聚焦厄米-高斯光束对两种粒子的捕获
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摘要
基于广义惠更斯-菲涅耳原理和瑞利散射理论,推导了聚焦厄米-高斯光束的光强和作用在瑞利微粒上辐射力的解析表达式,主要研究聚焦厄米-高斯光束对折射率不同的两种粒子的俘获情况,以及光束阶数m和n对俘获效果的影响。研究发现,聚焦厄米-高斯光束在焦平面上呈现出矩形阵列分布的(m+1)×(n+1)个亮斑,这种光束选取合适的光束阶数可以实现在亮斑处阵列分布的捕获(m+1)×(n+1)个高折射率粒子,同时在暗区俘获m×(n+1)个低折射率粒子。此外,光束阶数越大,辐射力越大,越容易俘获两种类型粒子。因此,选择合适的光束阶数,可以实现两种不同折射率的瑞利微粒的稳定捕获。所得结果可以应用在生物技术和纳米技术等领域。
Based on the generalized Huygens-Fresnel principle and Rayleigh scattering theory,the analytical expressions of the radiation intensity and the radiation force on Rayleigh particles of a focused Hermite-Gaussian beams are derived,This paper mainly focuses on the capture of two kinds of particles with different refractive indices,as well as the effect of the beam order of m and n on the capture effect of the focused Hermite-Gaussian beams.The study results find that the focused Hermite-Gaussian beam in the focal plane shows a rectangular array distribution with(m+1)×(n+1) bright spot,the selection of suitable beam order can be achieved in the light spot array distribution capturing(m+1)×(n+1) high refractive index particles,while in the dark area capturing m×(n+1) low refractive index particles.In addition,the larger the beam order,the greater the radiation force,the two types of Rayleigh particles can be captured more easily.Therefore,two types of Rayleigh particles with different refractive indices can be stably trapped by selecting appropriate beam order.Results obtained in this paper may provide potential applications in nanotechnology,biotechnology and so on.
Based on the generalized Huygens-Fresnel principle and Rayleigh scattering theory,the analytical expressions of the radiation intensity and the radiation force on Rayleigh particles of a focused Hermite-Gaussian beams are derived,This paper mainly focuses on the capture of two kinds of particles with different refractive indices,as well as the effect of the beam order of m and n on the capture effect of the focused Hermite-Gaussian beams.The study results find that the focused Hermite-Gaussian beam in the focal plane shows a rectangular array distribution with(m+1)×(n+1) bright spot,the selection of suitable beam order can be achieved in the light spot array distribution capturing(m+1)×(n+1) high refractive index particles,while in the dark area capturing m×(n+1) low refractive index particles.In addition,the larger the beam order,the greater the radiation force,the two types of Rayleigh particles can be captured more easily.Therefore,two types of Rayleigh particles with different refractive indices can be stably trapped by selecting appropriate beam order.Results obtained in this paper may provide potential applications in nanotechnology,biotechnology and so on.
引文
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[3] Harada Y,Asakura T.Radiation forces on a dielectric sphere in the Rayleigh scattering regime[J].Optics Communications,1996,124(5-6):529-541.
[4] Kuga T.Novel optical trap of atoms with a doughnut beam[J].Physical Review Letters,1997,78(25):4713-4716.
[5] MD W.Force and velocity measured for single molecules of RNA polymerase[J].Science (New York,N.Y.),1998,282(5390):902-907.
[6] Li Yin-mei, Gong Lei, Li Di, et al.Progress in optical tweezers technology[J].Chinese Journal of Lasers,2015,42(1):1-20.李银妹,龚雷,李迪,等.光镊技术的研究现况[J].中国激光,2015,42(1):1-20.
[7] Guo Li-na,Tang Zhi-lie,Wang Jie.Trapping rayleigh particles with double-ring radially polarized vortex beams[J].Acta Laser Biology Sinica,2015,24(2):145-151.郭利娜,唐志列,汪洁.双环径向偏振涡旋光束的粒子捕获(英文)[J].激光生物学报,2015,24(2):145-151.
