Propagation properties of partially coherent flat-topped beam array in a turbulent atmosphere

ZHONG Yan-li; CUI Zhi-feng; SHI Jian-ping; QU Jun

doi:10.3969/j.issn.1001-3806.2010.04.030

Volume 34 Issue 4

Mar. 2011

Article Contents

Turn off MathJax

Article Navigation > LASER TECHNOLOGY > 2010 > 34(4): 542-547

Citation:

Propagation properties of partially coherent flat-topped beam array in a turbulent atmosphere

1.
Department of Physics, Anhui Normal University, Wuhu 241000, China

Corresponding author: QU Jun, qujun70@mail.ahnu.edu.cn
Received Date: 2009-08-10
Accepted Date: 2009-09-24

Abstract

In order to study propagation properties of partially coherent flat-topped (PCFT) beam array in a turbulent atmosphere,corresponding analytical formulate were derived based on the extend Huygens-Fresnel integral and numerical simulation was carried out with MATHEMATICA.The results indicate that for certain turbulence,the smaller coherence length,the faster it becomes Gaussian beam.The influence of atmospheric turbulence on the relative beam width spreading is larger for PCFT beam array with larger beam order and smaller coherence length.The strehl ratio of PCFT beam array with smaller coherence length and bigger beam order are less affected by turbulence.In the far field,for different beam order,if the bucket radius is four times smaller than the waist width of beams,the power in the bucket(PIB) is larger for PCFT beam array with the higher beam order.However,if the bucket radius is four times larger than the waist width of beams,its PIB is smaller.For different coherence length,when the bucket radius is four times smaller than the waist width of beams,the PIB is larger for PCFT beam array with the smaller coherence length,but its PIB is smaller when the bucket radius is four times larger than the waist width of beams.These results are useful for laser communication application.
- atmospheric and ocean optics,
- extend Huygens-Fresnel integral,
- partially coherent flat-topped beam array,
- propagation

References

[1]	YOUNG C Y,GILCHREST Y V,MACON B R.Turbulence-induced beam spreading of higher-order mode optical waves[J].Opt Engng,2002,41(5):1097-1103.
[2]	SHIRAI T,DOGARIU A,WOLF E.Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence[J].J O S A,2003,A20(6):1094-1102.
[3]	CAI Y J.Propagation of various flat-topped beams in a turbulent atmosphere[J].J Opt,2006,A8(6):537-545.
[4]	CAI Y J,LIN Q.Hollow elliptical Gaussian beam and its propagation through aligned and misaligned paraxial optical systems[J].J O S A,2004,A21(6):1058-1065.
[5]	RICKLIN J C,DAVIDSON F M.Atmospheric turbulence effects on a partially coherent Gaussian beam:implications for free-space laser communication[J].J O S A,2002,A19(9):1794-1802.
[6]	ALAVINEJAD M,GHAFARY B,KASHANI F D.Analysis of the propagation of flat-topped beam with various beam order through turbulent atmosphere[J].Optics and Lasers in Engineering,2008,46(1):1-5.
[7]	BAGINI V,BORGHI R,GORI F,et al.Propagation of axially symmetric flattened Gaussian beams[J].J O S A,1996,A 13(7):1385-1394.
[8]	LÜ B D,MA H.Beam combination of a radial laser array:Hermite-Gaussian model[J].Opt Commun,2000,178(4/6):395-403.
[9]	FAN T Y.Laser beam combining for high-power,high-radiance source[J].Selected Topics in IEEE J Q E,2005,11(3):567-577.
[10]	CAI Y J,CHEN Y,CHEN Y,et al.Propagation of laser array beams in a turbulent atmosphere[J].Appl Phys,2007,B88(3):467-475.
[11]	CHU X,NI Y,ZHOU G.Propagation analysis of flattened circular Gaussian beams with a circular aperture in turbulent atmosphere[J].Opt Commun,2007,274(2):274-280.
[12]	ZHOU P,LIU Z J,XU X J,et al.Propagation of coherently combined flattened laser beam array in turbulent atmosphere[J].Opt & Laser Technol,2009,41(4):403-407.
[13]	WU J.Propagation of a Gaussian-Schell beam through turbulent media[J].Journal of Modern Optics,1990,37(4):671-684.
[14]	DAN Y Q,ZHANG B.Beam propagation factor of partially coherent flat-topped beams in a turbulent atmosphere[J].Optics Express,2008,16(20):15563-15574.
[15]	GBUR G,WOLF E.Spreading of partially coherent beams in random media[J].J O S A,2002,A19(8):1952-1958.
[16]	DOGARIU A,AMARANDE S.Propagation of partially coherent beams:turbulence-induced degradation[J].Opt Lett,2003,28(1):10-12.
[17]	GE D,CAI Y J,LIN Q.Partially coherent flat-topped beam and its propagation[J].Appl Opt,2004,43(24):4732-4738.
[18]	CAI Y J,WANG F.Partially coherent anomalous hollow beam and its paraxial propagation[J].Phys Lett,2008,A372(25):4654-4660.
[19]	CAI Y J,HE S L.Partially coherent flattened Gaussian beam and its paraxial propagation properties[J].J O S A,2006,A23(10):2623-2628.
[20]	KASHANI F D,ALAVINEJAD M,GHAFARY B,et al.Propagation properties of a non-circular partially coherent flat-topped beam in a turbulent atmosphere[J].Opt & Laser Tecnol,2009,41(5):659-664.
[21]	MARTINEZ-HERRERO R,MEJIAS P M,SAMCHEZ M,et al.Third-and fourth-order parameter characterization of partially coherent beams propagating through ABCD optical systems[J].Opt & Quan Electron,1992,24(9):S1021-S1026.
[22]	LI Y J.Light beams with flat-topped profiles[J].Opt Lett,2002,27(12):1007-1009.
[23]	YANG A L,ZHANG E T,JI X L,et al.Angular spread of partially coherent Hermite-cosh-Gaussian beams propagating through atmospheric turbulence[J].Optics Express,2008,16(12):8366-8380.
[24]	ZAHID M,ZUBAIRY M S.Directionality of partially coherent Bessel-Gaussian beams[J].Opt Commun,1989,70(5):361-364.
[25]	WANG T,PU J X.Propagation of Bessel-correlation partially coherent hollow beams in the turbulent atmosphere[J].Acta Physica Sinica,2007,56(11):6754-6759(in Chinese).
[26]	LEADER J C.Atmospheric propagation of partially coherent radiation[J].J O S A,1978,68(2):175-185.
[27]	WANG S C H,PLONUS M A.Optical beam propagation for a partially coherent source in the turbulent atmosphere[J].J O S A,1979,69(9):1297-1304.
[28]	CARTER W H.Spot size and divergence for Hermite-Gaussian beams of any order[J].Appl Opt,1980,19(7):1027-1029.
[29]	SIEGMAN A E,NEMES G,SERNA J.How to (maybe) measure laser beam quality[C]//Diode Pumped Solid State Lasers:Applications and Issues.California:Optical Society of America,1998:1-3.
[30]	ZHANG E T,JI X L,LÜ B D.Influence of atmospheric absorption in the inner optical system on the laser beam quality[J].Laser Technology,2006,30(1):96-98(in Chinese).

