Skip to main content
Log in

Coherence and intensity moments of laser light

  • Coherence and Statistics
  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

Taking the modal behaviours of the laser field into account, the coherence properties of laser light can be characterized by mode coherence functions (MCFs) and mode coherence coefficients (MCCs). Changes in laser light properties due to optical operations can be described by transformation laws for the MCFs and the MCCs. The transformation laws as well as transformation matrices for propagation in free space, phase transformations, spatial amplitude modulations and aperturizing are given. Furthermore, intensity distributions and intensity moments in the spatial and in the spatial frequency domains are expressed in terms of the MCCs. General expressions for the beam quality factors,M 2s, obtained using the intensity moments and some useful expressions for intensity moments of higher order are discussed.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. G. FOX and T. LI,Bell Syst. Tech. J. 40 (1961) 453.

    Google Scholar 

  2. G. D. BOYD and J. P. GORDON, —ibid.40 (1961) 489.

    Google Scholar 

  3. A. G. FOX and T. LI,Proc. IEEE 51 (1963) 80.

    Google Scholar 

  4. T. LI,Bell Syst. Tech. J. 44 (1965) 917.

    Google Scholar 

  5. H. KOGELNIKK and T. LI,Proc. IEEE 54 (1966) 1312.

    Google Scholar 

  6. A. E. SIEGMAN and H. Y. MILLER,Appl. Opt. 9 (1970) 2729.

    Google Scholar 

  7. W. D. MURPHY and M. L. BERNABE, —ibid.17 (1978) 2358.

    Google Scholar 

  8. P. HORWITZ,J. Opt. Soc. Am. 63 (1973) 1528.

    Google Scholar 

  9. R. R. BUTTS and P. V. AVIZONIS, —ibid.68 (1978) 1072.

    Google Scholar 

  10. A. E. SIEGMAN,Proc. SPIE 1224 (1990) 2.

    Google Scholar 

  11. R. HAUCK, F. HOLLINGER and H. WEBER,Opt. Commun. 47 (1983) 141.

    Google Scholar 

  12. M. S. BOWERS and S. E. MOODY,Appl. Opt. 29 (1990) 3905.

    Google Scholar 

  13. F. HOLLINGER, Chr. JUNG and H. WEBER,Opt. Commun. 75 (1990) 84.

    Google Scholar 

  14. H. WEBER, Beam quality of high power solid state lasers, Internal Report FLI Berlin (March 1991).

  15. N. HODGSON, Optische Resonatoren für Hochleistungs-Festkörper-Laser, Internal Report, FLI Berlin (December 1990).

  16. G. HERZIGER and P. LOOSEN, CO2-lasers for industrial material processing.Proc. Lasers '87, Lake Tahoe, 1987.

  17. R. KRAMER, PhD thesis, RWTH Aachen (1991).

  18. J. FRANEK, K.-M. DU, S. PFLINGER, R. IMHOFF and P. LOOSEN,Proc. SPIE 1397 (1990) 791.

    Google Scholar 

  19. SCHOLL, M. and H. SCHMIDT, Private communication.

  20. K.-M. DU, PhD thesis, RWTH Aachen, to be published.

  21. WOLF, E.,Nature 172 (1953) 535.

    Google Scholar 

  22. MANDEL, L. and WOLF, E.,Selected Papers on Coherence and Fluctuations of light (Dover, New York, 1990).

    Google Scholar 

  23. M. J. BERAN and G. B. PARRENT, JR,Theory of Partial Coherence (Prentice-Hall, Englewood Cliffs, New Jersey, 1964).

    Google Scholar 

  24. J. PERINA,Coherence of Light (Van Nostrand Reinhold, London, 1972).

    Google Scholar 

  25. L. MANDEL and E. WOLF,Rev. Modern Phys. 37 (1965) 231.

    Google Scholar 

  26. J. W. GOODMAN,Statistical Optics (Wiley, New York, 1985).

    Google Scholar 

  27. E. WOLF and G. S. AGARWAL,J. Opt. Soc. Am. A1 (1984) 541.

    Google Scholar 

  28. D. GABOR,Proceedings Symposium on Astronomical Optics and Related Subjects, edited by Z. Kopal (North-Holland, Amsterdam, 1956) p. 17.

    Google Scholar 

  29. H. GAMO,J. Opt. Soc. Am. 47 (1957) 976.

    Google Scholar 

  30. H. GAMO, —ibid.48 (1958) 136.

    Google Scholar 

  31. Idem, Matrix treatment of partial coherence,Progress in Optics, Vol. 3, edited by E. Wolf (Elsevier, New York, 1964) p. 187.

    Google Scholar 

  32. H. WEBER, Propagation of Higher Order Intensity-moments in Quadratic Index Media, to be published.

  33. A. YARIV,Quantum Electronics (Wiley, New York, 1975).

    Google Scholar 

  34. K.-M. DU, G. HERZIGER, P. LOOSEN and F. RÜHL,Opt. Quantum Electron. 24 (1992) S1095.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Du, K.M., Herziger, G., Loosen, P. et al. Coherence and intensity moments of laser light. Opt Quant Electron 24, S1081–S1093 (1992). https://doi.org/10.1007/BF01588607

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01588607

Keywords

Navigation