Effects of Inhomogeneous Broadening on Resonance Fluorescence and the Growth of Laser Instabilities

  • David A. Holm
  • Murray SargentIII
Conference paper


A recent multimode quantum theory1 of light interactions shows how spontaneous emission influences the build-up of sidemodes in active and passive cavities containing a homogeneously-broadened medium of two-level strong-signal resonance fluorescence4 in appropriate limits, showing how this important phenomenon is explained in the context of Lamb theory. Contrary to what one might expect, the theory predicts a two-peaked spontaneous-emission spectrum for the onset of laser and optical-bistability sidemodes. The elimination of the central peak is due to a quantum three-wave mixing process. The laser sidemode instabilities are of great interest partly because they have led to all-optical chaos.5 The chaos experiments that have been performed involve inhomogeneously-broadened media. The present paper includes this broadening in the quantum treatment. This work also predicts the spectrum of resonance fluorescence in inhomogeneously-broadened stationary media, which has not to our knowledge been published. We have obtained analytic expressions for a Lorentzian inhomogeneous broadening function, allowing us to study the transition from homogeneous broadening to the inhomogeneous-broadening limit.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    M. Sargent Ill, M. S. Zubairy, and F. deMartini, Opt. Lett. 8, 76 (1983)ADSCrossRefGoogle Scholar
  2. 2.
    W. E. Lamb, Jr., Phys. Rev. 134, A1429 (1964)ADSCrossRefGoogle Scholar
  3. 3.
    M. O. Scully and W. E. Lamb, Jr., Phys. Rev. 159, 208 (1967)ADSCrossRefGoogle Scholar
  4. 4.
    B. R. Mollow, Phys. Rev. 188, 1969 (1969); C. Cohen-Tannoudji, in Frontiers in Laser Spectroscopy, Ed. by R. Balian, S. Haroche, and S. Liberman ( North-Holland, Amsterdam, 1977 ) Vol. IGoogle Scholar
  5. 5.
    N. B. Abraham, M. D. Coleman, M. M.eda, and J. C. Wesson, Appl. Phys. B28, 169 (1982); J. Bentley and N. B. Abraham, Opt. Comm. 41, 52 (1982). For background references on these instabilities, see S. T. Hendow and M. Sargent I l 1, Opt. Comm. 40, 385 (1982) and Opt. Comm. 43, 59 (1982). L. W. Hillman, R. W. Boyd, and C. R. Stroud, Jr., Opt. Lett. 7, 426 (1982)Google Scholar
  6. 6.
    For a review of the semiclassical results, see M. Sargent Ill, Phys. Rep. 43C, 223 (1978)Google Scholar

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • David A. Holm
    • 1
  • Murray SargentIII
    • 1
  1. 1.Optical Sciences CenterUniversity of ArizonaTucsonUSA

Personalised recommendations