对称艾里涡旋光束的传播特性
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摘要
提出了一种对称艾里涡旋光束.在对称立方相位的基础上引入螺旋相位因子形成新的相位图,加载该相位的高斯光束经傅里叶变换后产生对称艾里涡旋光束.研究表明:对称艾里涡旋光束出现自聚焦现象,且由于轴上涡旋的存在,其中心呈现中空现象,涡旋结构携带的轨道角动量使光束在初始平面处发生旋转,拓扑荷数越大,中空结构越大,旋转角度也越大,而拓扑荷数的正负仅改变光束的旋向.理论分析表明,离轴涡旋在初始平面处,因与光轴中心距离较远,并不会影响对称艾里光束主瓣的能量,即中心并无光强为零区域,但随着传播距离的增加,离轴涡旋逐渐出现在对称艾里光束其中的一个主瓣上.此外,对称艾里光束还可以加载多个离轴涡旋,能同时无损伤地捕获多个微粒.该光束不仅具有自聚焦特性,并且其中心呈中空结构,同时还携带轨道角动量,在光学微操纵与生物医学等方面有潜在应用.
A symmetric Airy vortex beam can be generated by modulating a Gaussian beam imposed on an improved phase pattern,where helical phase factor is introduced in symmetric cubic phase.The experimental results and numerical simulations demonstrate that such beams possess autofocusing characteristic and have a dark core owing to on-axis vortex.Such a special structure causes the beams to rotate in the initial plane.The lager topological charge,the bigger dark area,the greater rotating angle.The positive or negative topological charge only changes the rotating direction.Theoretical analysis shows that in the initial plane,the main lobe of symmetric Airy beams and off-axis vortex have nearly no influence.However,off-axis vortex will gradually appear on one of the main lobes of the symmetric Airy beams during propagation.In addition,the symmetric Airy beams also can embed multiple off-axis vortices which can capture multiple particles without damage.Due to the above characteristics,the beams have potential applications in optical trapping and biomedicine.
A symmetric Airy vortex beam can be generated by modulating a Gaussian beam imposed on an improved phase pattern,where helical phase factor is introduced in symmetric cubic phase.The experimental results and numerical simulations demonstrate that such beams possess autofocusing characteristic and have a dark core owing to on-axis vortex.Such a special structure causes the beams to rotate in the initial plane.The lager topological charge,the bigger dark area,the greater rotating angle.The positive or negative topological charge only changes the rotating direction.Theoretical analysis shows that in the initial plane,the main lobe of symmetric Airy beams and off-axis vortex have nearly no influence.However,off-axis vortex will gradually appear on one of the main lobes of the symmetric Airy beams during propagation.In addition,the symmetric Airy beams also can embed multiple off-axis vortices which can capture multiple particles without damage.Due to the above characteristics,the beams have potential applications in optical trapping and biomedicine.
引文
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[26]SIMPSON N B,MCGLOIN D,DHOLAKIA K,et al.Optical tweezers with increased axial trapping efficiency[J].International Journal of Optics,1998,45(9):1943-1949.
[27]SIMPSON N B,DHOLAKIA K,ALLEN L,et al.Mechanical equivalence of spin and orbital angular momentum of light:an optical spanner[J].Optics Letters,1997,22(1):52-54.
[28]MOLINA-TERRIZA G,TORRES J P,TORNER L.Management of the angular momentum of light:preparation of photons in multidimensional vector states of angular momentum[J].Physical Review Letters,2002,88(1):013601.
[29]LIU Yi-dong,GAO Chun-qing,GAO Ming-wei,et al.Realizing high density optical data storage by using orbital angular momentum of light beam[J].Journal of Physics,2007,56(2):854-858.刘义东,高春清,高明伟,等.利用光束的轨道角动量实现高密度数据存储的机理研究[J].物理学报,2007,56(2):854-858.
[30]WANG Qiang,LI Xiao-qing,XU Jian-bo.Analysis for the force exerted on rayleigh-particle in Bessel-Gauss of optical vortex[J].Journal of Shandong Normal University(Natural Science Edition),2010,25(2):55-57.王强,李晓青,徐建波.微粒在涡旋光场高阶贝塞尔光束中的受力分析[J].山东师范大学学报(自然科学版),2010,25(2):55-57.
[2]SIVILOGLOU G A,BROKY J,DOGARIU A,et al.Observation of accelerating Airy beams[J].Physical Review Letters,2007,99(21):213901.
[3]SIVILOGLOU G A,CHRISTODOULIDES D N.Accelerating finite energy Air beams[J].Optics Letters,2007,32(8):979-981.
[4]BROKY J,SIVILOGLOU G A,DOGARIU A,et al.Self-healing properties of optical Airy beams[J].Optics Express,2008,16(17):12880-12891.
[5]CHU X,ZHOU G,CHEN R.Analytical study of the self-healing property of Airy beams[J].Physical Review A,2012,85(1):619-624.
[6]SIVILOGLOU G A,BROKY J,DOGARIU A,et al.Ballistic dynamics of Airy beams[J].Optics Letters,2008,33(3):207-209.
[7]ZHANG P,PRAKASH J,ZHANG Z.Trapping and guiding microparticles with morphing autofocusing Airy beams[J].Optics Letters,2011,36(15):2883-2885.
