Applied Physics B

, 97:849 | Cite as

Correlation properties of random electromagnetic beams in laser resonators

  • Z. Tong
  • O. Korotkova
  • Y. Cai
  • H. T. Eyyuboglu
  • Y. Baykal
Article

Abstract

With the help of the generalized Huygens–Fresnel principle and the tensor approach for electromagnetic stochastic beams we investigate the behavior of their two-point spatial correlation properties on interaction with a laser resonator. In particular, the evolution of the degree of coherence, of the degree of cross-polarization and of the intensity correlations (at one and two points in space) is analyzed for typical beams and cavities. The theory is illustrated by numerical curves pertaining to various correlation properties of typical electromagnetic Gaussian Schell-model beams.

PACS

42.25.Ja 42.25.Kb 42.60.Da 

References

  1. 1.
    D.F.V. James, Change of polarization of light beams on propagation in free space. J. Opt. Soc. Am. A 11, 1641 (1994) CrossRefADSGoogle Scholar
  2. 2.
    E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge University Press, Cambridge, 2007) MATHGoogle Scholar
  3. 3.
    E. Wolf, Correlation-induced changes in the degree of polarization, the degree of coherence and spectrum of random electromagnetic beams on propagation. Opt. Lett. 28, 1078 (2003) CrossRefADSGoogle Scholar
  4. 4.
    J. Tervo, T. Setala, A.T. Friberg, Theory of partially coherent electromagnetic fields in the space-frequency domain. J. Opt. Soc. Am. A 21, 2205 (2004) CrossRefMathSciNetADSGoogle Scholar
  5. 5.
    J. Ellis, A. Dogariu, Mutual degree of cross-polarization. Opt. Lett. 29, 536 (2004) CrossRefADSGoogle Scholar
  6. 6.
    T. Shirai, E. Wolf, Correlations between intensity fluctuations in stochastic electromagnetic beams of any state of coherence and polarization. Opt. Commun. 272, 289 (2007) CrossRefADSGoogle Scholar
  7. 7.
    S.N. Volkov, D.F.V. James, T. Shirai, E. Wolf, J. Opt. A, Pure Appl. Opt. 10, 055001 (2008) CrossRefADSGoogle Scholar
  8. 8.
    F. Zernike, The concept of degree of coherence and its application to optical problems. Physica 5, 785–795 (1938) CrossRefADSGoogle Scholar
  9. 9.
    A.G. Fox, T. Li, Resonate modes in a maser interferometer. Bell. Syst. Tech. J. 40, 453 (1961) Google Scholar
  10. 10.
    E. Wolf, G.S. Agarwal, Coherence theory of laser resonator modes. J. Opt. Soc. Am. A 1, 541 (1984) CrossRefADSGoogle Scholar
  11. 11.
    E. Wolf, Coherence and polarization properties of electromagnetic laser modes. Opt. Commun. 265, 60–62 (2006) CrossRefADSGoogle Scholar
  12. 12.
    T. Saastamoinen, J. Turunen, J. Tervo, T. Setala, A.T. Friberg, Electromagnetic coherence theory of laser resonator modes. J. Opt. Soc. A 22, 103 (2005) CrossRefADSGoogle Scholar
  13. 13.
    M. Yao, Y. Cai, H. Eyyuboglu, Y. Baykal, O. Korotkova, The evolution of the degree of polarization of an electromagnetic Gaussian Schell-model beam in a Gaussian cavity. Opt. Lett. 33, 2266 (2008) CrossRefADSGoogle Scholar
  14. 14.
    O. Korotkova, M. Yao, Y. Cai, H. Eyyuboglu, Y. Baykal, State of polarization of a stochastic electromagnetic beam in an optical resonator. J. Opt. Soc. Am. A 25, 2710 (2008) CrossRefADSGoogle Scholar
  15. 15.
    O. Korotkova, M. Salem, E. Wolf, Beam conditions for radiation generated by an electromagnetic Gaussian Schell-model source. Opt. Lett. 29, 1173 (2004) CrossRefADSGoogle Scholar
  16. 16.
    H. Roychowdhury, O. Korotkova, Realizability conditions for electromagnetic Gaussian Schell-model sources. Opt. Commun. 249, 379 (2005) CrossRefADSGoogle Scholar
  17. 17.
    Q. Lin, Y. Cai, Tensor ABCD law for partially coherent twisted anisotropic Gaussian-Schell model beams. Opt. Lett. 27, 216–218 (2002) CrossRefADSGoogle Scholar
  18. 18.
    S. Sahin, O. Korotkova, G. Zhang, J. Pu, Free-space propagation of the spectral degree of cross-polarization of stochastic electromagnetic beams. J. Opt. A, Pure Appl. Opt. 11, 085703 (2009) CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Z. Tong
    • 1
  • O. Korotkova
    • 1
  • Y. Cai
    • 2
  • H. T. Eyyuboglu
    • 3
  • Y. Baykal
    • 3
  1. 1.Department of PhysicsUniversity of MiamiCoral GablesUSA
  2. 2.School of Physical Science and TechnologySoochow UniversitySuzhouChina
  3. 3.Department of Electronic and Communication EngineeringÇankaya UniversityBalgat AnkaraTurkey

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