Skip to main content
SpringerLink
Log in

First order statistics of speckle produced by weak scattering media

  • Papers
  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

A weak scattering medium produces random phases in a transmitted or reflected wavefront distributed over less than 2π. The far-field speckle pattern has a central maximum. The statistics of intensity in this maximum are calculated and the applications of the results to surface roughness measurement are indicated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. Beckmann, in ‘The Scattering of Electromagnetic Waves from Rough Surfaces’, P. Beckmann and A. Spizzichino, London, Pergamon Press, 1963.

    Google Scholar 

  2. Idem, Progress in Optics,VI (1967) 55–69.

    Google Scholar 

  3. P. J. Chandley, andW. T. Welford,Opt. Quant. Elect. 7 (1975) 393–397.

    Google Scholar 

  4. S. Chandrasekhar,Rev. Mod. Physics 15 (1943) 1–89. (Reprinted in ‘Selected Papers on Noise and Stochastic Processes’ ed. N. Wax, Dover, N.Y., 1954.

    Google Scholar 

  5. J. C. Dainty, Optica Acta17 (1970) 761–762.

    Google Scholar 

  6. Idem, J. Opt. Soc. Am. 62 (1972) 595–596.

    Google Scholar 

  7. T. S. Mckechnie, Ph.D. Thesis, University of London, 1974.

  8. D. Vilkomerson,J. Opt. Soc. Am. 61 (1971) 929–933.

    Google Scholar 

  9. G. N. Watson, ‘A Treatise on the Theory of Bessel Functions’, 2nd edn., Cambridge University Press, 1944.

Download references

Author information

Authors and Affiliations

  1. Physics Department, Imperial College, SW7 2BZ, London

    W. T. Welford

Authors
  1. W. T. Welford
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Welford, W.T. First order statistics of speckle produced by weak scattering media. Opt Quant Electron 7, 413–416 (1975). https://doi.org/10.1007/BF00619839

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00619839

Keywords

Search

Navigation