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(4119) PDF downloads(283) Cited by()

Proportional views

Propagation properties of partially coherent flat-topped beam array in a turbulent atmosphere

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

1. Department of Physics, Anhui Normal University, Wuhu 241000, China

Received Date: 2009-08-10

Accepted Date: 2009-09-24

Available Online: 2010-07-25

Abstract: In order to study propagation properties of partially coherent flat-topped (PCFT) beam array in a turbulent atmosphere,corresponding analytical formulate were derived based on the extend Huygens-Fresnel integral and numerical simulation was carried out with MATHEMATICA.The results indicate that for certain turbulence,the smaller coherence length,the faster it becomes Gaussian beam.The influence of atmospheric turbulence on the relative beam width spreading is larger for PCFT beam array with larger beam order and smaller coherence length.The strehl ratio of PCFT beam array with smaller coherence length and bigger beam order are less affected by turbulence.In the far field,for different beam order,if the bucket radius is four times smaller than the waist width of beams,the power in the bucket(PIB) is larger for PCFT beam array with the higher beam order.However,if the bucket radius is four times larger than the waist width of beams,its PIB is smaller.For different coherence length,when the bucket radius is four times smaller than the waist width of beams,the PIB is larger for PCFT beam array with the smaller coherence length,but its PIB is smaller when the bucket radius is four times larger than the waist width of beams.These results are useful for laser communication application.

HTML

Reference (30)

