On the Theory of Acoustical Imaging

  • Osman K. Mawardi
Chapter

Abstract

A generalized treatment for the mechanics of ray acoustics, in the intermediate wavelength regime, is systematically developed. The discussion makes extensive use of geometric acoustical solutions (eikonal solutions) in which their frequency dependence is taken into account. One of the results yields the mapping of the acoustic object-to-image fields by means of a transfer matrix for the acoustic propagation. The study is restricted to the case of coherent illumination.

Keywords

Eikonal Equation Acoustical Image Coherent Illumination Acoustical Case Helmholtz Wave Equation 
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.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    H. Galburn, Propagation d’une Onde Sonore dans l’Atmosphère, Gauthiers-Villars, Paris (1931).Google Scholar
  2. 2.
    L. P. Solomon, D. K. Ai, and G. Haven, J. Acous. Soc. Am. 44:1121 (1968).ADSCrossRefGoogle Scholar
  3. 3.
    A. B. Wood, A Textbook of Sound, 3rd ed., Macmillan, New York (1955).Google Scholar
  4. 4.
    M. Born and E. Wolf, Principles of Optics, Pergamon Press, New York, (1959).MATHGoogle Scholar
  5. 5.
    A. Sommerfeld and J. Runge, Ann. Physik 35:289 (1911).Google Scholar
  6. 6.
    M. Kline and I. W. Kay, Electromagnetic Theory and Geometrical Optics, Interscience Publishers, New York (1965), p. 12ff.MATHGoogle Scholar
  7. 7.
    R. K. Luneberg, New York University Lectures 1947–48.Google Scholar
  8. 8.
    H. Goldstein, Classical Mechanics, Addison Wesley Publ. Co., Cambridge, Mass. (1953).Google Scholar
  9. 9.
    L. Brillouin, Les Tenseurs en Mécanique et en Elasticité, Dover Publications, New York (1946).MATHGoogle Scholar
  10. 10.
    E. Kemble, Quantum Mechanics, Dover Publications, New York (1958), p. 10ff.MATHGoogle Scholar
  11. 11.
    F. G. Friedlander, Sound Pulses, Cambridge Univ. Press (1958).MATHGoogle Scholar
  12. 12.
    K. G. Budden, Radio Waves in the Ionosphere, Cambridge Univ. Press (1961).MATHGoogle Scholar
  13. 13.
    G. A. Campbell and R. M. Foster, Fourier Integrals, D. Van Nostrand Co., New York (1948).Google Scholar
  14. 14.
    J. Heading, An Introduction to Phase-Integral Methods, Methuen and Co. London (1961).Google Scholar
  15. 15.
    A. Erdelyi, Asymptotic Expansions, Dover Publications, New York (1956) p. 79ff.MATHGoogle Scholar
  16. 16.
    L. Brillouin, Wave Propagation and Group Velocity, Academic Press, New York (1960).MATHGoogle Scholar
  17. 17.
    P. Sturrock, Static and Dynamic Electron Optics, Cambridge Univ. Press (1955).MATHGoogle Scholar

Copyright information

© Plenum Press, New York 1970

Authors and Affiliations

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

Personalised recommendations