OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 22, Iss. 10 — May. 15, 1983
  • pp: 1578–1591

Space–time and space-averaged equations for a two-mirror laser: theory and numerical results

Michael Baer and Isidor Last  »View Author Affiliations

Applied Optics, Vol. 22, Issue 10, pp. 1578-1591 (1983)

View Full Text Article

Enhanced HTML    Acrobat PDF (1447 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A theoretical model is considered for an unsteady three-level (single-mode) laser. By use of the rotating wave approximation, the usual semiclassical equations are transformed into a system of first-order space–time (ST) equations. The space oscillations of the population difference (hole-burning effects) and the motion of the atoms are included in the treatment. After the introduction of several assumptions, the ST equations are transformed to a set of time-dependent space-averaged (SA) equations. The numerical calculations were performed for a pulsed two-mirror laser with a finite phase memory decay constant and for resonance and nonresonance frequencies. The calculations show that the SA equations give almost the same results as the much more complicated ST equations.

© 1983 Optical Society of America

Original Manuscript: October 25, 1982
Published: May 15, 1983

Michael Baer and Isidor Last, "Space–time and space-averaged equations for a two-mirror laser: theory and numerical results," Appl. Opt. 22, 1578-1591 (1983)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Sargent, M. O. Scully, W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).
  2. V. M. Fain, Sov. Phys. JETP 6, 726 (1958); V. M. Fain, Ya. I. Khanin, Sov. Phys. JETP 14, 1069 (1962).
  3. W. W. Rigrod, J. Appl. Phys. 34, 2602 (1963). [CrossRef]
  4. L. A. Ostrovski, E. I. Yakubovich, Sov. Phys. JETP 19, 656 (1964).
  5. W. E. Lamb, Phys. Rev. 134, 1429 (1964). [CrossRef]
  6. S. Stenholm, W. E. Lamb, Phys. Rev. 181, 618 (1969). [CrossRef]
  7. V. DeGiorgio, W. M. Scully, Phys. Rev. A 2, 1170 (1970). [CrossRef]
  8. G. L. Lamb, Rev. Mod. Phys. 43, 99 (1971). [CrossRef]
  9. R. Lang, M. O. Scully, W. E. Lamb, Phys. Rev. A 7, 1788 (1973). [CrossRef]
  10. F. Najmabadi, M. Sargent, F. A. Hopf, Phys. Rev. A 12, 1553 (1975). [CrossRef]
  11. M. Sargent, Appl. Phys. 9, 127 (1976). [CrossRef]
  12. R. Bonifacio, L. A. Lugiato, Phys. Rev. A 18, 1129 (1978). [CrossRef]
  13. I. Last, M. Baer, Appl. Phys. Lett. 38, 838 (1981). [CrossRef]
  14. I. Last, Y. Reuven, M. Baer, Opt. Commun. 39, 83 (1981); I. Last, M. Baer, Appl. Phys. B 28, 2/3, 102 (1982). [CrossRef]
  15. N. G. Basov, R. V. Ambartsumjan, V. S. Zuev, P. G. Krynkov, V. S. Letokhov, Sov. Phys. JETP 23, 16 (1966).
  16. A. Icsevgi, W. E. Lamb, Phys. Rev. 185, 519 (1969). [CrossRef]
  17. F. A. Hopf, P. Meystre, Phys. Rev. A 12, 2534 (1975). [CrossRef]
  18. R. Bonifacio, F. A. Hopf, P. Meystre, M. O. Scully, Phys. Rev. A 12, 2568 (1975). [CrossRef]
  19. F. A. Hopf, E. A. Overman, Phys. Rev. A 19, 1180 (1979). [CrossRef]
  20. F. A. Hopf, Phys. Rev. A 20, 2064 (1979). [CrossRef]
  21. A. T. Rosenberger, T. A. DeTemple, Phys. Rev. A 24, 868 (1981). [CrossRef]
  22. Y. Reuven, M. Baer, Opt. Commun. 32, 320 (1980). [CrossRef]
  23. Y. Reuven, M. Baer, IEEE J. Quantum Electron. QE-16, 1117 (1980). [CrossRef]
  24. Y. Reuven, M. Baer, J. Appl. Phys. 53, 5439 (1982). [CrossRef]
  25. W. W. Rigrod, IEEE J. Quantum Electron. QE-14, 377 (1978). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited