PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 131 > pp. 495-515

RELAY PROPAGATION OF PARTIALLY COHERENT COSH-GAUSSIAN BEAMS IN NON-KOLMOGOROV TURBULENCE

By R. Tao, L. Si, Y. Ma, P. Zhou, and Z. Liu

Full Article PDF (395 KB)

Abstract:
The analytical formulas for the average intensity and power in the bucket of the relay propagation of partially coherent cosh-Gaussian (ChG) beams in non-Kolmogorov turbulence have been derived based on the extended Huygens-Fresnel principle. The influences of the beam parameters, relay system parameters and the non-Kolmogorov turbulence parameters on relay propagation are investigated by numerical examples. Numerical results reveal that the relay propagation of the beam is different from that in the case of Kolmogorov turbulence. It is shown that the relay propagation has advantages over direct propagation, and the relay propagation of partially coherent ChG beams depends greatly on the beam parameters, relay system and the generalized exponent α . The focusability of the beam at the target in non-Kolmogorov turbulence increases with larger inner scale, larger relay system radius, smaller outer scale, and smaller generalized structure constant. The results are useful for the practical applications of relay propagation, i.e., free-space communication.

Citation:
R. Tao, L. Si, Y. Ma, P. Zhou, and Z. Liu, "Relay Propagation of Partially Coherent Cosh-Gaussian Beams in Non-Kolmogorov Turbulence," Progress In Electromagnetics Research, Vol. 131, 495-515, 2012.
doi:10.2528/PIER12070104
http://www.jpier.org/PIER/pier.php?paper=12070104

References:
1. Taha Ahmed, B., D. F. Campillo, and J. L. Masa Campos, "Short range propagation model for a very wideband directive channel at 5.5 GHz band," Progress In Electromagnetics Research, Vol. 130, 319-346, 2012.

2. Siles, , G. A., J. M. Riera, P. Garcia-del-Pino, and J. Romeu, "Atmospheric propagation at 100 and 300 GHz: Assessment of a method to identify rainy conditions during radiosoundings, ," Progress In Electromagnetics Research,, Vol. 130, 257-279, 2012.

3. Zari, , D., , A. Abdolali, M. Soleimani, and V. Nayyeri, "Inhomoge-neous planar layered chiral media: Analysis of wave propagation and scattering using Taylor's expansion, ," Progress In Electromagnetics Research, Vol. 125, 119-135, 2012.
doi:10.2528/PIER11122804

4. Li, , Y. Q., , Z.-S. Wu, and L. G. Wang, "Polarization characteristics of a partially coherent Gaussian Schell-model beam in slant atmospheric turbulence," Progress In Electromagnetics Research , Vol. 121, 453-468, 2011.
doi:10.2528/PIER11092201

5. Owolawi, P. A., "Rainfall rate probability density evaluation and mapping for the estimation of rain attenuation in South Africa and surrounding islands," Progress In Electromagnetics Research , Vol. 112, 155-181, 2011.

6. Wei, H.-Y., , Z.-S. Wu, and Q. Ma, "Log-amplitude variance of laser beam propagation the slant path through the turbulent atmosphere," Progress In Electromagnetics Research, Vol. 108, 277-291, 2010.
doi:10.2528/PIER10072205

7. Li, , J., , Li, J., Y. Chen, S. Xu, Y. Wang, M. Zhou, Q. Zhao, Y. Xin, and F. Chen, "Average intensity and spreading of partially coherent four-petal Gaussian beams in turbulent atmosphere, ," Progress In Electromagnetics B, Vol. 24, 241-261, 2010.
doi:10.2528/PIERB10062306

8. Alsehaili, , M., , S. Noghanian, A.-R. Sebak, and D. A. Buchanan, "Angle and time of arrival statistics of a three dimensional geomet-rical scattering channel model for indoor and outdoor propagation environments," Progress In Electromagnetics Research,, Vol. 109, 191-209, 2010.
doi:10.2528/PIER10081106

