离轴椭圆矢量光场传输中的光斑演变

李杨; 朱竹青; 王晓雷; 贡丽萍; 冯少彤; 聂守平

doi:10.7498/aps.64.024204

摘要

对离轴椭圆矢量光场的传输特性进行了研究. 推导出离轴椭圆矢量光场在自由空间传输电场和光强的解析表达式. 数值分析结果表明, 离轴高阶圆柱矢量光场具有非对称的光强分布, 传输后的光强分布由传输距离、错位位移、椭圆率决定. 在传输过程中除了光斑会展宽外, 光场中的暗斑会逐渐消失, 最终趋于一种稳态光强分布; 相对于初入射平面的椭圆光斑, 稳态椭圆光斑长短轴互换了. 研究结果有助于深入理解离轴情况下椭圆矢量光场的动态传输特性, 同时可以指导实际椭圆矢量光场的校准.

关键词:

Abstract

The propagation characteristics of the off-axis ellipse vector beam (OEVB) are studied in this paper. The analytic expressions of the electric field and the intensity after OEVB propagating in free-space are derived. Numerical results indicate that the intensity distribution of OEVB is asymmetric and the intensity distribution after propagating is determined by propagation distance, dislocation displacement and ellipticity. In addition to expanding, the intensity distribution of OEVB tends to steady-state distribution finally and the dark core of vector beam disappears gradually during propagation. The major axis and minor axis of the ellipse intensity distribution in the steady-state are exchanged with each other as compared with in the initial plane. The results can help us to understand the dynamic propagation characteristics of the ellipse vector beam under the off-axis situation, and they can also guide the calibration of the ellipse vector beam in practice.

Keywords:

作者及机构信息

1.
南京师范大学物理与科学技术学院, 江苏省光电技术重点实验室, 南京 210023;

2.
南开大学现代光学研究所, 光学信息技术科学教育部重点实验室, 天津 300071

基金项目: 国家自然科学基金(批准号: 61275133, 61377003)、江苏省高等学校研究生科研创新计划(批准号: KYLX0720)和江苏省高校优势学科建设工程项目资助的课题.

Authors and contacts

1.
Key Laboratory of Optoelectronic Technology of Jiangsu Province, School of Physical Science and Technology, Nanjing Normal University, Nanjing 210023, China;

2.
Key Laboratory of Optical Information Science and Technology of Ministry of Education, Institute of Modern Optics, Nankai University, Tianjin 300071, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61275133, 6137003), the Scientific Research Innovation Program for the Graduate Students in Institution of Higher Education of Jiangsu Province, China (Grants: KYLX0720), and the Priority Academic Program Development of Jiangsu Higher Education Institutions, China.

参考文献

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[3]	Zhan Q, Leger J 2002 Opt. Express 10 324
[4]	Youngworth K, Brown T 2000 Opt. Express 7 77
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[9]	Kawauchi H, Yonezawa K, Kozawa Y, Sato S 2007 Opt. Lett. 32 1839
[10]	Salamin Y I 2007 Opt. Lett. 32 90
[11]	Gupta D N, Kant N, Kim D E, Suk H 2007 Phys. Lett. A 368 402
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[17]	Hong L, Xizheng K 2009 Acta Opt. Sin. 29 331
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[20]	Wang T, Pu J X 2009 Chin. J. Lasers 36 2902 (in Chinese) [王涛, 蒲继雄 2009 中国激光 36 2902]
[21]	Ding P F, Pu J X 2012 Acta Phys. Sin. 61 064103 (in Chinese) [丁攀峰, 蒲继雄 2012 61 064103]
[22]	Liu P, L B 2008 Opt. Laser Technol. 40 227
[23]	Zhang M M, Zhao Q, Xin Y, Chen Y R 2013 Sciencepaper Online (in Chinese) [张明明, 赵琦, 辛熠, 陈延如2013中国科技论文在线]
[24]	Zhang M M, Zhao Q, Xin Y, Chen Y R, Yu R L, Hua Y C 2013 Sciencepaper Online (in Chinese) [张明明, 赵琦, 辛熠, 陈延如, 俞仁龙, 华翌辰2013中国科技论文在线]
[25]	Cai Y, Lin Q, Eyyuboglu H T, Baykal Y 2008 Opt. Express 16 7665
[26]	Wang H, Liu D, Zhou Z 2010 Appl. Phys. B 101 361
[27]	Freund I 2002 Opt. Commun. 201 251
[28]	Schoonover R W, Visser T D 2006 Opt. Express 14 5733
[29]	Li H R 2011 Ph. D. Dissertation (Shanghai: East China Normal University) (in Chinese) [李会容2011博士学位论文(上海: 华东师范大学)]
[30]	Li H R, Yin J P 2010 Chin. Phys. B 19 083204
[31]	Tovar A A 1998 J. Opt. Soc. Am. A 15 2705
[32]	Bomzon Z, Hasman E 2000 Appl. Phys. Lett. 77 3322
[33]	Gradshteyn I S, Ryzhik I M 1980 Tables of Integrals, Series and Products: Corrected and Enlarged Edition (New York: Academic Press, Elsevier) p336

