双焦透镜对Bessel光束传输的影响

谢晓霞; 吴逢铁; 李冬

doi:10.7498/aps.63.180201

摘要

研究非轴对称象散光学元件双焦透镜对无衍射Bessel光束的聚焦特性. 基于空间域中的广义惠更斯-菲涅耳衍射理论衍射积分，用4×4阶矩阵来描述非轴对称光学系统，导出Bessel光通过双焦透镜更为普遍和广义的光强分布表达式，并对其光强进行数值模拟. 分析双焦透镜在x，y面上的焦距取不同值时对Bessel光的影响. 导出的广义光强分布表达式包括了普通透镜、双焦透镜和柱透镜的所有情况. 研究发现，当象散越大，图形畸变程度越大，导致得到的光学bottle beam的光束质量下降，bottle壁变形，囚禁微观粒子的能力也随之下降.

关键词:

Abstract

In this paper, we study the influence of the bifocal lens on the focusing properties of Bessel beam. Based on the generalized Huygens-Fresnel diffraction integral, a more general expression of the light intensity distribution of nonsymmetrical optical system which is described by 4×4 matrix is deduced. The optical field distribution of Bessel beam passing through bifocal lens is given and simulated numerically. The influence of the focal length of the bifocal lens on Bessel beam is analyzed in detail. The generalized expression of the light intensity distribution can involve three cases, i.e., ordinary lens, bifocal lens and cylindrical lens. The greater the astigmation, the poorer the bottle beam quality will be. The ability to imprison microscopic particles decreases.

Keywords:

作者及机构信息

1.
华侨大学信息科学与工程学院, 福建省光传输与变换重点实验室, 厦门 361021

基金项目: 国家自然科学基金（批准号：61178015）、福建省自然科学基金（批准号：2012J01278）和泉州市科技重点项目（批准号：2014Z127）资助的课题.

Authors and contacts

1.
Fujian Key Laboratory of Optical Beam Transmission and Transformation, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61178015), the Natural Science Foundation of Fujian Province, China (Grant No. 2012J01278), and the Science and Technology Key Project of Quanzhou, China (Grant No. 2014Z127).

参考文献

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施引文献

[1]	Xu P, He X D, Wang J, Zhan M S 2010 Opt. Lett. 35 2164
[2]	Ivanov V V, Isaacs J A, Saffman M, Kemme S A, Ellis A R, Brady G R, Wendt J R, Biedermann G W, Samora S 2013 Eprint Arxiv 1305 5309
[3]	Leake K D, Hawkins A R, Schmidt H 2013 Photo. Res. 1 47
[4]	Zhou Q, Lu J F, Yin J P 2010 Chin. Phys. B 19 093202
[5]	Rykov M A, Skidanov R V 2013 International Society for Optics and Photonics San Diego, August 25, 2013 p88102z
[6]	Ramser K, Hanstorp D 2010 J. Biophoton. 3 187
[7]	Du T J, Wang T, Wu F T 2014 Opt. Commun. 317 24
[8]	Vyas S, Kozawa Y, Sato S 2014 Opt. Lett. 39 2080
[9]	Chen G J, Zhou Q Q, Ji X M, Yin J P 2014 Acta Phys. Sin. 63 083701(in Chinese)[陈国钧, 周巧巧, 纪宪明, 印建平 2014 物理学报 63 083701]
[10]	Cai Y, Zhang L 2006 J. Opt. Soc. Am. B 23 1398
[11]	He X, Du T J, Wu F T 2014 Acta Phys. Sin. 63 074201(in Chinese)[何西, 杜团结, 吴逢铁 2014 物理学报 63 074201]
[12]	Gao W, Hu X B, Sun D, Li J Y 2012 Opt. Express 20 20715
[13]	Alpmann C, Esseling M, Rose P, Denz C 2012 Appl. Phys. Lett. 100 111101
[14]	Tao T, Li J, Long Q, Wu X P 2011 Chin. Opt. Lett. 12 12
[15]	Cheng Z M, Wu F T, Fang X, Fan D D, Zhu J Q 2012 Acta Phys. Sin. 61 214201(in Chinese)[程治明, 吴逢铁, 方翔, 范丹丹, 朱健强 2012 物理学报 61 214201]
[16]	Zhang Q A, Wu F T, Zheng W T 2012 Acta Phys. Sin. 61 034205(in Chinese)[张前安, 吴逢铁, 郑维涛 2012 物理学报 61 034205]
[17]	Zhou G, Cai Y, Chu X 2012 Opt. Express 20 9897
[18]	Cai Y, Zhang L 2006 Opt. Commun. 265 607
[19]	Zhao C L, Wang L G, Lu X H, Chen H 2007 Opt. Laser. Technol. 39 1199
[20]	Ez-Zariy L, Nebdi H, Bentefour E H, Belafhal 2012 J. Opt. Photon. 2 318
[21]	Chen H T, Gao Z H, Yang H J, Zuo X F, Wang F H 2012 J. Opt. Soc. Am. A 29 2406
[22]	Bekshaev A Y, Soskin M S, Vasnetsov M V 2004 Opt. Commun. 241 237
[23]	L B D 2003 Laser Optics (Beijing: Higher Education Press) p16-18 (in Chinese)[吕百达 2003 激光光学 (北京: 高等教育出版社) 第16-18页]
[24]	Marcelino A M 2009 Appl. Opt. 48 4826
[25]	Liu L, Wu F T 2008 Acta Opt. Sin. 28 370(in Chinese)[刘岚, 吴逢铁 2008 光学学报 28 370]

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