Propagation properties of partially coherent flat-topped beam array in oceanic turbulence

XU Ketao; YUAN Yangsheng; FENG Xia; QU Jun

doi:10.7510/jgjs.issn.1001-3806.2015.06.031

Volume 39 Issue 6

Sep. 2015

Article Contents

Turn off MathJax

Article Navigation > LASER TECHNOLOGY > 2015 > 39(6): 877-884

Citation:

Propagation properties of partially coherent flat-topped beam array in oceanic turbulence

1.
College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000, China

Corresponding author: QU Jun, qujun70@mail.ahnu.edu.cn
Received Date: 2014-08-20
Accepted Date: 2014-10-16

Abstract

In order to study propagation properties of partially coherent flat-topped beam array(PCFT) in the oceanic turbulence, based on the extended Huygens-Fresnel principle and Wigner distribution function, combined with the spatial power spectrum of oceanic turbulence, analytical formulas of M2 factor,effective radius of curvature and Rayleigh range of PCFT beam array in oceanic turbulence were obtained and the relationship between M2 factor,effective radius of curvature and Rayleigh range of PCFT beam array in oceanic turbulence and the coherent width, temperature change, salinity change, dissipation rate of turbulent kinetic energy, dissipation rate of mean-squared temperature were analyzed and discussed. The results show that, under the same condition, when the propagation distance is more than 400m, compared with the partially coherent Gaussian beam, the partially coherent flat-topped beam and the partially coherent Gaussian beam array, PCFT beam array is less affected by the oceanic turbulence and the propagation characteristic is more stable. The results have certain reference value for selecting the suitable beams propagating in oceanic turbulence.
- oceanic optics,
- extended Huygens-Fresnel principle,
- Wigner distribution function,
- partially coherent flat-topped beam array,
- M2 factor,
- effective radius of curvature,
- Rayleigh range