[1]	YOUNG C Y,GILCHREST Y V,MACON B R.Turbulence-induced beam spreading of higher-order mode optical waves[J].Opt Engng,2002,41(5):1097-1103.
[2]	SHIRAI T,DOGARIU A,WOLF E.Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence[J].J O S A,2003,A20(6):1094-1102.
[3]	CAI Y J.Propagation of various flat-topped beams in a turbulent atmosphere[J].J Opt,2006,A8(6):537-545.
[4]	CAI Y J,LIN Q.Hollow elliptical Gaussian beam and its propagation through aligned and misaligned paraxial optical systems[J].J O S A,2004,A21(6):1058-1065.
[5]	RICKLIN J C,DAVIDSON F M.Atmospheric turbulence effects on a partially coherent Gaussian beam:implications for free-space laser communication[J].J O S A,2002,A19(9):1794-1802.
[6]	ALAVINEJAD M,GHAFARY B,KASHANI F D.Analysis of the propagation of flat-topped beam with various beam order through turbulent atmosphere[J].Optics and Lasers in Engineering,2008,46(1):1-5.
[7]	BAGINI V,BORGHI R,GORI F,et al.Propagation of axially symmetric flattened Gaussian beams[J].J O S A,1996,A 13(7):1385-1394.
[8]	LÜ B D,MA H.Beam combination of a radial laser array:Hermite-Gaussian model[J].Opt Commun,2000,178(4/6):395-403.
[9]	FAN T Y.Laser beam combining for high-power,high-radiance source[J].Selected Topics in IEEE J Q E,2005,11(3):567-577.
[10]	CAI Y J,CHEN Y,CHEN Y,et al.Propagation of laser array beams in a turbulent atmosphere[J].Appl Phys,2007,B88(3):467-475.
[11]	CHU X,NI Y,ZHOU G.Propagation analysis of flattened circular Gaussian beams with a circular aperture in turbulent atmosphere[J].Opt Commun,2007,274(2):274-280.
[12]	ZHOU P,LIU Z J,XU X J,et al.Propagation of coherently combined flattened laser beam array in turbulent atmosphere[J].Opt & Laser Technol,2009,41(4):403-407.
[13]	WU J.Propagation of a Gaussian-Schell beam through turbulent media[J].Journal of Modern Optics,1990,37(4):671-684.
[14]	DAN Y Q,ZHANG B.Beam propagation factor of partially coherent flat-topped beams in a turbulent atmosphere[J].Optics Express,2008,16(20):15563-15574.
[15]	GBUR G,WOLF E.Spreading of partially coherent beams in random media[J].J O S A,2002,A19(8):1952-1958.
[16]	DOGARIU A,AMARANDE S.Propagation of partially coherent beams:turbulence-induced degradation[J].Opt Lett,2003,28(1):10-12.
[17]	GE D,CAI Y J,LIN Q.Partially coherent flat-topped beam and its propagation[J].Appl Opt,2004,43(24):4732-4738.
[18]	CAI Y J,WANG F.Partially coherent anomalous hollow beam and its paraxial propagation[J].Phys Lett,2008,A372(25):4654-4660.
[19]	CAI Y J,HE S L.Partially coherent flattened Gaussian beam and its paraxial propagation properties[J].J O S A,2006,A23(10):2623-2628.
[20]	KASHANI F D,ALAVINEJAD M,GHAFARY B,et al.Propagation properties of a non-circular partially coherent flat-topped beam in a turbulent atmosphere[J].Opt & Laser Tecnol,2009,41(5):659-664.
[21]	MARTINEZ-HERRERO R,MEJIAS P M,SAMCHEZ M,et al.Third-and fourth-order parameter characterization of partially coherent beams propagating through ABCD optical systems[J].Opt & Quan Electron,1992,24(9):S1021-S1026.
[22]	LI Y J.Light beams with flat-topped profiles[J].Opt Lett,2002,27(12):1007-1009.
[23]	YANG A L,ZHANG E T,JI X L,et al.Angular spread of partially coherent Hermite-cosh-Gaussian beams propagating through atmospheric turbulence[J].Optics Express,2008,16(12):8366-8380.
[24]	ZAHID M,ZUBAIRY M S.Directionality of partially coherent Bessel-Gaussian beams[J].Opt Commun,1989,70(5):361-364.
[25]	WANG T,PU J X.Propagation of Bessel-correlation partially coherent hollow beams in the turbulent atmosphere[J].Acta Physica Sinica,2007,56(11):6754-6759(in Chinese).
[26]	LEADER J C.Atmospheric propagation of partially coherent radiation[J].J O S A,1978,68(2):175-185.
[27]	WANG S C H,PLONUS M A.Optical beam propagation for a partially coherent source in the turbulent atmosphere[J].J O S A,1979,69(9):1297-1304.
[28]	CARTER W H.Spot size and divergence for Hermite-Gaussian beams of any order[J].Appl Opt,1980,19(7):1027-1029.
[29]	SIEGMAN A E,NEMES G,SERNA J.How to (maybe) measure laser beam quality[C]//Diode Pumped Solid State Lasers:Applications and Issues.California:Optical Society of America,1998:1-3.
[30]	ZHANG E T,JI X L,LÜ B D.Influence of atmospheric absorption in the inner optical system on the laser beam quality[J].Laser Technology,2006,30(1):96-98(in Chinese).

Propagation properties of partially coherent flat-topped beam array in a turbulent atmosphere

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Proportional views