[8] CHENG Ke,XIANG An-ping,ZHONG Xian-qiong,et al.Radiation forces of foused partially coherent vortex beam acting on rayleigh particles with different refractive indices[J].High Power Laser and Particle Beams,2011,23(2):319-324.程科,向安平,钟先琼,等.聚焦部分相干涡旋光束作用于不同折射率瑞利粒子上的辐射力[J].强激光与粒子束,2011,23(2):319-324.
[9] Chen C H,Tai P T,Hsieh W F.Bottle beam from a bare laser for single-beam trapping[J].Applied Optics,2004,43(32):6001-6006.
[10] LUO Hui, WANG Bing, YUAN Yang-sheng, et al.Two types of particle trapping using a partially coherent elegant Hermite-Gaussian beam[J].Chinese J Laser,2014,41(5):29-36.罗慧,汪冰,袁扬胜,等.部分相干复宗量厄米-高斯光束捕获两种类型粒子[J].中国激光,2014,41(5):29-36.
[11] Liu X,Zhao D.Trapping two types of particles with a focused generalized multi-gaussian schell model beam[J].Optics Communications,2015,354:250-255.
[12] Jiang Y,Huang K,Lu X.Radiation force of highly focused lorentz-gauss beams on a rayleigh particle[J].Optics Express,2011,19(10):9708-9713.
[13] Shu J,Chen Z,Pu J.Radiation forces on a rayleigh particle by highly focused partially coherent and radially polarized vortex beams[J].Journal of the Optical Society of America A Optics & Image Science,2013,30(5):916-922.
[14] Casperson L W,Tovar A A.Hermite-sinusoidal-gaussian beams in complex optical systems[J].Journal of the Optical Society of America A,1997,15(4):954-961.
[15] WANG Xi-qing,Lü Bai-da.Focused field characteristics of Hermite-Gaussion beams[J].High Power Laser and Particle Beams,1996,8(1):24-30.王喜庆,吕百达.厄米-高斯光束的聚焦场特性[J].强激光与粒子束,1996,8(1):24-30.
[16] QIU Yun-li,GUO Hong,CHEN Zhao-xi.Paraxial propagation of partially coherent Hermite-Gauss beams[J].Optics Communications,2005,245(1-6):21-26.
[17] DAN You-quan, ZHU Song-jun, ZHANG Bin.Propagation properties of Hermite-Gaussion beams propagation in absorbing media[J].Journal of Sichuan University:Natural Science Edition,2005,28(4):749-754.但有全,祝颂军,张彬.厄米-高斯光束在吸收介质中的传输特性[J].四川大学学报(自然科学版),2005,28(4):749-754.
[18] CAI Yang-jian, CHEN Chi-yi. Paraxial propagation of a partially coherent Hermite-Gaussian beam through aligned and misaligned ABCD optical systems[J].Journal of the Optical Society of America A Optics Image Science & Vision,2007,24(8):2394-2401.
[19] Chen Y F.Generation of Hermite-Gaussian modes in fiber-coupled laser-diode end-pumped lasers[J].IEEE Journal of Quantum Electronics,1997,33(6):1025-1031.
[20] Phillips R L.Laser beam propagation through random media[M].Bellingham:SPIE Press,2005.
[21] Okamoto K,Kawata S.Radiation force exerted on subwavelength particles near a nanoaperture[C].Proceedings of SPIE,1999,83(22):4534-4537.
[2] Ashkin.Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime[J].Biophysical Journal,1998,61(2):569-82.
[3] Harada Y,Asakura T.Radiation forces on a dielectric sphere in the Rayleigh scattering regime[J].Optics Communications,1996,124(5-6):529-541.
[4] Kuga T.Novel optical trap of atoms with a doughnut beam[J].Physical Review Letters,1997,78(25):4713-4716.
[5] MD W.Force and velocity measured for single molecules of RNA polymerase[J].Science (New York,N.Y.),1998,282(5390):902-907.
