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Related Concept Videos

Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Elastic Pekeris waveguide normal mode solution comparisons against laboratory data.

Joseph D Schneiderwind1, Jon M Collis, Harry J Simpson

  • 1CINTAL, Centro de Investigação Tecnológica do Algarve, University do Algarve, Campus de Gambelas 8005-139 Faro, Portugal. jdschneiderwind@gmail.com

The Journal of the Acoustical Society of America
|September 18, 2012
PubMed
Summary
This summary is machine-generated.

Acoustic waveguide modeling using a normal mode solution for an elastic bottom closely matches experimental data. Accurate horizontal wavenumbers are crucial for validating this Pekeris waveguide model.

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Area of Science:

  • Geophysics
  • Acoustics
  • Wave Propagation

Background:

  • The Pekeris waveguide problem is fundamental in underwater acoustics.
  • Previous models often simplified the seabed as a fluid or rigid layer.
  • Elastic properties of the seafloor significantly influence acoustic wave propagation.

Purpose of the Study:

  • To outline a normal mode solution for the Pekeris waveguide problem considering an elastic bottom.
  • To validate the analytic solution against experimental acoustic data.
  • To assess the impact of horizontal wavenumber accuracy on model performance.

Main Methods:

  • Derived a normal mode solution based on the Press and Ewing (1950) formulation.
  • Utilized experimental data from a Naval Research Laboratory study (Collis et al., 2007).
  • Benchmarked the analytic solution by comparing predicted and measured acoustic field characteristics.

Main Results:

  • The derived normal mode analytic solution demonstrates a close agreement with experimental data.
  • Horizontal wavenumber spectra from the model closely match those obtained from the experiment.
  • Model accuracy is highly sensitive to the precise determination of horizontal wavenumbers.

Conclusions:

  • The normal mode solution provides a reliable method for modeling acoustic propagation in Pekeris waveguides with elastic seabeds.
  • Experimental validation confirms the efficacy of the derived analytic approach.
  • Accurate characterization of horizontal wavenumbers is essential for predictive acoustic modeling in complex environments.