volume | PIER Journals

Abstract

Based on the extended Huygens-Fresnel principle, the expressions of degree of coherence, ellipticity, and beam wander of multi-Gaussian Schell-model beam through the anisotropic turbulence are derived. Their statistical properties in anisotropic turbulence are illustrated numerically. The results show that the beam width and beam wander of multi-Gaussian Schell-model beam decrease with the increase of the mode order or the decrease of the turbulence structure parameter and initial coherence and that the degree of coherence of multi-Gaussian Schell-model beam decreases with the increase of the turbulence structure parameter or the decrease of the mode order. Furthermore, the beam wander of multi-Gaussian Schell-model beam is smaller than that of Gaussian Schell-model beam under the same conditions.

1. Shirai, T., A. Dogariu, and E. Wolf, "Directionality of Gaussian Schell-model beams propagating in atmospheric turbulence," Opt. Lett., Vol. 28, No. 8, 610, 2003.
doi:10.1364/OL.28.000610 Google Scholar

2. Wu, G., H. Guo, S. Yu, and B. Luo, "Spreading and direction of Gaussian-Schell model beam through a non-Kolmogorov turbulence," Opt. Lett., Vol. 35, No. 5, 715-717, 2010.
doi:10.1364/OL.35.000715 Google Scholar

3. Gori, F., V. Ramirezsanchez, M. Santarsiero, and T. Shirai, "On genuine cross-spectral density matrices," Opt. A: Pure Appl. Opt., Vol. 11, No. 8, 85706-85707, 2009.
doi:10.1088/1464-4258/11/8/085706 Google Scholar

4. Korotkova, O., S. Sahin, and E. Shchepakina, "Multi-Gaussian Schell-model beams," J. Opt. Soc. Am. A, Vol. 29, No. 10, 2159-2164, 2012.
doi:10.1364/JOSAA.29.002159 Google Scholar

5. Zhou, Y., Y. Yuan, J. Qu, and W. Huang, "Propagation properties of Laguerre-Gaussian correlated Schell-model beam in non-Kolmogorov turbulence," Opt. Express, Vol. 24, No. 10, 10682-10693, 2016.
doi:10.1364/OE.24.010682 Google Scholar

6. Mei, Z. and O. Korotkova, "Random sources generating ring-shaped beams," Opt. Lett., Vol. 38, No. 2, 91-93, 2013.
doi:10.1364/OL.38.000091 Google Scholar

7. Wu, G., W. Dai, H. Tang, and H. Guo, "Beam wander of random electromagnetic Gaussian-shell model vortex beams propagating through a Kolmogorov turbulence," Opt. Communications, Vol. 336, 55-58, 2015.
doi:10.1016/j.optcom.2014.08.052 Google Scholar

8. Tofsted, D., "Outer-scale effects on beam-wander and angle-of-arrival variances," Appl. Opt., Vol. 31, No. 27, 5865-5870, 1992.
doi:10.1364/AO.31.005865 Google Scholar

9. Zunino, L., D. Gulich, G. Funes, and D. Perez, "Turbulence-induced persistence in laser beam wandering," Opt. Lett., Vol. 40, No. 13, 3145-3148, 2015.
doi:10.1364/OL.40.003145 Google Scholar

10. Chen, X. and X. Ji, "Directionality of partially coherent annular flat-topped beams propagating through atmospheric turbulence," Opt. Communications, Vol. 281, No. 18, 4765-4770, 2008.
doi:10.1016/j.optcom.2008.06.012 Google Scholar

11. Gbur, G. and E. Wolf, "Spreading of partially coherent beams in random media," J. Opt. Soc. Am. A, Vol. 19, No. 8, 1592, 2002.
doi:10.1364/JOSAA.19.001592 Google Scholar

12. Yao, M., I. Toselli, and O. Korotkova, "Propagation of electromagnetic stochastic beams in anisotropic turbulence," Opt. Express, Vol. 22, No. 26, 31608-31619, 2014.
doi:10.1364/OE.22.031608 Google Scholar

13. Wang, M., X. Yuan, J. Li, X. Zhou, Q. Li, and Z. Zhou, "Propagation of radial partially coherent beams in anisotropic non-kolmogorov turbulence," Acta Optica Sinica, Vol. 38, No. 3, 0306003, 2018.
doi:10.3788/AOS201838.0306003 Google Scholar

14. Cui, L., B. Xue, and F. Zhou, "Generalized anisotropic turbulence spectra and applications in the optical waves’ propagation through anisotropic turbulence," Opt. Express, Vol. 23, No. 23, 30088, 2015.
doi:10.1364/OE.23.030088 Google Scholar

15. Cheng, M., L. Guo, J. Li, X. Yan, K. Dong, and Y. You, "Average intensity and spreading of a radially polarized multi-Gaussian Schell-model beam in anisotropic turbulence," Quant. Spectrosc. Radiat. Transf., Vol. 218, 12-20, 2018.
doi:10.1016/j.jqsrt.2018.06.024 Google Scholar

16. Wang, F., C. Liang, Y. Yuan, and Y. Cai, "Generalized multi-Gaussian correlated Schell-model beam: from theory to experiment," Opt. Express, Vol. 22, No. 19, 23456, 2014.
doi:10.1364/OE.22.023456 Google Scholar

17. Yuan, Y., X. Liu, F. Wang, Y. Chen, Y. Cai, and J. Qu, "Scintillation index of a multi-Gaussian Schell-model beam in turbulent atmosphere," Opt. Communications, Vol. 305, No. 3, 57-65, 2013.
doi:10.1016/j.optcom.2013.04.076 Google Scholar

18. Zhang, Y., L. Liu, C. Zhao, and Y. Cai, "Multi-Gaussian Schell-model vortex beam," Phys. Let. A, Vol. 378, No. 9, 750-754, 2014.
doi:10.1016/j.physleta.2013.12.039 Google Scholar

19. Wang, F. and O. Korotkova, "Random optical beam propagation in anisotropic turbulence along horizontal links," Opt. Express, Vol. 24, No. 21, 24422-24434, 2016.
doi:10.1364/OE.24.024422 Google Scholar

20. Bateman, H., A. Erdélyi, H. Haeringen, and L. Kok, Tables of Integral Transforms, 653-667, McGraw-Hill, 1954.

21. Andrews, L. and R. Phillips, Laser Beam Propagation through Random Media, 2nd Ed., 201-205, SPIE Press, 2005.
doi:10.1117/3.626196

Dr. Jie Shu

Dr. Huafeng Xu

Dr. Zheng-Lan Zhou

Professor Jun Qu