Propagation characteristics of elegant Laguerre-Gaussian beam passing through a circular aperture in turbulent atmosphere

FEI Jin-cheng; CUI Zhi-feng; WANG Jia-si; QU Jun

doi:10.3969/j.issn.1001-3806.2011.06.033

Volume 35 Issue 6

May 2013

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Propagation characteristics of elegant Laguerre-Gaussian beam passing through a circular aperture in turbulent atmosphere

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

Corresponding author: QU Jun, qujun70@mail.ahnu.edu.cn
Received Date: 2010-12-27
Accepted Date: 2011-01-18

Abstract

In order to study propagation characteristics of elegant Laguerre-Gaussian beam(ELGB) passing through a circular aperture in turbulent atmosphere, corresponding analytical formulate based on the extend Huygens-Fresnel integral were deduced and numerical simulation results were obtained. The results indicate that when the value of the truncation parameter 1, the beam profile of ELGB after propagating long distance is similar to that of the source, i.e., hallow beam, but the central normalized intensity is larger than 0; however, the profile tends to Gaussian distribution as the parameter 1. Meanwhile, the weaker the turbulent atmosphere is, the more easily it can preserve the average intensity profile as the source. And the average intensity profiles of different beam orders were also studied. The results are useful to laser beam propagation and free-space laser communication.
- atmospheric and ocean optics,
- elegant Laguerre-Gaussian beam,
- extend Huygens-Fresnel integral,
- turbulent atmosphere,
- aperture

References

[1]	WANG H,LIU D,ZHOU Z.The propagation of radially polarized partially coherent beam through an optical system in turbulent atmosphere[J].Applied Physics,2010,B101(1/2):361-369.
[2]	L B D,MA H.Elegant Laguerre-Gaussian beams and their properties[J].Laser Technology,2001,25(4):312-316(in Chinese).
[3]	CAI Y J.Propagation of various flat-topped beams in a turbulent atmosphere[J].Journal of Optics,2006,A8(6):537-545 .
[4]	JARUTIS V,PASKAUSKAS R,STABINIS A.Focusing of Laguerre-Gaussian beams by axicon[J].Optics Communications,2000,184(1):105-112.
[5]	ORLOY S,STABINIS A.Free-space propagation of light field created by Besell-Gaussian and Laguerre-Gaussian singular beams[J].Optics Communications,2003,226(1/6):97-105.
[6]	SHEPPARD C J.Beam duality,with application to generalized Bessel-Gaussian and Hermite- Gaussian beams[J].Optics Express,2009,17 (5):3690-3697.
[7]	SHIRAI T,DOGARIU A,WOLF E.Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence[J].Journal of the Optics Society of America,2003,A20(6):1094-1102.
[8]	CAI YANG JIAN,LIN Q.Hollow elliptical Gaussian beam and its propagation through aligned and misaligned paraxial optical systems[J].Journal of the Optics Society of America,2004,A21(6):1058-1065.
[9]	YOUNG C Y,GILCHREST Y V,MACON B R.Turbulence-induced beam spreading of higher-order mode optical waves[J].Optics Engireering,2002,41(5):1097-1103.
[10]	CAI YANG JIAN,HE S L.Partially coherent flattened Gaussian beam and its paraxial propagation properties[J].Journal of the Optics Society of America,2006,A23(10) :2623-2628.
[11]	GORI F.Flattened Gaussian beams[J].Optics Communications,1994,107(5/6):335-341.
[12]	SHIRAI T,DOGARIU A,WOLF E.Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence[J].Journal of the Optics Society of America,2003,A20(6):1094-1102.
