Applied Physics B

, 105:399 | Cite as

Intrinsic axes of partially coherent light beams and their invariance through rotationally symmetric ABCD optical systems

  • R. Martínez-Herrero
  • P. M. Mejías
  • M. Larraona-Puy
  • A. Manjavacas
Article
  • 54 Downloads

Abstract

New transverse orthogonal axes associated with the beam shape are introduced on the basis of the irradiance-moment formalism that describes the overall spatial structure of partially coherent paraxial beams. We refer to them as the intrinsic axes of the beam. The angle between these axes and the laboratory reference coordinates can be determined from the measurements of the second-order spatial moments of the beam, even although the field amplitude is not analytically known. It has been found that the intrinsic axes remain invariant upon propagation through rotationally symmetric first-order optical systems. Two additional analytical quantities have also been introduced. One of them provides a measure of the beam symmetry, and the other one contains information about the beam rotation under propagation. When the field is referred to the intrinsic axes, these two quantities are shown to reach their extreme values. The results are illustrated by means of an example.

References

  1. 1.
    R. Simon, N. Mukunda, E.C.G. Sudarshan, Opt. Commun. 65, 322 (1988) ADSCrossRefGoogle Scholar
  2. 2.
    S. Lavi, R. Prochaska, E. Keren, Appl. Opt. 27, 3696 (1988) ADSCrossRefGoogle Scholar
  3. 3.
    M.J. Bastiaans, Optik 82, 173 (1989) Google Scholar
  4. 4.
    A.E. Siegman, in Optical Resonators, ed. by D.A. Holmes. Proc. SPIE, vol. 1224 (1990), p. 2 Google Scholar
  5. 5.
    R. Martínez-Herrero, P.M. Mejías, Opt. Commun. 85, 162 (1991) ADSCrossRefGoogle Scholar
  6. 6.
    H. Weber, Opt. Quantum Electron. 24, 1027 (1992) CrossRefGoogle Scholar
  7. 7.
    H. Weber (ed.), Opt. Quantum Electron. 24(9) (1992) Google Scholar
  8. 8.
    R. Martínez-Herrero, P.M. Mejías, Opt. Commun. 94, 197 (1992) ADSCrossRefGoogle Scholar
  9. 9.
    R. Martínez-Herrero, P.M. Mejías, Opt. Quantum Electron. 25, 423 (1993) CrossRefGoogle Scholar
  10. 10.
    Q. Lü, S. Dong, H. Weber, Opt. Quantum Electron. 27, 777 (1995) CrossRefGoogle Scholar
  11. 11.
    P.M. Mejías, R. Martínez-Herrero, Opt. Lett. 20, 660 (1995) ADSCrossRefGoogle Scholar
  12. 12.
    A. Ya Bekshaev, M.S. Soskin, M.V. Vasnetsov, J. Opt. Soc. Am. A 20, 1635 (2003) ADSCrossRefGoogle Scholar
  13. 13.
    R. Martínez-Herrero, P.M. Mejías, G. Piquero, Characterization of Partially Polarized Light Fields (Springer, Berlin, 2009) CrossRefGoogle Scholar
  14. 14.
    R. Martínez-Herrero, P.M. Mejías, Appl. Phys. B 101, 343 (2010) ADSCrossRefGoogle Scholar
  15. 15.
    ISO 11146, Laser and Laser Related Equipment-Test Methods for Laser Beam Widths, Divergence Angles and Beam Propagation Ratios: Parts 1, 2 and 3. International Organization for Standards, Geneva, Switzerland (2005) Google Scholar
  16. 16.
    J. Serna, P.M. Mejías, R. Martínez-Herrero, Opt. Quantum Electron. 24, 873 (1992) CrossRefGoogle Scholar
  17. 17.
    R. Martínez-Herrero, P.M. Mejías, Opt. Express 14, 3294 (2006) ADSCrossRefGoogle Scholar
  18. 18.
    R. Martínez-Herrero, P.M. Mejías, Opt. Express 17, 19857 (2009) ADSCrossRefGoogle Scholar
  19. 19.
    G. Molina-Terriza, J.P. Torres, L. Torner, Phys. Rev. Lett. 88, 0136011 (2002) Google Scholar
  20. 20.
    A.Ya. Bekshaev, M.V. Vasnetsov, V.G. Denisenko, M.S. Soskin, JETP Lett. 75, 127 (2002) ADSCrossRefGoogle Scholar
  21. 21.
    M.V. Vasnetsov, J.P. Torres, D.V. Petrov, L. Torner, Opt. Lett. 28, 2285 (2003) ADSCrossRefGoogle Scholar
  22. 22.
    L. Torner, J.P. Torres, S. Carrasco, Opt. Express 13, 873 (2005) ADSCrossRefGoogle Scholar
  23. 23.
    Y. Liu, C. Gao, M. Gao, F. Li, Opt. Commun. 281, 2008 (1968) Google Scholar
  24. 24.
    R. Martínez-Herrero, A. Manjavacas, Opt. Commun. 282, 473 (2009) ADSCrossRefGoogle Scholar
  25. 25.
    C.N. Alexeyev, M.A. Yavorsky, J. Opt. A 7, 416 (2005) ADSCrossRefGoogle Scholar
  26. 26.
    A.Yu. Bekshaev, M.S. Soskin, M.V. Vasnetsov, Opt. Commun. 249, 367 (2005) ADSCrossRefGoogle Scholar
  27. 27.
    G. Nienhuis, J. Phys. B 39, S529 (2006) ADSCrossRefGoogle Scholar
  28. 28.
    S.J. Van Enk, G. Nienhuis, Phys. Rev. A 76, 053825 (2007) ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • R. Martínez-Herrero
    • 1
  • P. M. Mejías
    • 1
  • M. Larraona-Puy
    • 1
  • A. Manjavacas
    • 2
  1. 1.Departamento de Óptica, Facultad de Ciencias FísicasUniversidad Complutense de MadridMadridSpain
  2. 2.Instituto de ÓpticaCSICMadridSpain

Personalised recommendations