OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 20 — Oct. 4, 2004
  • pp: 4659–4674

Analysis of reciprocity of cos-Gaussian and cosh-Gaussian laser beams in a turbulent atmosphere

Halil Tanyer Eyyuboğlu and Yahya Baykal  »View Author Affiliations


Optics Express, Vol. 12, Issue 20, pp. 4659-4674 (2004)
http://dx.doi.org/10.1364/OPEX.12.004659


View Full Text Article

Enhanced HTML    Acrobat PDF (770 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In a turbulent atmosphere, starting with a cos-Gaussian excitation at the source plane, the average intensity profile at the receiver plane is formulated. This average intensity profile is evaluated against the variations of link lengths, turbulence levels, two frequently used free-space optics wavelengths, and beam displacement parameters. We show that a cos-Gaussian beam, following a natural diffraction, is eventually transformed into a cosh-Gaussian beam. Combining our earlier results with the current findings, we conclude that cos-Gaussian and cosh-Gaussian beams act in a reciprocal manner after propagation in turbulence. The rates (paces) of conversion in the two directions are not the same. Although the conversion of cos-Gaussian beams to cosh-Gaussian beams can happen over a wide range of turbulence levels (low to moderate to high), the conversion of cosh-Gaussian beams to cos-Gaussian beams is pronounced under relatively stronger turbulence conditions. Source and propagation parameters that affect this reciprocity have been analyzed.

© 2004 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.3310) Atmospheric and oceanic optics : Laser beam transmission

ToC Category:
Research Papers

History
Original Manuscript: July 7, 2004
Revised Manuscript: August 15, 2004
Published: October 4, 2004

Citation
Halil Eyyubo�?lu and Yahya Baykal, "Analysis of reciprocity of cos-Gaussian and cosh- Gaussian laser beams in a turbulent atmosphere," Opt. Express 12, 4659-4674 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-20-4659


Sort:  Journal  |  Reset  

References

  1. A. A. Tovar and L. W. Casperson, "Production and propagation of Hermite sinusoidal-Gaussian laser beams,�?? J. Opt. Soc. Am. A 15, 2425�??2432 (1998). [CrossRef]
  2. L. W. Casperson and A. A. Tovar, �??Hermite sinusoidal-Gaussian beams in complex optical systems,�?? J. Opt. Soc. Am. A 15, 954�??961 (1998). [CrossRef]
  3. B. Lü, H. Ma, and B. Zhang, �??Propagation properties of cosh-Gaussian beams,�?? Opt. Commun. 164, 165�??170 (1999). [CrossRef]
  4. D. Zhao, H. Mao, and H. Liu, �??Propagation of off-axial Hermite-cosh-Gaussian laser beams,�?? J. Opt. A 6, 77�??83 (2004). [CrossRef]
  5. S. Yu, H. Guo, X. Fu, and W. Hu, �??Propagation properties of elegant Hermite-cosh-Gaussian laser beams,�?? Opt. Commun. 204, 59�??66 (2002). [CrossRef]
  6. S. Konar and J. Soumendu, �??Linear and nonlinear propagation of sinh-Gaussian pulses in dispersive media possessing Kerr nonlinearity,�?? Opt. Commun. 236, 7�??20 (2004). [CrossRef]
  7. N. Zhou and G. Zeng, �??Propagation properties of Hermite-cosine-Gaussian beams through a paraxial optical ABCD system with hard-edge aperture,�?? Opt. Commun. 232, 49�??59 (2004). [CrossRef]
  8. Y. Song. G. Wangyi, and G. Hong, �??Optical resonator with hyperbolic-cosine-Gaussian modes,�?? Opt. Commun. 221, 241�??247 (2003). [CrossRef]
  9. Z. I. Feizulin and Y. Kravtsov, �??Broadening of a laser beam in a turbulent medium,�?? Radiophys. Quantum Electron. 10, 33�??35 (1967). [CrossRef]
  10. A. I. Kon and V. I. Tatarskii, �??On the theory of propagation of partially coherent light beams in a turbulent atmosphere,�?? Radiophys. Quantum Electron. 15, 1187�??1192 (1972). [CrossRef]
  11. M. S. Belen�??kii, A. I. Kon, and V. L. Mironov, �??Turbulent distortions of the spatial coherence of a laser beam,�?? Sov. J. Quantum Electron. 7, 287�??290 (1977). [CrossRef]
  12. S. C. H. Wang and M. A. Plonus, �??Optical beam propagation for a partially coherent source in the turbulent atmosphere,�?? J. Opt. Soc. Am. 69, 1297�??1304 (1979). [CrossRef]
  13. M. S. Belen�??kii and V. L. Mironov, �??Phase fluctuations of a multimode laser field in a turbulent atmosphere,�?? Sov. J. Quantum Electron. 12, 3�??6 (1982). [CrossRef]
  14. C. Y. Young, Y. V. Gilchrest, and B. R. Macon, �??Turbulence induced beam spreading of higher order mode optical waves,�?? Opt. Eng. 41, 1097�??1103 (2002). [CrossRef]
  15. Y. Baykal, �??The correlation and structure functions of Hermite-sinusoidal-Gaussian laser beams in a turbulent atmosphere,�?? J. Opt. Soc. Am. A 21, 1290�??1299 (2004). [CrossRef]
  16. H. T. Eyyubo�?lu and Y. Baykal, �??Average intensity and spreading of cosh-Gaussian laser beams in the turbulent atmosphere,�??Applied Optics, submitted for publication.
  17. A. Ishimaru, �??Phase fluctuations in a turbulent medium,�?? Applied Optics 16, 3190-3192 (1977). [CrossRef] [PubMed]
  18. I. S. Gradysteyn, and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic Press, New York, 1980).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited