[1]王硕琛,梅小华,谢晓霞,等.无衍射光束簇[J].华侨大学学报(自然科学版),2016,37(2):149-154.[doi:10.11830/ISSN.1000-5013.2016.02.0149]
　WANG Shuochen,MEI Xiaohua,XIE Xiaoxia,et al.Family of Non-Diffractting Beam[J].Journal of Huaqiao University(Natural Science),2016,37(2):149-154.[doi:10.11830/ISSN.1000-5013.2016.02.0149]
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无衍射光束簇()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第37卷
期数:
2016年第2期
页码:
149-154
栏目:
出版日期:
2016-03-20

文章信息/Info

Title:
Family of Non-Diffractting Beam
文章编号:
1000-5013(2016)02-0149-06
作者:
王硕琛1; 2;  梅小华1;  谢晓霞1; 2;  吴逢铁1; 2
1. 华侨大学 信息科学与工程学院, 福建 厦门 361021;2. 福建省光传输与变换重点实验室, 福建 厦门 361021
Author(s):
WANG Shuochen1; 2;  MEI Xiaohua1;  XIE Xiaoxia1; 2;  WU Fengtie1; 2
1. College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China, 2. Fujian Key Laboratory of Optical Beam Transmission and Transformation, Xiamen 361021, China
关键词:
无衍射光束;  光强分布图;  自重建;  光束表达式
Keywords:
non-diffracting beam;  the optical intensity distribution;  self-reconstruction;  expression of beam
分类号:
O436.1
DOI:
10.11830/ISSN.1000-5013.2016.02.0149
文献标志码:
A
摘要:
波动方程在笛卡尔坐标系、圆柱坐标系、椭圆柱坐标系及抛物线坐标系下可求得无衍射解,分别是余弦(Cos)光束、贝塞尔(Bessel)光束、马蒂厄(Mathieu)光束和抛物线(Parabolic)光束,它们组成了无衍射光束家族(又称亥姆霍兹光束).介绍这4种光束的具体表达式及光强分布图和自重建过程.最后,对4种无衍射光束进行比较,总结了无衍射光束的应用热点,并展望未来.
Abstract:
Non-diffraction solutions of wave equation can be obtained in Cartesian coordinates, cylindrical coordinates, elliptical cylindrical coordinates and parabolic coordinates, those are Cos(Cosine)beam, Bessel beam, Mathieu beam and Parabolic beam, and they make up the non-diffracting family(also known as Helmholtz beam). In this article, we introduce their specific expression, beam intensity distribution and self-reconstruction process. At last the four non-diffracting beam were compared to each other, and we sum up the hot applications of the diffraction-free beam and look to the future.

参考文献/References:

[1] DURNIN J.Exact solutions for nondiffracting beams I the scalar theory[J].J Opt Soc Am A,1987,4(4):651-654.
[2] DURNIN J,MICELI J J,EBERLY J H.Diffraction-free beams[J].Phys Rev Lett,1987,58(15):1499-1501.
[3] SALO J,FAGERHOLM J,FRIBERG A T,et al.Unified description of nondiffracting x and y waves[J].Phys Rev E: Stat Phys Plasmas Fluids,2000,62(3):4261-4275.
[4] GORI F,GUATTARI G,PADOVANI C.Bessel-Gauss beams[J].Optics Communications,1987,64(6):491-495.
[5] DHOLAKIA M G K.Bessel beams: Diffraction in a new light[J].Contemporary Physics,2005,46(1):15-28.
[6] GUTIéRREZ-VEGA J C,ITURBE-CASTILLO M D,CHáVEZ-CERDA S.Alternative formulation for invariant optical fields: Mathieu beams[J].Optics Letters,2000,25(20):1493-1495.
[7] GUTIéRREZ-VEGA J C,ITURBE-CASTILLO M D,RAMREZ G A,et al.Experimental demonstration of optical mathieu beams[J].Optics Communications,2001,195(1):35-40.
[8] BANDRES M A,GUTIéRREZ-VEGA J C,CHáVEZ-CERDA S.Parabolic nondiffracting optical wave fields[J].Optics Letters,2004,29(1):44-46.
[9] LóPEZ-MARISCAL C,BANDRES M,GUTIéRREZ-VEGA J,et al.Observation of parabolic nondiffracting optical fields[J].Optics Express,2005,13(13):2364-2369.
[10] MACDONALD R P,BOOTHROYD S A,OKAMOTO T,et al.Interboard optical data distribution by Bessel beam shadowing[J].Optics Communications,1996,122(4):169-177.
[11] GARCéS-CHáVEZ V,MCGLOIN D,MELVILLE H,et al.Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam[J].Nature,2002,419(6903):145-147.
[12] MENDOZA-HERNáNDEZ J,ARROYO-CARRASCOL M L,MéNDEZ-OTERO M M,et al.Self-healing of beams with angular momentum[C]//Laser Science Optical Society of America.Orlando:[s.n.],2013:JW3A-31.
[13] 李冬,吴逢铁,谢晓霞,等.无衍射Mathieu光束自重建特性的理论和实验研究[J].物理学报,2015,64(1):014201(1-6).
[14] BELAFHAL A,HRICHA Z.Generalized formulation of mathieu beams[J].Physical and Chemical News,2004,16:33-36.
[15] 王绍民,林强,江晓清.余弦-高斯光束[J].光子学报,1999,28(4):367-370.
[16] NADGARAN H,FALLAH R.Thermally-affected cosine-gauss and parabolic-gauss beams and comparisons of helmholtz-Gauss beam families[J].Optics Communications,2015,341:160-172.
[17] GUTIéRREZ-VEGA J C,BANDRES M A.Helmholtz-Gauss waves[J].JOSA A,2005,22(2):289-298.
[18] TURUENEN J,VASARA A,FRIBERG A T.Holographic generation of diffraction-free beams[J].Appl Opt,1988,27(19):3959-3962.
[19] VASARA A,TURUENEN J,FRIBERG A T.Realization of gerneral nondiffracting beams with computer-generated holograms[J].J Opt Soc Am,1989,6(11):1748-1754.
[20] HERMAN R M,WIGGINS T A.Production and uses of diffractionless beams[J].J Opt Soc Am,1991,8(6):932-942.
[21] HERMAN R M,WIGGINS T A.Apodization of diffraction-less beams[J].Appl Opt,1992,31(28):5913-5925.
[22] SCOTT G,MCARDIE N.Efficient generation of nearly diffraction-free beams using an axicon[J].Opt Eng,1992,31(12):2640-2643.
[23] 江新光,吴逢铁.像散对轴棱锥衍射特性的影响与修正[J].物理学报,2008,57(7):4202-4207.
[24] 吴逢铁,江新光.轴棱锥顶点加工误差的修正[J].光学精密工程,2009,17(10):2506-2511.
[25] WU Fengtie,CHEN Yinbin,GUO Dongdong.Nanoseond pulsed Bessel-Guass beam generated directly from a Nd: YAG axicon-based resonator[J].Appl Opt,2007,46(22):4943-4947.
[26] MA Baotian,WU Fengtie,LU Wenhe,et al.Nanosecond zero-order Bessel-Gauss pulse generated from unstable resonator based on an axicon[J].Opt and Laser Tech,2010,42(6):941-944.
[27] XIE Z,ARMBRUSTER V,GROSJEAN T.Axicon on a gradient index lens(AXIGRIN): Integrated optical bench for Bessel beam generation from a point-like source[J].Applied Optics,2014,53(26):6103-6107.
[28] 郑维涛,吴逢铁,张前安,等.双轴棱锥产生长距离近似无衍射光的新技术[J].物理学报,2012,61(14):181-187.
[29] 孙川,何艳林,陈婧,等.线性径向梯度折射率透镜产生贝塞尔光[J].中国激光,2015,4(8):0802002(1-6).
[30] 范丹丹,张前安,程治明,等.Bessel光束自重建的模拟仿真与实验验证[J].物理学报,2012,61(16):192-204.
[31] 范丹丹,吴逢铁,程治明,等.非相干光源无衍射光的自重建[J].物理学报,2013,62(10):256-261.
[32] 张前安,吴逢铁,郑维涛,等.高阶贝塞尔-高斯光束的自重建特性[J].中国科学:物理学 力学 天文学,2011,41(10):1131-1137.
[33] 何西,吴逢铁,李攀,等.非相干LED光源产生高阶Bessel光束[J].中国科学,2014,35(7):705-711.
[34] ALPMANN C,BOWMAN R,WOERDEMANN M,et al.Mathieu beams as versatile light moulds for 3D micro particle assemblies.[J].Optics Express,2010,18(25):26084-26091.
[35] LEAKE K D,HAWKINS A R,SCHMIDT H.All-optical particle trap using orthogonally intersecting beams[J].Photonics Research,2013,1(1):47-51.
[37] 刘彬,吴逢铁,江新光.利用无衍射贝塞耳光束多层面操控微粒[J].中国激光,2009,36(2):379-382.
[38] WANG N,CHEN J,LIU S,et al.Dynamical and phase-diagram study on stable optical pulling force in Bessel beams[J].Physical Review A,2013,87(6):4077-4082.
[39] 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[J].光子学报,2013,42(5):505-510.
[40] PKANCHON T A,GAO L,MILKIE D E,et al.Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination[J].Nature Methods,2011,8(5):417-423.
[41] 江月松,张新岗,王帅会,等.部分相干贝塞尔高斯光束在非柯尔莫哥诺夫湍流中的传输特性[J].光子学报,2014,43(1):0101001(1-6).
[42] OK G,CHOI S W,PARK K H,et al.Foreign object detection by sub-terahertz quasi-bessel beam imaging[J].Sensors,2012,13(1):71-85.
[43] MURUKESHAN V M,HONG Xun,JESMOND J,et al.Non-contact high resolution Bessel beam probe for diagnostic imaging of cornea and trabecular meshwork region in eye[C]//Clinical and Biomedical Spectroscopy and Imaging IV.Munich:[s.n.],2015:953728.
[44] 马国鹭,曾国英.基于无衍射探针的空间坐标测量及其不确定度分析[J].光学学报,2015,5(5):0512005(1-8).

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　LIU Lan,WU Feng-tie,ZENG Xia-hui.Study on the On-Axis Intensity and the Maximum Collimated Distance for an Non-Diffraction Beam[J].Journal of Huaqiao University(Natural Science),2007,28(2):350.[doi:10.3969/j.issn.1000-5013.2007.04.004]

备注/Memo

备注/Memo:
收稿日期: 2015-08-29
通信作者: 吴逢铁(1958-),男,教授,博士,主要从事光束传输与变换,短脉冲技术及非线性光学的研究.E-mail:fengtie@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(61178015); 福建省科技创新平台计划项目(2012H2002); 福建省泉州市科技重点项目(2013Z20, 2014Z127)
更新日期/Last Update: 2016-03-20