Tight focusing of axially symmetric polarized vortex beams

doi:10.1088/1674-1056/23/4/044201

Abstract Tight focusing of axially symmetric polarized vortex beams is studied numerically based on vector diffraction theory. The mathematical expressions for the focused fields are derived. Simulation results show that the focused fields and phase distributions at focus are largely influenced by both the polarization order and topological charge of the incident beams. Moreover, focal spots with flat-topped or tightly-focused patterns can be flexibly achieved by carefully choosing the polarization order and the topological charge, which confirms the potential of such beams in wide applications, such as optical tweezers, laser printing, lithography, and material processing.

Keywords: axially symmetric polarization vortex beams tight focusing beam shaping

Received: 03 April 2013
Revised: 23 September 2013
Accepted manuscript online:

PACS:	42.25.Ja	(Polarization)
	42.30.Va	(Image forming and processing)
	42.62.Be	(Biological and medical applications)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61108047 and 61240057), the Program for New Century Excellent Talents in University, China (Grant No. NCET-13-0667), and the Beijing Excellent Talent TrainingProject, China (Grant No. 2011D005007000008).

Corresponding Authors: Zhou Zhe-Hai
E-mail: zhouzhehai@bistu.edu.cn

About author: 42.25.Ja; 42.30.Va; 42.62.Be

Cite this article:

Zhou Zhe-Hai (周哲海), Guo Yang-Kuan (郭阳宽), Zhu Lian-Qing (祝连庆) Tight focusing of axially symmetric polarized vortex beams 2014 Chin. Phys. B 23 044201

[1]	Soskin M S and Vasnetsov M V 2011 Prog. Opt. 42 219
[2]	Vasnetsov M V and Staliunas K 1999 Optical Vortices (New York: Nova Science Publishers)
[3]	Allen L, Bejiersbergen M W, Spreeuw R J C and Woerdman J P 1992 Phys. Rev. A 45 8185
[4]	Allen L and Padgett M J 2000 Opt. Commun. 184 67
[5]	Roux F S 2004 Opt. Commun. 242 45
[6]	Zhao Y, Edgar J S, Jeffries G D M, McGloin D and Chiu D T 2007 Phys. Rev. Lett. 99 073901
[7]	Gahagan K T and Swartzlander G A 1996 Opt. Lett. 21 827
[8]	Simpson N B, Dholakia K, Allen L and Padgett M J 1997 Opt. Lett. 22 52
[9]	Paterson L, MacDonald M P, Arlt J, Sibbett W, Bryant P E and Dholakia E 2001 Science 292 912
[10]	Khonina S N, Kotlyar V V, Shinkaryev M V, Soifer V A and Uspleniev G V 1992 J. Mod. Opt. 39 1147
[11]	Courtial J, Robertson D A, Dholakia K, Allen L and Padgett M J 1998 Phys. Rev. Lett. 81 4828
[12]	Sacks Z S, Rozas D and Swartzlander G A 1998 J. Opt. Soc. Am. B 15 2226
[13]	Wang Q, Sun X W, Shum P and Yin X J 2005 Opt. Express 13 10285
[14]	Beijersbergen M W, Coerwinkel R P C, Kristensen M and Woerdman J P 1994 Opt. Commun. 112 321
[15]	Rao L Z, Pu J X, Chen Z Y and Yei P 2009 Opt. Laser Technol. 41 241
[16]	Pu J X and Zhang Z M 2010 Opt. Laser Technol. 42 186
[17]	Zhang Z M, Pu J X and Wang X Q 2008 Chin. Phys. Lett. 25 1664
[18]	Zhou Z H, Tan Q F and Jin G F 2011 Appl. Opt. 50 G80
[19]	Chen H, Hao J, Zhang B, Xu J, Ding J L and Wang H T 2011 Opt. Lett. 36 3179
[20]	Zhou Z H, Tan Q F and Jin G F 2009 Chin. Opt. Lett. 7 938
[21]	Richards B and Wolf E 1959 Proc. R. Soc. London Ser. A 253 358

