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.
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References
Holosonics Corporation, 2950 George Washington Way, Richland, Washington, 99352.
B. B. Brenden, “A Comparison of Acoustical Holography Methods,”Acoustical Holography, Vol. 1, Springer Science+Business Media New York, N.Y., Ch. 4, pp. 57–71 (1969).
T. J. Bander and B. P. Hildebrand, “Analysis of the Liquid Surface Motion in Liquid Surface Acoustical Holography,” J. Acoust. Soc. Am., Vol. 47, pp. 81 (1970).
F. H. Harlow and J. E. Welch, “Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface,” The Physics of Fluids, Vol. 8, No. 12, p. 2182 (1965).
J. W. Goodman, Introduction to Fourier Optics, McGraw Hill, pp. 60, 80 (1968).
L. D. Landau and E. M. Lifshitz, Fluid Mechanics Course of Theoretical Physics, Vol. 6, Pergamon Press, London, Chapter 8 (1959).
Z. A. Gol’dberg, “Acoustic Radiation Pressure,” in High-Intensity Ultrasonic Fields, edited by L. D. Rozenberg, Springer Science+Business Media New York, (1971).
P. S. Green, “Acoustical Holography with the Liquid Surface Relief Conversion Method,” Lockheed Internal Report No. 6–77–67–42 (1972).
R. F. Beyer, “Radiation Pressure in a Sound Wave,” Am. Jour. Phys., Vol. 18, No. 1 (1950).
L. D. Landau and E. M. Lifshitz, Fluid Mechanics Course of Theoretical Physics, Vol. 6, Pergamon Press, London, Sections 12, 15 (1959).
L. D. Landau and E. M. Lifshitz, Fluid Mechanics Course of Theoretical Physics, Vol. 6, Pergamon Press, London, Sections 15, 60 (1959).
B. P. Hildebrand and B. B. Brenden, An Introduction of Acoustical Holography, Springer Science+Business Media New York, N.Y., p. 157 (1972).
L. D. Landau and E. M. Lifshitz, Fluid Mechanics Course of Theoretical Physics, Vol. 6, Pergamon Press, London, Sections 12, 25, 61 (1959).
B. P. Hildebrand and B. B. Brenden, An Introduction to Acoustical Holography, Springer Science+Business Media New York, N.Y., p. 145 (1972).
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Pille, P., Hildebrand, B.P. (1974). Rigorous Analysis of the Liquid-Surface Acoustical Holography System. In: Green, P.S. (eds) Acoustical Holography. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0827-1_20
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DOI: https://doi.org/10.1007/978-1-4757-0827-1_20
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-0829-5
Online ISBN: 978-1-4757-0827-1
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