[13]	EYYUBOGLU H T,BAYKAL Y K.Analysis of reciprocity of cos-Gaussian and cosh-Gaussian laser beams in turbulent atmosphere[J].Optics Express,2004,12(20):4659-4674.
[14]	CAI Y J,HE S L.Propagation of various dark hollow beams in a turbulent atmosphere[J].Optics Express,2006,14(4):1353-1367.
[15]	EYYUBOGLU H T,BAYKAL Y K.Average intensity and spreading of cosh-Gaussian laser beams in the turbulent atmosphere[J].Applied Optics,2005,44(6):976-983.
[16]	TOVAR A A.Propagation of flat-topped multi-Gaussian laser beams[J].Journal of the Optics Society of America,2001,A18(8):1897-1904.
[17]	EYYUBOGLU H T.Propagation of Hermite-cosh-Gaussian laser beams in turbulent atmosphere[J].Optics Communications,2005,245(1/6):37-47.
[18]	EYYUBOGLU HT.Propagation of modified Bessel-Gaussian beams in turbulence[J].Optics & Laser Technology,2008,40(2) :343-351.
[19]	KASHANI F D,ALAVINEJAD M,GHAFARY B.Propagation properties of a non-circular partially coherent flat-topped beam in a turbulent atmosphere[J].Optics & Laser Technology,2009,41(5):659-664.
[20]	EYYUBOGLU HT,ARPALI C,BAYKAL Y K.Flat topped beams and their characteristics in turbulent media[J].Optics Express,2006,14(10):4196-4207.
[21]	QU J,ZHONG Y L,CUI Zh F,et al.Elegant Laguerre-Gaussian beam in a turbulent atmosphere[J].Optics Communications,2010,283(14):2772-2781.
[22]	BAYKAL Y K,EYYUBOGLU HT.Scintillation index of flat-topped Gaussian beams[J].Applied Optics,2006,45(16):3793-3797.
[23]	ZHANG J Zh,LI Y K.Atmospherically turbulent effects on partially coherent flat-topped Gaussian beam[J].Proceedings of SPIE,2005,5832:48-55.
[24]	BAGINI V,BORGHI R,GORI F,et al.Propagation of axially symmetric flattened Gaussian beams[J].Journal of the Optics Society of America,1996,A13(7):1385-1394.
[25]	CHU X X,NI Y Zh,ZHOU G Q.Propagation analysis of flattened circular Gaussian beams with a circular aperture in turbulent atmosphere[J].Optics Communications,2007,274(2):274-280.
[26]	GAO Z H,ZOU Q H,L B D.Propagation of complex argument Laguerre-Gaussian beams through a rectangular hard- edged aperture[J].Laser Technology,2006,30(2):152-154(in Chinese).
[27]	QING Y S,L B D.Propagation of Laguerre-Gaussian beams through an optical system with hard edge aperture[J].Laser Technology,2002,26(3):174-176(in Chinese).
[28]	SHEN X J,WANG L,SHEN H B,et al.Propagation analysis of flattened circular Gaussian beams with a misaligned circular aperture in turbulent atmosphere[J].Optics Communications,2009,282(24):4765-4770.
[29]	L B D.Laser optics beam characterization,propagation and transformation,resonator technology and physics[M].3rd ed.Beijing:Higher Education Press,2003:9-11(in Chinese).
[30]	WEN J J,BREAZEALE M A.A diffraction beam field expressed as the superposition of Gaussian beams[J].Acoustical Society of America,1988,83(5):1752-1756.
[31]	ZAUDERER E.Complex argument Hermite-Gaussian and Laguerre-Gaussian beams[J].Journal of the Optics Society of America,1986,A3(4):465-469.
[32]	KIMEl I,ELIASL R.Relations between Hermite and Laguerre Gaussian modes[J].IEEE Journal of Quantum Electronics,1993,29(9):2562-2567.
[33]	WANG C H,PLONUS M A.Optical beam propagation for a partially coherent source in the turbulent atmosphere[J].Journal of the Optics Society of America,1979,A69(9):1297-1304.
[34]	WANG F,CAI Y J,EYYUBOGLU H T,et al.Partially coherent elegant Hermite-Gaussian beams[J].Applied Physics,2010,B100(3):617-626.

