Transverse Mode Structure of Laser Beams Determined from Spatial Coherence

  • Eero Tervonen
  • Jari Turunen
  • Ari T. Friberg
Conference paper


Many types of lasers, particularly semiconductor and gas lasers, tend to oscillate naturally in several transverse Fox-Li modes simultaneously.1 Although single fundamental-mode operation has been one of the goals in recent laser structure developments, the presence of multiple modes may in certain applications (eg. lithography, micrometrology, speckle noise suppression) be desireable due to the associated spatial coherence reduction.


Beam Width Spatial Coherence Modal Weight Coherent Mode Positive Lens 
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  1. 1.
    P. W. Smith, “Mode selection of lasers”, Proc. IEEE 60:422 (1972)CrossRefGoogle Scholar
  2. 2.
    A. Starikov and E. Wolf, “Coherent-mode representation of gaussian Schell-model sources and of their radiation fields”, J. Opt Soc. Am. 72: 923 (1982)CrossRefGoogle Scholar
  3. 3.
    J. P. Goldsborough, “Beat frequencies between modes of a concave-mirror optical resonator”, Appl Opt. 3: 267 (1964).CrossRefGoogle Scholar
  4. 4.
    T. H. Zachos and J. E. Ripper, “Resonant modes of GaAs junction lasers”, IEEE J. Quantum Electron. QE-5: 29 (1969)Google Scholar
  5. 5.
    P. Spano, “Connection between spatial coherence and modal structure in optical fibers and semiconductor lasers”, Opt Commun. 33: 265 (1980)CrossRefGoogle Scholar
  6. 6.
    E. Wolf, “New spectral representation of random sources and of the partially coherent fields that they generate”, Opt Commun. 38: 3 (1981)CrossRefGoogle Scholar
  7. 7.
    E. Wolf and G. S. Agarwal, “Coherence theory of laser resonator modes”, J. Opt Soc. Am. A1: 541 (1984)CrossRefGoogle Scholar
  8. 8.
    F. Gori, “Collett-Wolf sources and multimode lasers”, Opt. Commun. 34: 301 (1980)CrossRefGoogle Scholar
  9. 9.
    J. Turunen, E. Tervonen, and A. T. Friberg, “Coherence-theoretic algorithm to determine the transverse mode structure of lasers” Opt. Lett (scheduled to appear in June 1989 issue).Google Scholar
  10. 10.
    E. Tervonen, J. Turunen, and A. T. Friberg, “Transverse laser-mode structure determination from spatial coherence measurements: experimental results”, submitted to Appl. Phys. B.Google Scholar

Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • Eero Tervonen
    • 1
  • Jari Turunen
    • 1
  • Ari T. Friberg
    • 1
  1. 1.Department of Technical PhysicsHelsinki University of TechnologyEspooFinland

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