9. Ngo Nyobe, E. , E. Pemha, and , "Shape optimization using genentic algorithms and laser beam propagation for the determination of the di®usion coe±cient in a hot turbulent jet or air," Progress In Electromagnetics Research B, Vol. 4, 211-221, 2008.
doi:10.2528/PIERB08010605

10. Ngo Nyobe, , E. , and E. Pemha, "Propagation of a laser beam through a plane and free turbulence heated air flow: Determination of the stochastic characteristics of the laser beam random direction and some experimental results," Progress In Electromagnetics Research,, Vol. 53, 31-53, 2005..
doi:10.2528/PIER04073001

11. Eyyubo·glu, , H. T., Y. Baykal, and Y. Cai, "Scintillations of laser array beams," Appl. Phys. B,, Vol. 91, 265-271, 2008..
doi:10.1007/s00340-008-2966-x

12. Baykal, Y., , H. T. Eyyubo·glu, and Y. Cai, "Scintillations of partially coherent multiple Gaussian beams in turbulence," Appl. Appl., Vol. 48, 1943-1954, 2009.

13. Cai, Y. , L. Zhang, and , "Propagation of a decentered elliptical Gaussian beam through apertured aligned and misaligned paraxial optical systems," Appl. Opt., Vol. 45, 5758-5766, 2006.
doi:10.1364/AO.45.005758

14. Wang, , F., , Y. Cai, H. T. Eyyubo·glu, and Y. K. Baykal, "Average intensity and spreading of partially coherent standard and elegant Laguerre-Gaussian beams in turbulent atmosphere," Progress In Electromagnetics Research,, Vol. 103, 33-56, 2010.
doi:10.2528/PIER10021901

15. Alexopoulos, A., "Effect of atmospheric propagation in RCS predictions," Progress In Electromagnetics Research, Vol. 101, 277-290, 2010..
doi:10.2528/PIER09121509

16. Zhu, , Y., , D. Zhao, and X. Du, "Propagation of stochastic Gaussian-Schell model array beams in turbulent atmosphere," Opt. Express,, Vol. 16, 18437-18442, 2008.
doi:10.1364/OE.16.018437

17. Li, , X., , X. Chen, and X. Ji, "Influence of atmospheric turbulence on the propagation of superimposed partially coherent Hermite-Gaussian beams," Opt. Commun., Vol. 282, 7-13, 2009..
doi:10.1016/j.optcom.2008.09.063

18. Ji, , X., , T. Zhang, and X. Jia, "Beam propagation factor of partially coherent Hermite-Gaussian array beams," J. Opt. A: Pure Appl. Opt.,, Vol. 11, 105705, 2009.
doi:10.1088/1464-4258/11/10/105705

19. Lv, , B. and H. Ma., "Beam propagation properties of radial laser arrays, ," J. Opt Soc. Am. A., Vol. 17, 2005-2009, 2000.
doi:10.1364/JOSAA.17.002005

20. Zhou, P., Z. Liu, X. Xu, and X. Chu, "Propagation of phase-locked Propagation of phase-locked," Opt. Lasers Eng., Vol. 47, 1254-1258, 2009.
doi:10.1016/j.optlaseng.2009.05.008

21. Wu, , Z. S., , H. Y. Wei, R. K. Yang, and L. X. Guo, , "Study on scintillation considering inner- and outer-scales for laser beam propagation on the slant path through the atmospheric turbulence, ," Progress In Electromagnetics Research, Vol. 80, 277-293, 2008.
doi:10.2528/PIER07112505

22. Chu, , X., , Z. Liu, and Y. Wu, , "Propagation of a general multi-Gaussian beam in turbulent atmosphere in a slant path," J. Opt. Soc. Am. A,, Vol. 25, 74-79, 2008..
doi:10.1364/JOSAA.25.000074

23. Cai, , Y., Y. Chen, H. T. Eyyuboglu, and Y. Baykal, "Propagation of laser array beams in a turbulent atmosphere," Appl. Phys. B, Vol. 88, 467-475, 2007.
doi:10.1007/s00340-007-2680-0