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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

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Propagation characteristics of elegant Laguerre-Gaussian beam passing through a circular aperture in turbulent atmosphere

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

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

Received Date: 2010-12-27

Accepted Date: 2011-01-18

Available Online: 2011-11-25

Abstract: In order to study propagation characteristics of elegant Laguerre-Gaussian beam(ELGB) passing through a circular aperture in turbulent atmosphere, corresponding analytical formulate based on the extend Huygens-Fresnel integral were deduced and numerical simulation results were obtained. The results indicate that when the value of the truncation parameter 1, the beam profile of ELGB after propagating long distance is similar to that of the source, i.e., hallow beam, but the central normalized intensity is larger than 0; however, the profile tends to Gaussian distribution as the parameter 1. Meanwhile, the weaker the turbulent atmosphere is, the more easily it can preserve the average intensity profile as the source. And the average intensity profiles of different beam orders were also studied. The results are useful to laser beam propagation and free-space laser communication.

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Reference (34)

[1]	WANG H,LIU D,ZHOU Z.The propagation of radially polarized partially coherent beam through an optical system in turbulent atmosphere[J].Applied Physics,2010,B101(1/2):361-369.
[2]	L B D,MA H.Elegant Laguerre-Gaussian beams and their properties[J].Laser Technology,2001,25(4):312-316(in Chinese).
[3]	CAI Y J.Propagation of various flat-topped beams in a turbulent atmosphere[J].Journal of Optics,2006,A8(6):537-545 .
[4]	JARUTIS V,PASKAUSKAS R,STABINIS A.Focusing of Laguerre-Gaussian beams by axicon[J].Optics Communications,2000,184(1):105-112.
[5]	ORLOY S,STABINIS A.Free-space propagation of light field created by Besell-Gaussian and Laguerre-Gaussian singular beams[J].Optics Communications,2003,226(1/6):97-105.
[6]	SHEPPARD C J.Beam duality,with application to generalized Bessel-Gaussian and Hermite- Gaussian beams[J].Optics Express,2009,17 (5):3690-3697.
[7]	SHIRAI T,DOGARIU A,WOLF E.Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence[J].Journal of the Optics Society of America,2003,A20(6):1094-1102.
[8]	CAI YANG JIAN,LIN Q.Hollow elliptical Gaussian beam and its propagation through aligned and misaligned paraxial optical systems[J].Journal of the Optics Society of America,2004,A21(6):1058-1065.
[9]	YOUNG C Y,GILCHREST Y V,MACON B R.Turbulence-induced beam spreading of higher-order mode optical waves[J].Optics Engireering,2002,41(5):1097-1103.
[10]	CAI YANG JIAN,HE S L.Partially coherent flattened Gaussian beam and its paraxial propagation properties[J].Journal of the Optics Society of America,2006,A23(10) :2623-2628.
[11]	GORI F.Flattened Gaussian beams[J].Optics Communications,1994,107(5/6):335-341.
[12]	SHIRAI T,DOGARIU A,WOLF E.Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence[J].Journal of the Optics Society of America,2003,A20(6):1094-1102.
[13]	EYYUBOGLU H T,BAYKAL Y K.Analysis of reciprocity of cos-Gaussian and cosh-Gaussian laser beams in turbulent atmosphere[J].Optics Express,2004,12(20):4659-4674.
[14]	CAI Y J,HE S L.Propagation of various dark hollow beams in a turbulent atmosphere[J].Optics Express,2006,14(4):1353-1367.
[15]	EYYUBOGLU H T,BAYKAL Y K.Average intensity and spreading of cosh-Gaussian laser beams in the turbulent atmosphere[J].Applied Optics,2005,44(6):976-983.
[16]	TOVAR A A.Propagation of flat-topped multi-Gaussian laser beams[J].Journal of the Optics Society of America,2001,A18(8):1897-1904.
[17]	EYYUBOGLU H T.Propagation of Hermite-cosh-Gaussian laser beams in turbulent atmosphere[J].Optics Communications,2005,245(1/6):37-47.
[18]	EYYUBOGLU HT.Propagation of modified Bessel-Gaussian beams in turbulence[J].Optics & Laser Technology,2008,40(2) :343-351.
[19]	KASHANI F D,ALAVINEJAD M,GHAFARY B.Propagation properties of a non-circular partially coherent flat-topped beam in a turbulent atmosphere[J].Optics & Laser Technology,2009,41(5):659-664.
[20]	EYYUBOGLU HT,ARPALI C,BAYKAL Y K.Flat topped beams and their characteristics in turbulent media[J].Optics Express,2006,14(10):4196-4207.
[21]	QU J,ZHONG Y L,CUI Zh F,et al.Elegant Laguerre-Gaussian beam in a turbulent atmosphere[J].Optics Communications,2010,283(14):2772-2781.
[22]	BAYKAL Y K,EYYUBOGLU HT.Scintillation index of flat-topped Gaussian beams[J].Applied Optics,2006,45(16):3793-3797.
[23]	ZHANG J Zh,LI Y K.Atmospherically turbulent effects on partially coherent flat-topped Gaussian beam[J].Proceedings of SPIE,2005,5832:48-55.
[24]	BAGINI V,BORGHI R,GORI F,et al.Propagation of axially symmetric flattened Gaussian beams[J].Journal of the Optics Society of America,1996,A13(7):1385-1394.
[25]	CHU X X,NI Y Zh,ZHOU G Q.Propagation analysis of flattened circular Gaussian beams with a circular aperture in turbulent atmosphere[J].Optics Communications,2007,274(2):274-280.
[26]	GAO Z H,ZOU Q H,L B D.Propagation of complex argument Laguerre-Gaussian beams through a rectangular hard- edged aperture[J].Laser Technology,2006,30(2):152-154(in Chinese).
[27]	QING Y S,L B D.Propagation of Laguerre-Gaussian beams through an optical system with hard edge aperture[J].Laser Technology,2002,26(3):174-176(in Chinese).
[28]	SHEN X J,WANG L,SHEN H B,et al.Propagation analysis of flattened circular Gaussian beams with a misaligned circular aperture in turbulent atmosphere[J].Optics Communications,2009,282(24):4765-4770.
[29]	L B D.Laser optics beam characterization,propagation and transformation,resonator technology and physics[M].3rd ed.Beijing:Higher Education Press,2003:9-11(in Chinese).
[30]	WEN J J,BREAZEALE M A.A diffraction beam field expressed as the superposition of Gaussian beams[J].Acoustical Society of America,1988,83(5):1752-1756.
[31]	ZAUDERER E.Complex argument Hermite-Gaussian and Laguerre-Gaussian beams[J].Journal of the Optics Society of America,1986,A3(4):465-469.
[32]	KIMEl I,ELIASL R.Relations between Hermite and Laguerre Gaussian modes[J].IEEE Journal of Quantum Electronics,1993,29(9):2562-2567.
[33]	WANG C H,PLONUS M A.Optical beam propagation for a partially coherent source in the turbulent atmosphere[J].Journal of the Optics Society of America,1979,A69(9):1297-1304.
[34]	WANG F,CAI Y J,EYYUBOGLU H T,et al.Partially coherent elegant Hermite-Gaussian beams[J].Applied Physics,2010,B100(3):617-626.

Propagation characteristics of elegant Laguerre-Gaussian beam passing through a circular aperture in turbulent atmosphere

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Proportional views