光子学报, 2014, 43 (3): 0326001, 网络出版: 2014-04-09   

利用柱透镜调控涡旋光束的拓扑结构

Topological Transformation of Vortex Beams Using Cylindrical Lens
作者单位
空间应用物理与化学教育部重点实验室,陕西省光信息技术重点实验室,西北工业大学 理学院,西安 710072
摘要
提出了一种利用柱透镜调控涡旋光束拓扑结构的方法.利用计算全息法制作的叉形光栅掩模板,实验获得了具有不同拓扑荷的涡旋光束,分析了涡旋光束通过柱透镜变换后的强度和相位分布.结果表明,涡旋光束经柱透镜变换后,其拓扑荷符号将发生改变,并且高阶涡旋光束退化为多个分离的一阶涡旋光束.利用高阶激光模式的线性叠加特性以及古依相移对实验结果进行了理论解释,并通过数值模拟对实验结果进行了验证.
Abstract
The topological transformation of vortex beams using cylindrical lens is experimentally and numerically demonstrated. The intensity distributions and phase structures of vortex beams with different topological charges were analyzed after the transformation by a cylindrical lens, which were generated using the computing generated holographic method. The results show that the transformation of the cylindrical lens results in the sign change of the topological charges of the vortex beams. In addition, the higher order vortex beams decay into a beam with multiple singularities with charge-one. These observations were analyzed based on the linear superposition of higher order laser modes and Gouy phase delay. Finally, the experiment results were verified by the numerical simulations.
参考文献

[1] CULLET P, GIL L, ROCCA F. Optical vortices[J].Optical Communication, 1989, 73: 403-408.

[2] KIVSHAR Y S, OSTROVSKAVA E A. Optical vortices: folding and twisting waves of light[J].Optical Photonics News, 2001, 12(4): 24-28.

[3] DENNIS M R, HOLLERAN K O and PADGETT M J. Singular optics: optical vortices and polarization singularities[J].Progress in Optics, 2009, 53: 293-363.

[4] ALLEN L, BEIJERSBERGEN M W, WOERDMAN J P. Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes[J].Physical Review A, 1992, 45(11): 8185-8189.

[5] SWARTZLANDER G A, LAW C T. Optical vortex solitons observed in Kerr nonlinear media[J].Physical Review Letter, 1992, 69(17): 2503-2506.

[6] DESYATNIKOV A S, KIVSHAR Y S, TORNER L. Optical vortices and vortex solitons[J]. Progress in Optics, 2005, 47: 291-391.

[7] GAN X T, ZHANG P, LIU S, et al. Stabilization and breakup of optical vortices in presence of hybrid nonlinearity[J]. Optical Express, 2009, 17(25): 23130-23136.

[8] GAN X T, ZHANG P, LIU S, et al. Solitary wave evolution of optical planar vortices in self-defocusing photorefractive media[J]. Chinese PhysicsLetters, 2008, 25(9): 3280-3286.

[9] ROZAS D, SACKS Z, SWARTZLANDER G. Experimental observation of fluidlike motion of optical vortices[J]. Physical Review Letter,1997, 79: 3399-3402.

[10] GAN X, ZHAO J, LIU S, et al. Generation and motion control of optical multi-vortex[J]. Chinese Optics Letters, 2009, 7(12): 1142-1145.

[11] 程科,向安平,钟先琼. 经光阑衍射的平顶涡旋光束位相奇点的演化特性. 光子学报, 2012, 41(8): 936-945.

    CHENG Ke, XIANG An-ping, ZHONG Xian-qiong.Evolution of phase singularities of flat-topped vortex beam diffracted by an aperture[J]. Acta Photonic Sinica, 2012, 41(8): 936-945.

[12] 王海燕, 陈川琳, 杜家磊, 等. 贝塞尔高斯涡旋光束在大气湍流中的传输特性. 光子学报, 2013, 42(5):505-510.

    WANG Hai-yan, CHEN Chuan-lin, DU Jia-lei, et al.Propagation of besselgaussian beam with optical vortices in turbulent atmosphere[J].Acta Photonic Sinica, 2013, 42(5): 505-510.

[13] DHOLAKIA K, CIZMAR T. Shaping the future of manipulation[J]. Nature Photonics, 2011, 5(6): 335-342.

[14] 周业鹏,任洪亮,王娟,等. 拉盖尔-高斯光束与高斯光束捕获力比较[J]. 光子学报, 2013, 42(11): 1300-1304.

    ZHOU Ye-peng, REN Hong-liang, WANG Juan, et al. Comparative analysis of the trapping force using laguerre-gaussian beam and Gaussian beam[J]. Acta Photonica Sinica, 2013, 42(11): 1300-1304.

[15] DJORDJEVIC I B. Deep-space and near-Earth optical communications by coded orbital angular momentum (OAM) modulation[J]. Optics Express, 2011, 19(150): 14277-14289.

[16] LEACH J, JACK B, ROMERO J, et al. Quantum correlations in optical angle-orbital angular momentum variables[J]. Science, 2010, 329(5992): 662-665.

[17] 董亮伟, 叶芳伟, 王建东, 等. 带有相反拓扑指数的光学涡流间相互作用研究[J]. 物理学报, 2004, 53(10): 3353-3357.

    DONG Liang-wei, YE Fang-wei, WANG Jian-dong, et al. Interaction between optical vortices carrying opposite topological charges[J]. Chinese Physics B, 2004, 53(10): 3353-3357.

[18] 冯博, 甘雪涛, 刘圣, 等.光波场中多边位错向螺旋位错的转化. 物理学报, 2011, 60(9): 94203-94206.

    FENG Bo, GAN Xue-tao, LIU Sheng, et al. Transformation of multi-edge-dislocations to screw-dislocations in optical field[J]. Chinese Physics B, 2011, 60(9): 94203-94206.

[19] MAMAEV A, SAFFMAN M, ZOZILYA A. Decay of high order optical vortices in anisotropic nonlinear optical media[J]. Physical Review Letter, 1997, 78: 2108-2111.

[20] KIMEL I, ELIAS L. Relations between Hermite and Laguerre-Gaussian modes[J].Quantum Electronics, IEEE Journal of, 1993, 29(9): 2562-2566.

[21] NEIL A T, COURTIAL J. Mode transformations in terms of the constituent Hermite-Gaussian or Laguerre-Gaussian modes and the variable-phase mode converter[J]. Optical Communication, 2000, 181: 35-40.

方亮, 甘雪涛, 赵建林. 利用柱透镜调控涡旋光束的拓扑结构[J]. 光子学报, 2014, 43(3): 0326001. FANG Liang, GAN Xue-tao, ZHAO Jian-lin. Topological Transformation of Vortex Beams Using Cylindrical Lens[J]. ACTA PHOTONICA SINICA, 2014, 43(3): 0326001.

本文已被 3 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!