24. Gu, , Y. , G. Gbur, and , "Scintillation of airy beam arrays in atmospheric turbulence," Opt. Lett.,, Vol. 35, 3456-3458, 2010.
doi:10.1364/OL.35.003456

25. Barchers, , J. D. and D. L. Fried, "Optimal control of laser beams for propagation through a turbulent medium," J. Opt. Soc. Am. A,, Vol. 19, 1779-1793, 1779.
doi:10.1364/JOSAA.19.001779

26. Duff, , E. A. , D. C. Washburn, and , "The magic of relay mirrors ," Proc. SPIE,, Vol. 5413, 137-144, 2004.
doi:10.1117/12.567096

27. Tolker-Nielsen, T. , T. and G. Oppenhauser, "In-orbit test result of an operational optical intersatellite link between ARTEMIS and SPOT4, SILEX," Proc. SPIE, Vol. 4635, 1-15, 2002.
doi:10.1117/12.464105

28. Chu, X., X., Z. Liu, and Y. Wu, "Relay propagation of partially coherent °attened Gaussian beam in turbulent atmosphere," Opt. Opt., Vol. 282, 4486-4489, 2009.

29. Chu, , X., , Z. Liu, and Y. Wu, "Comparison between relay propagation and direct propagation of Gaussian-Schell-model beam in turbulent atmosphere along a slant path," Chin. Phys. B,, Vol. 19, 094201, 2010.
doi:10.1088/1674-1056/19/9/094201

30. Chu, X., " The relay propagation of partially coherent cosh-The relay propagation of partially coherent cosh-The relay propagation of partially coherent cosh-Gaussian-Schell beams in turbulent atmosphere," Appl. Phys. B, Vol. 98, 573-579, 2010.
doi:10.1007/s00340-009-3769-4

31. Chu, , X., "Evolution of beam quality and shape of Hermite-Gaussian beam in non-Kolmogorov turbulence, ," Progress In Electromagnetics Research, Vol. 120, 339-353, 2011.

32. Zilberman, A., E. Golbraikh, N. S. Kopeika, A. Virtser, I. Kupershmidt, and Y. Shtemler, "Lidar study of aerosol turbulence characteristics in the troposphere: Kolmogorov and non-Kolmogorov turbulence ," Atmos. Res.,, Vol. 88, 66-77, 2008.
doi:10.1016/j.atmosres.2007.10.003

33. Toselli, I., , L. C. Andrews, R. L. Phillips, and V. Ferrero, "Free space optical system performance for laser beam propagationthrough non Kolmogorov turbulence for uplink and downlink paths ," Proc. SPIE,, Vol. 6708, 670803, 2007..
doi:10.1117/12.732595

34. Rao, , C., W. Jiang, and N. Ling, "Spatial and temporal charac- terization of phase °uctuations in non-Kolmogorov atmospheric turbulence," J. Mod. Opt., Vol. 47, 1111-1126, 2000.
doi:10.1080/09500340008233408

35. 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, 715-717, 2010.
doi:10.1364/OL.35.000715

36. Zhou, P., , Y. Ma, X. Wang, H. Zhao, and Z. Li, "Average spreading of a Gaussian beam array in non-Kolmogorov turbulence," Opt. Lett.,, Vol. 35, 1043-1045, 2010.
doi:10.1364/OL.35.001043

37. Korotkova, , O. , E. Shchepakina, and , "Color changes in stochastic light fields propagating in non-Kolmogorov turbulence," Opt. Lett., Vol. 35, 3772-3774, 2010.
doi:10.1364/OL.35.003772

38. Cang, , J. and X. Liu, "Average capacity of free-space optical systems for a partially coherent beam propagating through non-Kolmogorov turbulence," Opt. Lett.,, Vol. 36, 3335-3337, 2011.
doi:10.1364/OL.36.003335