施引文献

[1]	Zhan Q 2009 Adv. Opt. Photon. 1 1
[2]	Grosjean T, Courjon D 2007 Opt. Commun. 272 314
[3]	Zhan Q, Leger J 2002 Opt. Express 10 324
[4]	Youngworth K, Brown T 2000 Opt. Express 7 77
[5]	Zhao W Q, Tang F, Qiu L R, Liu D L 2013 Acta Phys. Sin. 62 054207 (in Chinese) [赵维谦, 唐芳, 邱丽荣, 刘大礼 2013 62 054207]
[6]	Wang Z, Gao C Q, Xin J D 2012 Acta Phys. Sin. 61 124209 (in Chinese) [王铮, 高春清, 辛璟焘 2012 61 124209]
[7]	Kuga T, Torii Y, Shiokawa N, Hirano T, Shimizu Y, Sasada H 1997 Phys. Rev. Lett. 78 4713
[8]	Zhan Q W 2004 Opt. Express 12 3377
[9]	Kawauchi H, Yonezawa K, Kozawa Y, Sato S 2007 Opt. Lett. 32 1839
[10]	Salamin Y I 2007 Opt. Lett. 32 90
[11]	Gupta D N, Kant N, Kim D E, Suk H 2007 Phys. Lett. A 368 402
[12]	Sheppard C J, Choudhury A 2004 Appl. Opt. 43 4322
[13]	Watanabe K, Horiguchi N, Kano H 2007 Appl. Opt. 46 4985
[14]	Chen W B, Zhan Q W 2007 Opt. Express 15 4106
[15]	Kim W, Park N, Yoon Y, Choi H, Park Y 2007 Opt. Rev. 14 236
[16]	Bouchal Z, Celechovsky R 2004 New J. Phys. 6 131
[17]	Hong L, Xizheng K 2009 Acta Opt. Sin. 29 331
[18]	Ding P F, Pu J X 2011 Acta Phys. Sin. 60 338 (in Chinese) [丁攀峰, 蒲继雄 2011 60 338]
[19]	Gao F H, Chen B S, Pu J X, Zhu J Q 2011 Laser Optoelectron. Prog. 48 40 (in Chinese) [高福海, 陈宝算, 蒲继雄, 朱健强 2011 激光与光电子学进展 48 40]
[20]	Wang T, Pu J X 2009 Chin. J. Lasers 36 2902 (in Chinese) [王涛, 蒲继雄 2009 中国激光 36 2902]
[21]	Ding P F, Pu J X 2012 Acta Phys. Sin. 61 064103 (in Chinese) [丁攀峰, 蒲继雄 2012 61 064103]
[22]	Liu P, L B 2008 Opt. Laser Technol. 40 227
[23]	Zhang M M, Zhao Q, Xin Y, Chen Y R 2013 Sciencepaper Online (in Chinese) [张明明, 赵琦, 辛熠, 陈延如2013中国科技论文在线]
[24]	Zhang M M, Zhao Q, Xin Y, Chen Y R, Yu R L, Hua Y C 2013 Sciencepaper Online (in Chinese) [张明明, 赵琦, 辛熠, 陈延如, 俞仁龙, 华翌辰2013中国科技论文在线]
[25]	Cai Y, Lin Q, Eyyuboglu H T, Baykal Y 2008 Opt. Express 16 7665
[26]	Wang H, Liu D, Zhou Z 2010 Appl. Phys. B 101 361
[27]	Freund I 2002 Opt. Commun. 201 251
[28]	Schoonover R W, Visser T D 2006 Opt. Express 14 5733
[29]	Li H R 2011 Ph. D. Dissertation (Shanghai: East China Normal University) (in Chinese) [李会容2011博士学位论文(上海: 华东师范大学)]
[30]	Li H R, Yin J P 2010 Chin. Phys. B 19 083204
[31]	Tovar A A 1998 J. Opt. Soc. Am. A 15 2705
[32]	Bomzon Z, Hasman E 2000 Appl. Phys. Lett. 77 3322
[33]	Gradshteyn I S, Ryzhik I M 1980 Tables of Integrals, Series and Products: Corrected and Enlarged Edition (New York: Academic Press, Elsevier) p336

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