References

[1]	EYYUBOGLU H T. Propagation and coherence properties of higher order partially coherent dark hollow beams in turbulence[J]. Optics Laser Technology, 2008, 40(1): 156-166.
[2]	ZHU Z W, XU J C, CANG J. Propagation properties of J0-correlated partially coherent flt-topped beams in a turbulent atmosphere[J]. Laser Technology, 2010, 34(4): 565-568 (in Chinese).
[3]	RODRIGO J N M, JULIO C G V. Rytov theory for Helmholtz-Gauss beams in turbulent atmosphere [J]. Optics Express, 2007, 15(25): 16328-16341.
[4]	FEI J C, CUI Z F, WANG J S, et al. Propagation characteristics of elegant Laguerre-Gaussian beam passing through a circular aperture in turbulent atmosphere[J]. Laser Technology, 2011, 35(6): 849-853 (in Chinese).
[5]	CHU X. The relay propagation of partially coherent cosh-Gaussian-Schell beams in turbulent atmosphere[J]. Applied Physics, 2010,B98(2/3): 573-579.
[6]	ZHOU P, MA Y, WANG X, et al. Average spreading of a Gaussian beam array in non-Kolmogorov turbulence[J]. Optics Letters, 2010, 35(7): 1043-1045.
[7]	WANG B, FEI J Ch, CUI Zh F, et al. Research of degree of polarization of PCELG beam propagating through a circular aperture[J]. Laser Technology, 2013, 37(5): 672-678 (in Chinese).
[8]	CHEN Z, LI C, DING P, et al. Experimental investigation on the scintillation index of vortex beams propagating in simulated atmospheric turbulence[J]. Applied Physics, 2012, B107(2): 469-472.
[9]	ALAYINEJAD M, GHAFARY B, KASHANI F D. Analysis of the propagation of flat-topped beam with various beam orders through turbulent atmosphere[J]. Optics and Lasers in Engineering, 2008, 46(1):1-5.
[10]	ZHANG R, WANG X Z, CHENG X. Far-zone polarization distribution properties of partially coherent beams with non-uniform source polarization distributions in turbulent atmosphere[J]. Optics Express, 2012, 20(2): 1421-1435.
[11]	ZHAO T J, PU Z C. Effects of the aperture on the on-axis polarization properties of partially coherent light[J]. Laser Technology, 2008, 32(4): 424-433 (in Chinese).
[12]	JI X L, SHAO X L. Influence of turbulence on the propagation factor of Gaussian Schell-model array beams. Optics Communications, 2010, 283(6): 869-873.
[13]	WU J. Propagation of a Gaussian-Schell beam through turbulent media[J]. Journal of Modern Optics, 1990, 37(4): 671-684.
[14]	PAN L Zh. Far-field behavior of partially polarized Gaussian Schell-model beams diffracted through an aperture[J]. Acta Optica Sinica, 2006, 26(8): 1250-1255 (in Chinese).
[15]	WANG F, CAI Y J, KOROTKOVA O. Partially coherent standard and elegant Laguerre-Gaussian beams of all orders[J]. Optics Express, 2009, 17(25): 22366.
[16]	ZHONG Y L, CUI Z F, SHI J P, et al. Propagation properties of partially coherent flat-topped beam array in a turbulent atmosphere [J]. Laser Technology, 2010, 34(4): 542-547(in Chinese).
[17]	WU J, BOARDMAN A D. Coherence length of a Gaussian-Schell beam in atmospheric turbulence[J]. Journal of Modern Optics, 1991, 38(7): 1355-1363.
[18]	WANG F, CAI Y J. Second-order statistics of a twisted Gaussian Schell-model beam in turbulent atmosphere[J]. Optics Express, 2010, 18(24): 24661-24672.
[19]	L B D, LUO Sh R. Beam propagation factor of aperture super-Gaussian beams[J]. Optik, 2001, 112(11): 503-506.
[20]	L B D, MA H. A comparative study of elegant and standard Hermite-Gaussian beams[J].Optics Communications, 2000, 174(1): 99-104.
[21]	ZHOU P, MA Y, WANG X, et al. Average spreading of a Gaussian beam array in non-Kolmogorov turbulence[J]. Optics Letters, 2012,35(7): 1043-1045.
[22]	ZHOU P, LIU Z, XU X, et al. Propagation of coherently combined flattened laser beam array in turbulent atmosphere.Optics Laser Technology, 2009, 41(4): 403-407.
[23]	ZHOU P, LIU Z, XU X, et al . Propagation of phase-locked partially coherent flattened beam array in turbulent atmosphere[J]. Optics and Lasers in Engineering, 2009, 47(1): 1254-1258.
[24]	EYYUBOGLU H T, BAYKAL Y, CAI Y J. Scintillations of laser array beams[J]. Applied Physics, 2008, B91(2): 265-271.
[25]	CAI Y J, HE S. Propagation of various dark hollow beams in a turbulent atmosphere[J]. Optics Express, 2006, 14(4): 1353-1367.
[26]	WANG H T, LIU D, ZHOU Z. The propagation of radially polarized partially coherent beam through an optical system in turbulent atmosphere[J]. Applied Physics, 2010,B101(12): 361-369.
[27]	JI X L, CHEN X W, L B D.Spreading and directionality of partially coherent Hermite-Gaussian beams propagating through atmosphere turbulence[J]. Journal of the Optics Society of America, 2008, A25(1): 21-28.
[28]	KOROTKOVA O, FARWELL N. Effect of oceanic turbulence on polarization of stochastic beams[J]. Optics Communication, 2011, 287(7): 1740-1746.
[29]	HANSON F, LASHER M. Effects of underwater turbulence on laser beam propagation and coupling into single-mode optical fiber[J]. Applied Optics, 2010, 49(16): 3224-3230.
[30]	TANG M M, ZHAO D M. Propagation of radially polarized beams in the oceanic turbulence[J]. Applied Physics, 2013, B111(4): 665-670.
[31]	ZHOU Y, CHEN Q , ZHAO D M. Propagation of astigmatic stochastic electromagnetic beams in oceanic turbulence[J]. Applied Physics, 2013, B114(4): 475-482.
[32]	ZHOU Y, HUANG K, ZHAO D M. Changes in the statistical properties of stochastic anisotropic electromagnetic beams propagating through the oceanic turbulence[J]. Applied Physics, 2012,B109(2): 289-294.
[33]	TANG M M, ZHAO D M. Spectral changes in stochastic anisotropic electromagnetic beams propagating through turbulent ocean[J]. Optics Communications, 2014, 312(3) : 89-93.
[34]	MANDEL L, WOLF E. Optical coherence and quantum optics[M]. Cambridge,UK: Cambridge University Press, 1995: 100-125.
[35]	DAN Y Q, ZHANG B. Beam propagation factor of partially coherent flat-topped beams in a turbulent atmosphere[J]. Optics Express, 2008, 16(20): 15563-15575.
[36]	FARWELL N, KOROTKOVA O. Intensity and coherence properties of light in oceanic turbulence[J]. Optics Communication, 2012, 285(6): 872-875.
[37]	LU W, LIU L R, SUN J F. Influence of temperature and salinity fluctuations on propagation behaviour of partially coherence in oceanic turbulence[J]. Journal of Optics,2006, A8(12): 1052-1058.
[38]	JI X L, EYYUBOGLU H T, BAYKAL Y. Influence of turbulence on the effective radius of curvature of radial Gaussian array beams[J]. Optics Express, 2010, 18(7): 6922-6928.
[39]	EYYUBOGLU H T, BAYKAL Y, JI X L. Radius of curvature variations for annular, dark hollow and flat topped beams in turbulence[J]. Applied Physics, 2010,B99(4): 801-807.
[40]	GBUR G, WOLF E. The Rayleigh range of Gaussian Schell-model beams[J]. Journal of Modern Optics, 2010, 48(11): 1735-1741.