39. Tang, , H., , B. Ou, B. Luo, H. Guo, and A. Dang, "Average spreading of a radial Gaussian beam array in non-Kolmogorov turbulence ," J. Opt. Soc. Am. A,, Vol. 28, 1016-1021, 2011.
doi:10.1364/JOSAA.28.001016

40. Shchepakina, E., O. Korotkova, and , "Second-order statisticsof stochastic electromagnetic beams propagating through non-Kolmogorov turbulence," Opt. Express,, Vol. 18, 10650-10658, 2010.
doi:10.1364/OE.18.010650

41. Xu, , H., , Z. Cui, and J. Qu, "Propagation of elegant Laguerre-Gaussian beam in non-Kolmogorov turbulence," Opt. Express,, Vol. 19, 21163-21173, 2011.
doi:10.1364/OE.19.021163

42. Zhang, Y., , Y. Song, Z. Chen, J. Ji, and Z. Shi, "Virtual sources for a cosh-Gaussian beam," Opt. Lett.,, Vol. 32, 292-294, 2007.
doi:10.1364/OL.32.000292

43. Eyyuboglu, , H. T., Y. Baykal, and , "Average intensity and spreading of cosh-Gaussian laser beams in the turbulent atmosphere," Appl. Opt., Vol. 44, 976-983, 2005.
doi:10.1364/AO.44.000976

44. Chu, X., C. Qiao, and X. Feng, "The effect of non-Kolmogorov turbulence on the propagation of cosh-Gaussian beam," Opt. Commun., Vol. 283, 3398-3403, 2010.
doi:10.1016/j.optcom.2010.04.092

45. Eyyubo·glu, , H. T. , Y. Baykal, and , "Analysis of reciprocity of cos-Gaussian and cosh-Gaussian laser beams in a turbulent atmosphere ," Opt. Express, Vol. 12, 4659-4674, 2004.
doi:10.1364/OPEX.12.004659

46. Jana, , S. and S. Konar, "Tunable spectral switching in far field with a chirped cosh-Gaussian pulse," Opt. Commun., Vol. 267, 24-31, 2006.
doi:10.1016/j.optcom.2006.06.013

47. Konar, , S. , S. Jana, and , "Linear and nonlinear propagation of sinh-Gaussian pulses in dispersive media possessing Kerr nonlinearity," Opt. Commun.,, Vol. 236, 7-20, 2004.
doi:10.1016/j.optcom.2004.03.012

48. Lu, , S. and B. Lu, "Spatial coherence properties and directionality of partially coherent cosh-Gaussian beams ," Opt. Commun.,, Vol. 279, 150-158, 2007.
doi:10.1016/j.optcom.2007.07.019

49. Ji, , X., E. Zhang, and B. Lu, "Changes in the spectrum of Gaussian Schell-model beams propagating through turbulent atmosphere," Opt. Commun., Vol. 259, 1, 2006..
doi:10.1016/j.optcom.2005.08.019

50. Pu, J., "Invariance of spectrum and polarization of electromagnetic Gaussian Schell-model beams propagation in free space," Chin. Opt. Lett.,, Vol. 4, 196, 2006.

51. Ding, , D., X. Liu, and , "Approximate description for Bessel, Bessel-Gauss, and Gaussian beams with finite aperture," J. Opt. Soc. Am. A, Vol. 16, 1286, 1999.
doi:10.1364/JOSAA.16.001286

52. Wen, , J. J. , M. A. Breazeale, and , "A diffraction beam field expressed as the superposition of Gaussian beams," J. Acoust. Soc. Am.,, Vol. 83, 1752-1756, 1988.
doi:10.1121/1.396508

53. Tao, , R.-M., , L. Si, Y.-X. Ma, P. Zhou, and Z.-J. Liu, "Average spreading of apertured laser beams with beam distortions in non-Kolmogorov turbulence," Journal of Electromagnetic Waves and Applications,, Vol. 26, No. 8--9, 1237-1247, 2012.
doi:10.1080/09205071.2012.710723


© Copyright 2014 EMW Publishing. All Rights Reserved