A novel method of generating qausi-non-diffracting Mahtieu beam based on axicon

Li Dong; Wu Feng-Tie; Xie Xiao-Xia

doi:10.7498/aps.63.152401

Abstract

A novel method of generating zero order non-diffracting Mathieu beam with an axicon is proposed. To create quasi non-diffracting Mahtieu beam, an axicon is used to focus a plane wave modulated by elliptical Gaussian amplitude. Based on the formula of diffraction integral of a plane wave modulated by elliptical Gaussian amplitude propagating through the axicon, the intensity of quasi non-diffracting beam is simulated numerically. The maximum propagation distance of the quasi-non-diffracting Mathieu beam is calculated according to a geometrical optical model. To verify the results of the theory, an experimental setup is designed.Using a cylindrical lens and a collimating and expanding system, a circular Gaussian beam can be converted in to a plane wave modulated by elliptical Gaussian amplitude. Focusing the plane wave using an axicon, a qausi-non-diffracting Mathieu beam can be generated. The exoerimental results are consistent with theoretical calcuations and numerical simulations.

Keywords:

non-diffracting Mathieu beam /
plane wave modulated by elliptical Gaussian amplitude /
axicon /
cylindrical lens

Authors and contacts

1.
College of Information Science and Engineering, Huaqiao University, Fujian Key Laboratory of Optical Beam Transmission and Transformation, Xiamen 361021, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 611780515), and the Natural Science Foundation of Fujian Province, China(Grant No. 2012J01278).

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Cited By

[1]	Durnin J, Miceli J J, Eberly J 1987 Phys. Rev. Lett. 58 1499
[2]
[3]
[4]	Fan D D, Wu F T, Cheng Z M, Zhu J Q 2013 Acta Phys. Sin. 62 104219 (in Chinese) [范丹丹, 吴逢铁, 程治明, 朱健强 2013 62 104219br>
[5]
[6]	Zhang Q A, Wu F T, Zheng W T, Pu J X 2011 Scientia Sininca Physica, Mechanica & Astronomica 41 1131 (in Chinese) [张前安, 吴逢铁, 郑维涛, 蒲继雄 2011 中国科学: 41 1131]
[7]	Zhao J, Zhang P, Deng D, Lou C, Song D, Liu J, Chen Z 2013 Chin. Opt. Let. 11 110701
[8]
[9]	Gutiérrez-Vega J C, Bandres M A 2005 J. Opt. Soc. Am. A 22 289
[10]
[11]
[12]	Wen W 2007 Ph. D. Dissertation (Changsha: Centeal South University) (in Chinese) [文伟 2007 博士学位论文(长沙: 中南大学)]
[13]	Gutierrez-Vega J C, Iturbe-Castillo M D, Chavez-Cerda S 2000 Opt. Lett. 25 1493
[14]
[15]
[16]	Fleischer J W, Segev M, Efremidis N K, Christodoulides D N 2003 Nature 422 147
[17]	Ye F, Mihalache D, Hu B 2009 Phys. Rev. A 79 053852
[18]
[19]	Jin X, Shui M, Wang Y X, Li C W, Yang J Y, Zhang X R, Yang K, Song Y L 2010 Chin. Phys. B 19 074203
[20]
[21]	Dholakia K, Čižmár T 2011 Nat. Photonics 5 335
[22]
[23]	Zheng J, Yao B, Yang Y, Lei M, Gao P, Li R, Ye T 2013 Chin. Opt. Lett. 11 112601
[24]
[25]	Kollarova V, Medrik T, Celechovsky R, Bouchal Z, Wilfert O, Kolka Z 2007 Unmanned/Unattended Sensors and Sensor Networks IV Florence, Italy, September 17, 2007 p67361C
[26]
[27]
[28]	Chávez-Cerda S, Padgett M, Allison I, New G, Gutiérrez-Vega J C, O'Neil A, MacVicar I, Courtial J 2002 J. Opt. B: Quantum Semiclass. Opt. 4 S52
[29]	Alvarez-Elizondo M B, Rodriguez-Masegosa R, Gutierrez-Vega J C 2008 Opt Exp. 16 18770
[30]
[31]
[32]	Gutierrez-Vega J C, Iturbe-Castillo M D, Ramirez G A, Tepichin E, Rodriguez-Dagnino R M, Chavez-Cerda S, New G H C 2001 Opt. Commun. 195 35
[33]	Salo J, Fagerholm J, Friberg A T, Salomaa M 2000 Phys. Rev. E 62 4261
[34]
[35]	Belafhal A, Hricha Z 2004 Phys. Chem. News 16 33
[36]
[37]	Cheng Z M, Wu F T, Fan D D, Fang X 2012 Scientia Sininca Physica, Mechanica & Astronomica 42 805 (in Chinese) [程治明, 吴逢铁, 范丹丹, 方翔 2012 中国科学: 42 805]
[38]
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[40]	Zheng W T, Wu F T, Zhang Q A, Cheng Z M 2012 Acta Phys. Sin. 61 144201 (in Chinese) [郑维涛, 吴逢铁, 张前安, 程治明 2012 61 144201]
[41]
[42]	Arlt J, Dholakia K 2000 Optics Commun. 177 297
[43]
[44]	Sun Q G, Zhou K Y, Fang Y G, Liu Z J, Liu S T 2012 Chin. Phys. B 21 014208
[45]
[46]	Chen G M, Hua L M, Lin H C, Pu J X 2011 Chin. Phys. B 20 094203
[47]	Jaroszewicz Z, Burvall A, Friberg A T 2005 Optics and Photonics News 16 34
[48]
[49]	Wu F, Chen Y, Guo D 2007 Appl. Opt. 46 4943
[50]
[51]
[52]	Fang X, Chen J, Wu F T, Cheng Z M, Zhu J Q 2013 Acta Optica Sinica 33 508002 (in Chinese) [方翔, 陈婧, 吴逢铁, 程治明, 朱健强 2013 光学学报 33 508002]
[53]	Chafiq A, Hricha Z, Belafhal A 2006 Opt. Commun. 265 594

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Vol. 63, Issue 15 - 2014-08-05

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