Proportional views

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Get Citation

PDF

XML

Article views(5181) PDF downloads(415) Cited by()

Proportional views

Propagation properties of partially coherent flat-topped beam array in oceanic turbulence

Corresponding author: QU Jun, qujun70@mail.ahnu.edu.cn

1. College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000, China

Received Date: 2014-08-20

Accepted Date: 2014-10-16

Available Online: 2015-11-25

Abstract: In order to study propagation properties of partially coherent flat-topped beam array(PCFT) in the oceanic turbulence, based on the extended Huygens-Fresnel principle and Wigner distribution function, combined with the spatial power spectrum of oceanic turbulence, analytical formulas of M2 factor,effective radius of curvature and Rayleigh range of PCFT beam array in oceanic turbulence were obtained and the relationship between M2 factor,effective radius of curvature and Rayleigh range of PCFT beam array in oceanic turbulence and the coherent width, temperature change, salinity change, dissipation rate of turbulent kinetic energy, dissipation rate of mean-squared temperature were analyzed and discussed. The results show that, under the same condition, when the propagation distance is more than 400m, compared with the partially coherent Gaussian beam, the partially coherent flat-topped beam and the partially coherent Gaussian beam array, PCFT beam array is less affected by the oceanic turbulence and the propagation characteristic is more stable. The results have certain reference value for selecting the suitable beams propagating in oceanic turbulence.

HTML

Reference (40)

