Phase Distortions Due to Nonlinear Effects in an Acoustic Field

  • O. K. Mawardi
Conference paper

Abstract

Linear superposition theory is commonly used to obtain acoustical diffraction patterns for weak acoustic signals. As the sound intensity is increased nonlinear effects set in. These can be responsible for amplitude as well as phase distortions of the primary interfering waves. The present chapter discusses quantitatively the magnitude of the phase distortion introduced by the second-order effects of wave-wave interaction for a system of two monochromatic interfering two-dimensional beams.

Keywords

Primary Wave Nonlinear Effect Interference Pattern Sound Intensity Phase Distortion 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    H. Lamb, The Dynamical Theory of Sound, Edward Arnold, London, 1910, p. 174 ff.MATHGoogle Scholar
  2. 2.
    A. L. Thuras, R. T. Jenkins, and H. T. O’Neill, J. Acoust. Soc. Am. 6:173 (1935).ADSMATHCrossRefGoogle Scholar
  3. 3.
    M. J. Lighthill, Proc. Roy. Soc. (London) A222:1 (1952).MathSciNetADSGoogle Scholar
  4. 4.
    P. Moyal, Proc. Camb. Phil. Soc. 48:329 (1952).MathSciNetADSMATHCrossRefGoogle Scholar
  5. 5.
    L. S. G. Kovaznay, J. Aero. Sci. 20:657 (1953).Google Scholar
  6. 6.
    O. K. Mawardi, Rept. Progr. Phys. 21:156 (1956).ADSCrossRefGoogle Scholar
  7. 7.
    P. J. Westervelt, J. Acoust. Soc. Am. 29:199, (1957).MathSciNetADSCrossRefGoogle Scholar
  8. 8.
    L. Brillouin, Les Tenseurs en Mécanique et en Elasticité, Dover Publications, New York, 1946, p. 268 ff.MATHGoogle Scholar
  9. 9.
    R. Courant, Differential and Integral Calculus, 2nd ed., Blackie and Sons Ltd., London, 1943, p. 443.Google Scholar
  10. 10.
    G. Watson, A Treatise on the Theory of Bessel Functions, 2nd. ed., Macmillan, New York, 1948, p. 152.Google Scholar

Copyright information

© Plenum Press 1969

Authors and Affiliations

  • O. K. Mawardi
    • 1
  1. 1.Case Western Reserve UniversityClevelandUSA

Personalised recommendations