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Rigorous Analysis of the Liquid-Surface Acoustical Holography System

  • P. Pille
  • B. P. Hildebrand

Abstract

The liquid-surface focussed-image acoustical holography system has attained a certain level of maturity with the availability of commercial units.1 The system was developed experimentally, with analysis following later. The first analysis was performed by B. B. Brenden simply to provide a better understanding of the concept.2 Later, T. J. Bander extended the analysis to include pulsed operation which Brenden has experimentally shown to be much superior to continuous wave operation.3 This analysis showed that the liquid surface acted like a classical low-pass filter whose bandwidth increased inversely with pulse length. In this analysis we solve the linearized Navier-Stokes equation by the finite difference method of Harlow and Welch to obtain the response of the liquid surface to time and space variations in radiation pressure.4 We also include the effect of the isolation or mini-tank invented by Brenden as a means of isolating the detecting surface from environmental disturbances.

Keywords

Spatial Frequency Liquid Surface Radiation Pressure Rigorous Analysis Sound Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Science+Business Media New York 1974

Authors and Affiliations

  • P. Pille
    • 1
  • B. P. Hildebrand
    • 2
  1. 1.WaterdownCanada
  2. 2.Battelle-NorthwestRichlandUSA

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