[6] Li Yin-mei, Gong Lei, Li Di, et al.Progress in optical tweezers technology[J].Chinese Journal of Lasers,2015,42(1):1-20.李银妹,龚雷,李迪,等.光镊技术的研究现况[J].中国激光,2015,42(1):1-20.
[7] Guo Li-na,Tang Zhi-lie,Wang Jie.Trapping rayleigh particles with double-ring radially polarized vortex beams[J].Acta Laser Biology Sinica,2015,24(2):145-151.郭利娜,唐志列,汪洁.双环径向偏振涡旋光束的粒子捕获(英文)[J].激光生物学报,2015,24(2):145-151.
[8] CHENG Ke,XIANG An-ping,ZHONG Xian-qiong,et al.Radiation forces of foused partially coherent vortex beam acting on rayleigh particles with different refractive indices[J].High Power Laser and Particle Beams,2011,23(2):319-324.程科,向安平,钟先琼,等.聚焦部分相干涡旋光束作用于不同折射率瑞利粒子上的辐射力[J].强激光与粒子束,2011,23(2):319-324.
[9] Chen C H,Tai P T,Hsieh W F.Bottle beam from a bare laser for single-beam trapping[J].Applied Optics,2004,43(32):6001-6006.
[10] LUO Hui, WANG Bing, YUAN Yang-sheng, et al.Two types of particle trapping using a partially coherent elegant Hermite-Gaussian beam[J].Chinese J Laser,2014,41(5):29-36.罗慧,汪冰,袁扬胜,等.部分相干复宗量厄米-高斯光束捕获两种类型粒子[J].中国激光,2014,41(5):29-36.
[11] Liu X,Zhao D.Trapping two types of particles with a focused generalized multi-gaussian schell model beam[J].Optics Communications,2015,354:250-255.
[12] Jiang Y,Huang K,Lu X.Radiation force of highly focused lorentz-gauss beams on a rayleigh particle[J].Optics Express,2011,19(10):9708-9713.
[13] Shu J,Chen Z,Pu J.Radiation forces on a rayleigh particle by highly focused partially coherent and radially polarized vortex beams[J].Journal of the Optical Society of America A Optics & Image Science,2013,30(5):916-922.
[14] Casperson L W,Tovar A A.Hermite-sinusoidal-gaussian beams in complex optical systems[J].Journal of the Optical Society of America A,1997,15(4):954-961.
[15] WANG Xi-qing,Lü Bai-da.Focused field characteristics of Hermite-Gaussion beams[J].High Power Laser and Particle Beams,1996,8(1):24-30.王喜庆,吕百达.厄米-高斯光束的聚焦场特性[J].强激光与粒子束,1996,8(1):24-30.
[16] QIU Yun-li,GUO Hong,CHEN Zhao-xi.Paraxial propagation of partially coherent Hermite-Gauss beams[J].Optics Communications,2005,245(1-6):21-26.
[17] DAN You-quan, ZHU Song-jun, ZHANG Bin.Propagation properties of Hermite-Gaussion beams propagation in absorbing media[J].Journal of Sichuan University:Natural Science Edition,2005,28(4):749-754.但有全,祝颂军,张彬.厄米-高斯光束在吸收介质中的传输特性[J].四川大学学报(自然科学版),2005,28(4):749-754.
[18] CAI Yang-jian, CHEN Chi-yi. Paraxial propagation of a partially coherent Hermite-Gaussian beam through aligned and misaligned ABCD optical systems[J].Journal of the Optical Society of America A Optics Image Science & Vision,2007,24(8):2394-2401.
[19] Chen Y F.Generation of Hermite-Gaussian modes in fiber-coupled laser-diode end-pumped lasers[J].IEEE Journal of Quantum Electronics,1997,33(6):1025-1031.
[20] Phillips R L.Laser beam propagation through random media[M].Bellingham:SPIE Press,2005.
[21] Okamoto K,Kawata S.Radiation force exerted on subwavelength particles near a nanoaperture[C].Proceedings of SPIE,1999,83(22):4534-4537.