Applied Physics B

, 91:611 | Cite as

Propagation aspects of Mathieu–Gaussian beams in turbulence



Based on our recent source plane formulation, the propagation characteristics of Mathieu–Gaussian beams in turbulent atmosphere are investigated. In this connection, the average receiver plane intensity expression is deduced using the Huygens–Fresnel integral. Our results offered in the form of graphical illustrations reveal that, for some settings of source and propagation parameters, the center of the source beam is evacuated after propagation, while the initially smaller side lobes begin to grow. In a parallel development, the angular distribution of the beam also changes. At small Gaussian source sizes and transverse components of the wave vector, the source beam profile remains almost invariant throughout the propagation. The larger refractive index structure constant values cause the final Gaussian beam profile to be attained at earlier propagation distances. Smaller refractive index structure constants, on the other hand, do not change the beam profile substantially from that of free space.


Bessel Function Gaussian Beam Side Lobe Source Plane Source Beam 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    J.C. Gutierrez-Vega, M.D. Iturbe-Castillo, S. Chavez-Cerda, Opt. Lett. 25, 1493 (2000)CrossRefADSGoogle Scholar
  2. 2.
    J.C. Gutierrez-Vega, M.A. Bandres, J. Opt. Soc. Am. A 22, 289 (2005)CrossRefADSMathSciNetGoogle Scholar
  3. 3.
    J.C. Gutierrez-Vega, M.A. Bandres, J. Opt. Soc. Am. A 24, 215 (2007)CrossRefADSGoogle Scholar
  4. 4.
    A. Chafiq, Z. Hricha, A. Belafhal, Opt. Commun. 265, 594 (2006)CrossRefADSGoogle Scholar
  5. 5.
    A. Chafiq, Z. Hricha, A. Belafhal, Opt. Commun. 275, 165 (2007)CrossRefADSGoogle Scholar
  6. 6.
    A. Chafiq, Z. Hricha, A. Belafhal, Opt. Commun. 253, 223 (2005)ADSCrossRefGoogle Scholar
  7. 7.
    A. Chafiq, Z. Hricha, A. Belafhal, Opt. Commun. 278, 142 (2007)CrossRefADSGoogle Scholar
  8. 8.
    M. Guizar-Sicairos, J.C. Gutierrez-Vega, Opt. Lett. 31, 2912 (2006)CrossRefADSGoogle Scholar
  9. 9.
    R.I. Hernandez-Aranda, J.C. Gutierrez-Vega, Opt. Express 14, 8974 (2006)CrossRefADSGoogle Scholar
  10. 10.
    R.J. Noriega-Manez, J.C. Gutierrez-Vega, Opt. Express 15, 16328 (2007)CrossRefADSGoogle Scholar
  11. 11.
    H.T. Eyyuboğlu, A study on source plane Mathieu beams, to be published in Appl. Phys. BGoogle Scholar
  12. 12.
    H.T. Eyyuboğlu, Appl. Phys. B 88, 259 (2007)CrossRefADSGoogle Scholar
  13. 13.
    H.T. Eyyuboğlu, Y. Baykal, E. Sermutlu, Opt. Commun. 265, 399 (2006)CrossRefADSGoogle Scholar
  14. 14.
    H.T. Eyyuboğlu, Opt. Commun. 245, 37 (2005)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Electronic and Communication Engineering DepartmentÇankaya UniversityAnkaraTurkey

Personalised recommendations