[1]	Generation of elliptical airy vortex beams based on all-dielectric metasurface Xiao-Ju Xue(薛晓菊), Bi-Jun Xu(徐弼军), Bai-Rui Wu(吴白瑞), Xiao-Gang Wang(汪小刚), Xin-Ning Yu(俞昕宁), Lu Lin(林露), and Hong-Qiang Li(李宏强). Chin. Phys. B, 2023, 32(2): 024215.
[2]	Tightly focused properties of a partially coherent radially polarized power-exponent-phase vortex beam Kang Chen(陈康), Zhi-Yuan Ma(马志远), and You-You Hu(胡友友). Chin. Phys. B, 2023, 32(2): 024208.
[3]	Recent advances in generation of terahertz vortex beams andtheir applications Honggeng Wang(王弘耿), Qiying Song(宋其迎), Yi Cai(蔡懿), Qinggang Lin(林庆钢), Xiaowei Lu(陆小微), Huangcheng Shangguan(上官煌城), Yuexia Ai(艾月霞), Shixiang Xu(徐世祥). Chin. Phys. B, 2020, 29(9): 097404.
[4]	Pulling force of acoustic-vortex beams on centered elastic spheres based on the annular transducer model Yuzhi Li(李禹志), Qingdong Wang(王青东), Gepu Guo(郭各朴), Hongyan Chu(褚红燕), Qingyu Ma(马青玉), Juan Tu(屠娟), Dong Zhang(章东). Chin. Phys. B, 2020, 29(5): 054302.
[5]	Paraxial propagation of cosh-Airy vortex beams in chiral medium Xiao-Jin Yang(杨小锦), Zhen-Sen Wu(吴振森), Tan Qu(屈檀). Chin. Phys. B, 2020, 29(3): 034201.
[6]	Comparison of three kinds of polarized Bessel vortex beams propagating through uniaxial anisotropic media Jia-Wei Liu(刘佳伟), Hai-Ying Li(李海英), Wei Ding(丁炜), Lu Bai(白璐), Zhen-Sen Wu(吴振森), Zheng-Jun Li(李正军). Chin. Phys. B, 2019, 28(9): 094214.
[7]	Propagation properties of chirped Airy vortex beams with x-polarization through uniaxial crystals Linyi Wang(王琳昳), Jianbin Zhang(张建彬), Liyan Feng(冯丽燕), Zihao Pang(庞子灏), Tianfen Zhong(钟甜芬), Dongmei Deng(邓冬梅). Chin. Phys. B, 2018, 27(5): 054103.
[8]	Nonparaxial propagation properties of the chirped Airy Gaussian vortex beams in uniaxial crystals orthogonal to the optical axis Yizuo Chen(陈奕佐), Guanwen Zhao(赵官文), Feng Ye(叶峰), Chuangjie Xu(许创杰), Dongmei Deng(邓冬梅). Chin. Phys. B, 2018, 27(10): 104201.
[9]	Laser beam shaping with magnetic fluid-based liquid deformable mirrors Zhi-Zheng Wu(吴智政), Zhu Zhang(张柱), Xiang-Hui Kong(孔祥会), Jun-Qiu Wu(吴君秋), Tao Wang(王韬), Mei Liu(刘梅), Shao-Rong Xie(谢少荣). Chin. Phys. B, 2017, 26(7): 074201.
[10]	Propagation of Airy Gaussian vortex beams in uniaxial crystals Weihao Yu(余伟浩), Ruihuang Zhao(赵瑞璜), Fu Deng(邓富), Jiayao Huang(黄加耀), Chidao Chen(陈迟到), Xiangbo Yang(杨湘波), Yanping Zhao(赵燕平), Dongmei Deng(邓冬梅). Chin. Phys. B, 2016, 25(4): 044201.
[11]	STED microscopy based on axially symmetric polarized vortex beams Zhehai Zhou(周哲海), Lianqing Zhu(祝连庆). Chin. Phys. B, 2016, 25(3): 030701.
[12]	Experimental verification on tightly focused radially polarized vortex beams Du Fu-Rong (杜富荣), Zhou Zhe-Hai (周哲海), Tan Qiao-Feng (谭峭峰), Yang Chang-Xi (杨昌喜), Zhang Xiao-Qing (张晓青), Zhu Lian-Qing (祝连庆). Chin. Phys. B, 2013, 22(6): 064202.
[13]	Propagation properties of stochastic electromagnetic double-vortex beams in turbulent atmosphere Fang Gui-Juan (方桂娟), Pu Ji-Xiong (蒲继雄). Chin. Phys. B, 2012, 21(8): 084203.
[14]	Tight focusing of partially polarized vortex beams by binary phase Fresnel zone plates Shu Jian-Hua(舒建华), Chen Zi-Yang(陈子阳),Pu Ji-Xiong(蒲继雄), and Liu Yong-Xin(刘永欣) . Chin. Phys. B, 2011, 20(11): 114202.
[15]	Tight focusing of femtosecond elliptically polarised vortex light pulses Hua Li-Min(华黎闽),Chen Bao-Suan(陈宝算),Chen Zi-Yang(陈子阳),and Pu Ji-Xiong(蒲继雄) . Chin. Phys. B, 2011, 20(1): 014202.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Tight focusing of axially symmetric polarized vortex beams

Cite this article:

Online attention