[1]	EYYUBOGLU H T. Propagation and coherence properties of higher order partially coherent dark hollow beams in turbulence[J]. Optics Laser Technology, 2008, 40(1): 156-166.
[2]	ZHU Z W, XU J C, CANG J. Propagation properties of J0-correlated partially coherent flt-topped beams in a turbulent atmosphere[J]. Laser Technology, 2010, 34(4): 565-568 (in Chinese).
[3]	RODRIGO J N M, JULIO C G V. Rytov theory for Helmholtz-Gauss beams in turbulent atmosphere [J]. Optics Express, 2007, 15(25): 16328-16341.
[4]	FEI J C, CUI Z F, WANG J S, et al. Propagation characteristics of elegant Laguerre-Gaussian beam passing through a circular aperture in turbulent atmosphere[J]. Laser Technology, 2011, 35(6): 849-853 (in Chinese).
[5]	CHU X. The relay propagation of partially coherent cosh-Gaussian-Schell beams in turbulent atmosphere[J]. Applied Physics, 2010,B98(2/3): 573-579.
[6]	ZHOU P, MA Y, WANG X, et al. Average spreading of a Gaussian beam array in non-Kolmogorov turbulence[J]. Optics Letters, 2010, 35(7): 1043-1045.
[7]	WANG B, FEI J Ch, CUI Zh F, et al. Research of degree of polarization of PCELG beam propagating through a circular aperture[J]. Laser Technology, 2013, 37(5): 672-678 (in Chinese).
[8]	CHEN Z, LI C, DING P, et al. Experimental investigation on the scintillation index of vortex beams propagating in simulated atmospheric turbulence[J]. Applied Physics, 2012, B107(2): 469-472.
[9]	ALAYINEJAD M, GHAFARY B, KASHANI F D. Analysis of the propagation of flat-topped beam with various beam orders through turbulent atmosphere[J]. Optics and Lasers in Engineering, 2008, 46(1):1-5.
[10]	ZHANG R, WANG X Z, CHENG X. Far-zone polarization distribution properties of partially coherent beams with non-uniform source polarization distributions in turbulent atmosphere[J]. Optics Express, 2012, 20(2): 1421-1435.
[11]	ZHAO T J, PU Z C. Effects of the aperture on the on-axis polarization properties of partially coherent light[J]. Laser Technology, 2008, 32(4): 424-433 (in Chinese).
[12]	JI X L, SHAO X L. Influence of turbulence on the propagation factor of Gaussian Schell-model array beams. Optics Communications, 2010, 283(6): 869-873.
[13]	WU J. Propagation of a Gaussian-Schell beam through turbulent media[J]. Journal of Modern Optics, 1990, 37(4): 671-684.
[14]	PAN L Zh. Far-field behavior of partially polarized Gaussian Schell-model beams diffracted through an aperture[J]. Acta Optica Sinica, 2006, 26(8): 1250-1255 (in Chinese).
[15]	WANG F, CAI Y J, KOROTKOVA O. Partially coherent standard and elegant Laguerre-Gaussian beams of all orders[J]. Optics Express, 2009, 17(25): 22366.
[16]	ZHONG Y L, CUI Z F, SHI J P, et al. Propagation properties of partially coherent flat-topped beam array in a turbulent atmosphere [J]. Laser Technology, 2010, 34(4): 542-547(in Chinese).
[17]	WU J, BOARDMAN A D. Coherence length of a Gaussian-Schell beam in atmospheric turbulence[J]. Journal of Modern Optics, 1991, 38(7): 1355-1363.
[18]	WANG F, CAI Y J. Second-order statistics of a twisted Gaussian Schell-model beam in turbulent atmosphere[J]. Optics Express, 2010, 18(24): 24661-24672.
[19]	L B D, LUO Sh R. Beam propagation factor of aperture super-Gaussian beams[J]. Optik, 2001, 112(11): 503-506.
[20]	L B D, MA H. A comparative study of elegant and standard Hermite-Gaussian beams[J].Optics Communications, 2000, 174(1): 99-104.
[21]	ZHOU P, MA Y, WANG X, et al. Average spreading of a Gaussian beam array in non-Kolmogorov turbulence[J]. Optics Letters, 2012,35(7): 1043-1045.
[22]	ZHOU P, LIU Z, XU X, et al. Propagation of coherently combined flattened laser beam array in turbulent atmosphere.Optics Laser Technology, 2009, 41(4): 403-407.
[23]	ZHOU P, LIU Z, XU X, et al . Propagation of phase-locked partially coherent flattened beam array in turbulent atmosphere[J]. Optics and Lasers in Engineering, 2009, 47(1): 1254-1258.
[24]	EYYUBOGLU H T, BAYKAL Y, CAI Y J. Scintillations of laser array beams[J]. Applied Physics, 2008, B91(2): 265-271.
[25]	CAI Y J, HE S. Propagation of various dark hollow beams in a turbulent atmosphere[J]. Optics Express, 2006, 14(4): 1353-1367.
[26]	WANG H T, LIU D, ZHOU Z. The propagation of radially polarized partially coherent beam through an optical system in turbulent atmosphere[J]. Applied Physics, 2010,B101(12): 361-369.
[27]	JI X L, CHEN X W, L B D.Spreading and directionality of partially coherent Hermite-Gaussian beams propagating through atmosphere turbulence[J]. Journal of the Optics Society of America, 2008, A25(1): 21-28.
[28]	KOROTKOVA O, FARWELL N. Effect of oceanic turbulence on polarization of stochastic beams[J]. Optics Communication, 2011, 287(7): 1740-1746.
[29]	HANSON F, LASHER M. Effects of underwater turbulence on laser beam propagation and coupling into single-mode optical fiber[J]. Applied Optics, 2010, 49(16): 3224-3230.
[30]	TANG M M, ZHAO D M. Propagation of radially polarized beams in the oceanic turbulence[J]. Applied Physics, 2013, B111(4): 665-670.
[31]	ZHOU Y, CHEN Q , ZHAO D M. Propagation of astigmatic stochastic electromagnetic beams in oceanic turbulence[J]. Applied Physics, 2013, B114(4): 475-482.
[32]	ZHOU Y, HUANG K, ZHAO D M. Changes in the statistical properties of stochastic anisotropic electromagnetic beams propagating through the oceanic turbulence[J]. Applied Physics, 2012,B109(2): 289-294.
[33]	TANG M M, ZHAO D M. Spectral changes in stochastic anisotropic electromagnetic beams propagating through turbulent ocean[J]. Optics Communications, 2014, 312(3) : 89-93.
[34]	MANDEL L, WOLF E. Optical coherence and quantum optics[M]. Cambridge,UK: Cambridge University Press, 1995: 100-125.
[35]	DAN Y Q, ZHANG B. Beam propagation factor of partially coherent flat-topped beams in a turbulent atmosphere[J]. Optics Express, 2008, 16(20): 15563-15575.
[36]	FARWELL N, KOROTKOVA O. Intensity and coherence properties of light in oceanic turbulence[J]. Optics Communication, 2012, 285(6): 872-875.
[37]	LU W, LIU L R, SUN J F. Influence of temperature and salinity fluctuations on propagation behaviour of partially coherence in oceanic turbulence[J]. Journal of Optics,2006, A8(12): 1052-1058.
[38]	JI X L, EYYUBOGLU H T, BAYKAL Y. Influence of turbulence on the effective radius of curvature of radial Gaussian array beams[J]. Optics Express, 2010, 18(7): 6922-6928.
[39]	EYYUBOGLU H T, BAYKAL Y, JI X L. Radius of curvature variations for annular, dark hollow and flat topped beams in turbulence[J]. Applied Physics, 2010,B99(4): 801-807.
[40]	GBUR G, WOLF E. The Rayleigh range of Gaussian Schell-model beams[J]. Journal of Modern Optics, 2010, 48(11): 1735-1741.

Propagation properties of partially coherent flat-topped beam array in oceanic turbulence

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Proportional views