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Light Scattering and Non-Gaussian Fields

  • Eric Jakeman
Conference paper

Abstract

Non-Gaussian fluctuations in scattered waves are a subject of longstanding interest. Almost all naturally occurring scattering phenomena visible to the naked eye, ranging from the glittering of random crystallites such as frost to the twinkling of starlight are non-Gaussian in character. Moreover, many important fading phenomena at other frequencies of the electromagnetic spectrum and also those resulting from acoustic wave scattering are non-Gaussian. Thus it is not surprising that many theoretical investigations of this kind of scattering have been pursued over the years. The acquisition of consistent statistical data on natural phenomena is a notoriously difficult task, however, because of the large number of uncontrolled variables both known and unknown which affect the measurements. This is particularly true of large-scale Geophysical phenomena such as ionospheric or interplanetary scintillation of radio waves, but also limits the reproducibility of optical data on long path laser propagation for example. Controlled laboratory experiments clearly provide the best means for testing non-Gaussian scattering theories and this limits such work to the shorter electromagnetic wavelengths. On the other hand coherent radiation is not essential for the investigation of non-Gaussian scattering — indeed the use of coherent waves introduces the extra complication of interference effects — so one is led to ask why quantitative laboratory experiments were not carried out until relatively recently?

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References

  1. 1.
    E. Jakeman and P. N. Pusey in Inverse Scattering Problems in Optics Vol 20 of Topics in Current Physics ( Springer Verlag, Berlin, 1980 ) pp 73–116.CrossRefGoogle Scholar
  2. 2.
    B. B.Mandelbrot, Fractals ( Freeman, San Francisco, 1977 ).Google Scholar
  3. 3.
    P. N. Pusey in Photon Correlation Spectroscopy and Velocimetry Eds H. Z. Cumminsand E. R. Pike ( Plenum, New York, 1977 ).Google Scholar
  4. 4.
    Lord Rayleigh, Phil. Mag. 6 321–47, (1919).Google Scholar
  5. 5.
    E. Jakeman Proc. Soc. Photo-Opt. Instrum.Eng. 243, 9–19, (1980).Google Scholar
  6. 6.
    P. N. Pusey and E. Jakeman J. Phys. A:Math.Gen. 8 392–410 (1975).ADSCrossRefGoogle Scholar
  7. 7.
    J. C. Dainty ed. Laser Speckle and Related Phenomena Vol 9 of Topics in Applied Physics ( Springer-Verlag, Berlin, 1975 ).Google Scholar
  8. 8.
    H. G. Booker, J. A. Ratcliffe and D. H. Shinn Phil.Trans.Roy. Soc A 242 579–607 (1950).zbMATHMathSciNetGoogle Scholar
  9. 9.
    G. Parry, P. N. Pusey, E Jakeman and J. G. McWhirter in Coherence and Quantum Optics IV L. Mandel and E. Wolf eds ( Plenum, New York 1978 ), pp 351–361.Google Scholar
  10. 10.
    G. S. Brown, IEEE Trans Antennas Propagat. AP-26 472–82 (1978).Google Scholar
  11. 11.
    E. Jakeman and J. G. McWhirter J Phys A:Math.Gen 10, 1599–1643 (1977).ADSCrossRefGoogle Scholar
  12. 12.
    M. V. Berry, J.Phvs A 10 2061–2081 (1977).ADSzbMATHGoogle Scholar
  13. 13.
    E. E. Salpeter Astrophys. J. 147, 433–48 (1967).ADSCrossRefGoogle Scholar
  14. 14.
    E. Jakeman and J. G. McWhirter Appl. Phys. B26, 125–131 (1981).Google Scholar
  15. 15.
    J. G. Walker and E. Jakeman Optica Acta, 29, 313–324 (1982).ADSCrossRefGoogle Scholar
  16. 16.
    V. I. Tatarski Wave Propagation in a Turbulent Medium ( New York: McGraw - Hill, 1961 ).Google Scholar
  17. 17.
    M. V. Berry J. Phys. A 12 781–797 (1979).ADSCrossRefzbMATHMathSciNetGoogle Scholar
  18. 18.
    D. L. Jordon, R. Hollins and E. Jakeman Appl. Phys. B 31 (1983).Google Scholar
  19. 19.
    Y. Furuhama, Radio Science 10 1037–42 1975.ADSCrossRefGoogle Scholar
  20. 20.
    E. Jakeman and P. N. Pusey Phys. Rev. Lett. 40 546–50 (1978).ADSCrossRefGoogle Scholar
  21. 21.
    E. Jakeman J.Phys A 13 31–48 (1980).ADSCrossRefzbMATHGoogle Scholar
  22. 22.
    E. Jakeman. J.Phys A 15 L55–59 (1982).ADSCrossRefMathSciNetGoogle Scholar
  23. 23.
    E. Jakeman, J.Opt.Soc.Am 72 1034–1041 (1982).Google Scholar
  24. 24.
    E. Jakeman, Optica Acta to be published.Google Scholar
  25. 25.
    E. Jakeman and B. J. Hoenders Optica Acta 29 1587–1598 (1982).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Eric Jakeman
    • 1
  1. 1.Royal Signals and Radar EstablishmentMalvern, WorcestershireUK

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