正弦高斯涡旋光束的远场传输特性

唐碧华; 罗亚梅; 高曾辉; 姜云海

光子学报, 2014, 43 (7): 0726002, 网络出版: 2014-08-18

正弦高斯涡旋光束的远场传输特性

Vectorial Structure Characteristics of SinGaussian Vortex Beams in the Far Field

论文大纲

唐碧华 ^1,*罗亚梅 ^1,2高曾辉 ²姜云海 ¹

作者单位

¹ 正弦高斯涡旋光束的远场传输特性

² 宜宾学院计算物理重点实验室，四川宜宾 644000

摘要

根据角谱法和稳相法，推导了正弦高斯涡旋光束TE波和TM波在远场传输和能流密度的解析表达式，研究了正弦高斯涡旋光束在远场中的相位奇点和能流密度分布.结果表明:正弦高斯涡旋光束的远场特性与高斯光束的束腰宽度、涡旋离轴量、坐标位置以及与正弦项相关的参量有关.在一定条件下，远场中会出现相位奇点和能流密度黑核；当控制参量改变时，相位奇点和黑核的位置会发生移动，但原点处不受影响.相位奇点和能流密度的对称性主要受涡旋离轴量影响，当涡旋离轴量为0时，相位奇点和能流密度分布关于原点对称；当涡旋离轴量改变时，相位奇点和能流密度分布呈现出非对称性.

Abstract

Based on the methods of vector angular spectrum and stationary phase, the analytical expressions of the TE and TM terms and the energy flux distributions of sinGaussian vortex beams in the far field were derived and used to analyze the phase singularities and energy flux distributions. It is shown that the farfield properties of sinGaussian vortex beams are dependent on the waist width of Gaussian beam, offaxis distance, position of coordinate and parameter related to the sine functions. Under certain conditions phase singularities and black nuclei of the energy flux distributions will appear in the far field. By changing the controlling parameters of the beams, phase singularities and black nuclei excluding those at the origin will vary. The symmetry of the phase singularities and the energy flux distributions is dependent on the vortex offaxis distance. The distributions of phase singularities and energy flux are symmetrical about the origin in case the offaxis distance is zero. With varying the offaxis distance the asymmetry may take place and the results were analyzed.

参考文献

[1] COULLET P, GIL L, ROCCA F. Optical vortices［J］. Optics Communications. 1989, 73(5): 403-408.

[2] AKSENOV V, BANAKH V, TIKHOMIROVA O. Potential and vortex features of optical speckle fields and visualization of wavefront singularities［J］. Applied Optics, 1998, 37(21): 4536-4540.

[3] FREUND I, SHVARTSMAN N, FREILIKHER V. Optical dislocation networks in highly random media［J］. Optics Communications, 1993, 101(34): 247-264.

[4] FREUND I. Optical vortices in Gaussian random wave fields: statistical probability densities［J］. Journal of the Optical Society of America A, 1994, 11(5): 1644-1652.

[5] FREUND I. Phase correlations at neighboring intensity critical points in Gaussian random wave fields［J］. Applied Optics, 1998, 37(32): 7560-7567.

[6] 陆璇辉, 黄慧琴, 赵承良, 等. 涡旋光束和光学涡旋［J］. 激光与光电子学进展, 2008, 45(1): 50-56.

LU Xuanhui, HUANG Huiqin, ZHAO Chengliang, et al. Optical vortex beams and optical vortices［J］. Laser & Optoelectronics Progress, 2008, 45(1): 50-56.

[7] 仓吉, 张逸新, 徐建才. 大气湍流中高斯空心涡旋光束的焦面光强分布［J］. 光子学报, 2009, 38(8): 2122-2125.

CANG Ji, ZHANG Yixin, XU Jiancai. Intensity distribution of focused hollow vortex beams with a Gaussian background in turbulent atmosphere［J］. Acta Photonica Sinica, 2009, 38(8): 2122-2125.

[8] RAO Lianzhou, PU Jixiong. Focusing of partially coherent vortex beams by an aperture lens［J］. Chinese Physics Letters, 2007, 24(5): 1252-1255.

[9] 丁攀峰, 蒲继雄. 离轴拉盖尔高斯涡旋光束传输中的光斑演变［J］.物理学报, 2012, 61(6): 064103.

DING Panfeng, PU Jixiong. Change of the offcenter LaguerreGaussian vortex beam while propagation［J］. Acta Physica Sinica, 2012, 61(6): 064103.

[10] CASPERSON L W, HALL D G, TOVAR A A. SinusoidalGaussian beams in complex optical systems［J］. Journal of the Optical Society of America A, 1997, 14(12): 3341-3348.

[11] TOVAR A A, CASPERSON L W. Production and propagation of HermitesinusoidalGaussian laser beams［J］. Journal of the Optical Society of America A, 1998, 15(9): 2425-2432.

[12] 王喜庆，柯尊平，吕百达. 正弦类高斯光束通过硬边光阑的衍射损耗［J］. 激光技术，2001, 25(1):35-39.

WANG Xiqing, KE Zunping, LV Baida. Losses of sinusoidalGaussian beams propagating through a hard aperture［J］. Laser Technology, 2001, 25(1): 35-39.

[13] CHEN R P, ZHENG H P, CHU X X. Propagation properties of a sinhGaussian beam in a Kerr medium［J］. Applied Physics B, 2011, 102(3): 695-698.

[14] 黄玉霖, 王莉, 孔瑞霞, 等. 用二阶矩法研究复宗量正弦高斯光束的焦移［J］. 西南交通大学学报，2005, 40(3): 430-434.

HUANG Yulin, WANG Li, KONG Ruixia, et al. Focal shift in elegant sinGaussian beams using secondorder moment method［J］. Journal of Southwest Jiaotong University, 2005, 40(3): 430-434.

[15] 贾文武,汪岳峰,黄峰, 等. 半导体激光器矢量光场分布研究［J］.激光技术, 2008, 32(5): 505-507.

JIA Wenwu, WANG Yuefeng, HUANG Feng, et al. Study on vector light field of laser diodes［J］. Laser Technology, 2008, 32(5): 505-507.

[16] ZHOU G. Analytical vectorial structure of a LorentzGauss beam in the far field［J］. Applied Physics B, 2008, 93(4): 891899.

[17] LI J, CHEN Y, XU S, et al. Analytical vectorial structure of HermitecosineGaussian beam in the far field ［J］. Optics & Laser Technology, 2011, 43(1): 152-157.

[18] WU G, LOU Q, ZHOU J. Analytical vectorial structure of hollow Gaussian beams in the far field［J］. Optics Express, 2008, 16(9): 6417-6424.

[19] MARTNEZHERRERO R, MEJAS P M, BOSCH S, et al. Vectorial structure of nonparaxial electromagnetic beams［J］. Journal of the Optical Society of America A, 2001, 18(7): 1678-1680.

唐碧华, 罗亚梅, 高曾辉, 姜云海. 正弦高斯涡旋光束的远场传输特性[J]. 光子学报, 2014, 43(7): 0726002. TANG Bihua, LUO Yamei, GAO Zenghui, JIANG Yunhai. Vectorial Structure Characteristics of SinGaussian Vortex Beams in the Far Field[J]. ACTA PHOTONICA SINICA, 2014, 43(7): 0726002.

正弦高斯涡旋光束的远场传输特性

关于本站 Cookie 的使用提示

全站搜索

正弦高斯涡旋光束的远场传输特性

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索