[8]POLYNKIN P,KOLESIK M,MOLONEY J V,et al.Curved plasma channel generation using ultra-intense Airy beams[J].Science,2009,324(5924):229-232.
[9]CHEN Chun-yi,YANG Hua-min,MOHSEN K,et al.Propagation of radial Airy array beams through atmospheric turbulence[J].Optics and Lasers in Engineering,2014,52:106-114.
[10]JI Xiao-ling,HALIL T E,JI Guan-ming,et al.Propagation of an Airy beam through the atmosphere[J].Optics Express,2013,21(2):2154-2164.
[11]BANDRES M A,GUTIRREZ-VEGA J C.Airy-Gauss beams and their transformation by paraxial optical systems[J].Optics Express,2007,15(25):16719-16728.
[12]HWANG C Y,CHOI D,KIM K Y,et al.Dual Airy beam[J].Optics Express,2010,18(22):23504-23516.
[13]DAI H T,LIU Y J,LUO D,et al.Propagation dynamics of an optical vortex imposed on an Airy beam[J].Optics Letters,2010,35(23):4075-4077.
[14]DAI H T,LIU Y J,LUO D,et al.Propagation properties of an optical vortex carried by an Airy beam:experimental implementation[J].Optics Letters,2011,36(9):1617-1619.
[15]CHENG Ke,XIA Ji-shen,ZHONG Xian-qiong.Propagation dynamics and vortex trajectory of an Airy vortex beam in gradient-index media[J].Acta Photonica Sinica,2014,43(9):0905002.程科,夏基深,钟先琼.艾里涡旋光束在梯度折射率介质中的动态传输与涡旋轨迹[J].光子学报,2014,43(9):0905002.
[16]CHENG Zhen,CHU Xing-chun,ZHAO Shang-hong,et al.Study of the drift characteristics of Airy vortex beam in atmospheric turbulence[J].Chinese Journal of Lasers,2015,42(12):277-281.程振,楚兴春,赵尚弘,等.艾里涡旋光束在大气湍流中的漂移特性研究[J].中国激光,2015,42(12):277-281.
[17]HAN Kun,GAO Ai-hua,JI Kai-wen,et al.Propagation dynamics of the twins composite discrete Airy-vortex accelerating beams[J].Acta Photonica Sinica,2018,47(3):0326001.韩坤,高爱华,戢凯文,等.双复合离散型艾里涡旋加速光的传输特性[J].光子学报,2018,47(3):0326001.
[18]CHEN Zhi-gang,XU Jing-jun,HU Yi,et al.Control and novel applications of self-accelerating beams[J].Acta Optica Sinica,2016,36(10):1026009.陈志刚,许京军,胡毅,等.自加速光的调控及其新奇应用[J].光学学报,2016,36(10):1026009.
[19]VAVELIUK P,LENCINA A,RODRIGO J A,et al.Symmetric Airy beams[J].Optics Letters,2014,39(8):2370-2373.
[20]ELLENBOGEN T,VOLOCH N,GANANY-PADOWICZ A,et al.Nonlinear generation and manipulation of Airy beams[J].Nature Photonics,2009,3(7):395-398.
[21]PANAGIOTOPOULOS P,PAPAZOGLOU D G,COUAIRON A,et al.Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets[J].Nature Communications,2013,4(4):2622.
[22]JR G A S.Peering into darkness with a vortex spatial filter[J].Optics Letters,2001,26(8):497-499.
[23]PALACIOS D,ROZAS D,JR G A S.Observed scattering into a dark optical vortex core[J].Physical Review Letters,2002,88(10):103902.
[24]ROZAS D,SACKS Z S,GAS J R.Experimental observation of fluidlike motion of optical vortices[J].Physical Review Letters,1997,79(18):3399-3402.
[25]ALLEN L,BEIJERSBERGEN M,SPREEUW RJ C,et al.Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes[J].Physical Review A Atomic Molecular&Optical Physics,1992,45(11):8185-8189.
[26]SIMPSON N B,MCGLOIN D,DHOLAKIA K,et al.Optical tweezers with increased axial trapping efficiency[J].International Journal of Optics,1998,45(9):1943-1949.
[27]SIMPSON N B,DHOLAKIA K,ALLEN L,et al.Mechanical equivalence of spin and orbital angular momentum of light:an optical spanner[J].Optics Letters,1997,22(1):52-54.
[28]MOLINA-TERRIZA G,TORRES J P,TORNER L.Management of the angular momentum of light:preparation of photons in multidimensional vector states of angular momentum[J].Physical Review Letters,2002,88(1):013601.
[29]LIU Yi-dong,GAO Chun-qing,GAO Ming-wei,et al.Realizing high density optical data storage by using orbital angular momentum of light beam[J].Journal of Physics,2007,56(2):854-858.刘义东,高春清,高明伟,等.利用光束的轨道角动量实现高密度数据存储的机理研究[J].物理学报,2007,56(2):854-858.
[30]WANG Qiang,LI Xiao-qing,XU Jian-bo.Analysis for the force exerted on rayleigh-particle in Bessel-Gauss of optical vortex[J].Journal of Shandong Normal University(Natural Science Edition),2010,25(2):55-57.王强,李晓青,徐建波.微粒在涡旋光场高阶贝塞尔光束中的受力分析[J].山东师范大学学报(自然科学版),2010,25(2):55-57.