JETP Letters

, 88:418 | Cite as

Polarization singularities in partially coherent combined beams

  • Ch. V. Felde
  • A. A. Chernyshov
  • G. V. Bogatyryova
  • P. V. Polyanskii
  • M. S. Soskin
Atoms, Spectra, Radiations


Vector singularities are predicted and discovered experimentally in partially polarized combined fields formed by incoherent superposition of orthogonally polarized beams. Such singularities are U contours with zero degree of polarization and isolated P points with unit degree of polarization centered at vortices of the orthogonally polarized component of the combined beam. Crossing a U contour switches the polarization state to the orthogonal one. The above-mentioned singularities are adequately described in terms of the complex degree of polarization in the Stokes-space representation. It is shown that the field elements corresponding to the extrema of the complex degree of polarization form the vector skeleton of a partially coherent nonuniformly polarized field.

PACS numbers

42.25.Ja 42.25.Kb 42.30.Ms 


  1. 1.
    J. F. Nye and J. V. Hajnal, Proc. P. Soc. Lond. A 409, 21 (1987).ADSMathSciNetGoogle Scholar
  2. 2.
    M. V. Berry and M. R. Dennis, Proc. R. Soc. Lond. A 457, 141 (2001).MATHADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    I. Freund, Opt. Commun. 201, 251 (2002).CrossRefADSGoogle Scholar
  4. 4.
    M. S. Soskin, V. G. Denisenko, and R. I. Egorov, J. Opt. A: Pure Appl. Opt. 6, S281 (2004).CrossRefADSGoogle Scholar
  5. 5.
    J. F. Nye, Natural Focusing and Fine Structure of Light (IPP Publ., Bristol, 1999).MATHGoogle Scholar
  6. 6.
    G. V. Bogatyryova, Ch. V. Felde, P. V. Polyanskii, and M. S. Soskin, Opt. Spektrosk. 97, 833 (2004) [Opt. Spectrosc. 97, 782 (2004)].CrossRefGoogle Scholar
  7. 7.
    M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).Google Scholar
  8. 8.
    W. A. Shurcliff, Polarized Light (Harvard Univ. Press, Cambridge, Massachusetts, 1962).Google Scholar
  9. 9.
    J. R. Klauder and E. C. G. Sudarshan, Fundamental of Quantum Optics (Benjamin, New York, 1968).Google Scholar
  10. 10.
    G. V. Bogatyryova, Ch. V. Felde, P. V. Polyanskii, et al., Opt. Lett. 28, 878 (2003).CrossRefADSGoogle Scholar
  11. 11.
    M. Berry, M. Dennis, and M. Soskin, J. Opt. A: Pure Appl. Opt. 6, S155 (2004).CrossRefADSGoogle Scholar
  12. 12.
    P. V. Polyanskii, in Optical Correlation Applications and Techniques, Ed. by O. Angelsky, SPIE Press A 168, (Bellingham, 2007).Google Scholar
  13. 13.
    J. Ellis and A. Dogariu, Opt. Lett. 29, 536 (2004).CrossRefADSGoogle Scholar
  14. 14.
    E. L. O’Neil, Introduction to Statistical Optics (Addison-Wesley, Massachusetts, 1963).Google Scholar
  15. 15.
    M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge Univ. Press, Cambridge, 1997).Google Scholar
  16. 16.
    R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1977).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  • Ch. V. Felde
    • 1
  • A. A. Chernyshov
    • 1
  • G. V. Bogatyryova
    • 2
  • P. V. Polyanskii
    • 1
  • M. S. Soskin
    • 3
  1. 1.Chernovtsy National UniversityChernovtsyUkraine
  2. 2.National Technical University “Kiev Polytechnic Institute”KievUkraine
  3. 3.Institute of PhysicsNational Academy of Sciences of UkraineKievUkraine

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