses the application of wavevector-frequency analysis to the description and interpretation of nonhomogeneous, but stationary, fields. Whereas only one definition of the wavevector-frequency spectrum exists for a homogeneous, stationary field, several alternative definitions of the wavevector-frequency spectrum are possible for the nonhomogeneous, stationary field. The utility of these various spectral forms for the analysis and interpretation of nonhomogeneous, stationary fields is assessed.

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Document Details

Document Type
Technical Report
Publication Date
Jan 22, 1987
Accession Number
ADA176622

Entities

People

  • Wayne A. Strawderman

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Acoustic Fields
  • Boundary Layer
  • Classification
  • Data Science
  • Equations
  • Excitation
  • Flow Fields
  • Fourier Transformation
  • Frequency
  • Frequency Response
  • Integral Equations
  • Integrals
  • Linear Systems
  • Stationary
  • Statistics
  • Turbulent Flow
  • Waves

Fields of Study

  • Physics

Readers

  • Acoustical Oceanography.
  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.

Technology Areas

  • Space