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Effect of Mode Nonorthogonality on Light Coherence In F-P and DFB Lasers

  • Anna Tyszka-Zawadzka
  • Paweł Szczepański
  • Adam Kujawski
Conference paper

Abstract

In this paper we extend a theory of the light coherence1,2 to take into account the nonorthogonal nature of the laser modes that leads to the excess noise factor3,4. The coherence properties of light presented by correlation functions are determined by means of the time dependent solutions of the Fokker-Planck equation. In our approach, the problem of calculating the correlation functions has been reduced to an eigenvalue problem of the Sturm-Liouville equation2. It is worth noting, that in contrast to the standard theory the correlation functions are modified by the excess noise factor dependent on the spatial distributions of the laser modes. Numerical result obtained for F-P as well as for DFB lasers reveal the difference between the standard approach (for orthogonal laser modes) and the more realistic model (mode nonorthogonality included). We find, that the coherence properties of light from lasers strongly depend on the changes of the geometry of the laser structure (having the same Q-factor).

Keywords

Correlation Function Laser Mode Intensity Fluctuation Excess Noise Coherence Property 
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References

  1. 1.
    M. M-Tehrani and L. Mandel, “Coherence theory of the ring laser,” Phys. Rev. A 17: 677 (1978).CrossRefGoogle Scholar
  2. 2.
    H. Risken. “Correlation function of the amplitude and of the intensity fluctuation for a laser model near threshold.” Z. Physik. 19 L 302 (1966).Google Scholar
  3. 3.
    A. E. Siegman, “Excess spontaneous emission in non-Hermition optical systems. L Laser amplifiers,” Phys. Rev. A 39: 1253 (1989).CrossRefGoogle Scholar
  4. 4.
    A. Tyszka-Zawadzka and P. Szczepanski, “Excess noise factor in partly gain coupled DFB lasers,” Opt. Commun 87: 502 (1994).CrossRefGoogle Scholar
  5. 5.
    A. Tyszka-Zawadzka, P. Szczepanski, and W. Wolinski, “Effect of mode nonorthogonality in distributed feedback lasers,” Opt. Lett. 19: 1222 (1994).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Anna Tyszka-Zawadzka
    • 1
  • Paweł Szczepański
    • 1
    • 2
  • Adam Kujawski
    • 3
  1. 1.Institute of Microelectronics and OptoelectronicsWarsaw University of TechnologyWarsawPoland
  2. 2.Institute of Electronic Materials TechnologyWarsawPoland
  3. 3.Institute of PhysicsWarsaw University of TechnologyWarsawPoland

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