Orbital angular momentum density and spiral spectra of Lorentz-Gauss vortex beams passing through a single slit

doi:10.1088/1674-1056/26/9/094202

中国物理B ›› 2017, Vol. 26 ›› Issue (9): 94202-094202.doi: 10.1088/1674-1056/26/9/094202

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Orbital angular momentum density and spiral spectra of Lorentz-Gauss vortex beams passing through a single slit

Zhi-Yue Ji(季志跃), Guo-Quan Zhou(周国泉)

School of Sciences, Zhejiang A & F University, Lin'an 311300, China

收稿日期:2017-03-24 修回日期:2017-04-19 出版日期:2017-09-05 发布日期:2017-09-05
通讯作者: Guo-Quan Zhou E-mail:zhouguoquan178@sohu.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11574272) and Zhejiang Provincial Natural Science Foundation of China (Grant No. LY16A040014).

Orbital angular momentum density and spiral spectra of Lorentz-Gauss vortex beams passing through a single slit

Zhi-Yue Ji(季志跃), Guo-Quan Zhou(周国泉)

School of Sciences, Zhejiang A & F University, Lin'an 311300, China

Received:2017-03-24 Revised:2017-04-19 Online:2017-09-05 Published:2017-09-05
Contact: Guo-Quan Zhou E-mail:zhouguoquan178@sohu.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11574272) and Zhejiang Provincial Natural Science Foundation of China (Grant No. LY16A040014).

摘要/Abstract

摘要：

Based on the Hermite-Gaussian expansion of the Lorentz distribution and the complex Gaussian expansion of the aperture function, an analytical expression of the Lorentz-Gauss vortex beam with one topological charge passing through a single slit is derived. By using the obtained analytical expressions, the properties of the Lorentz-Gauss vortex beam passing through a single slit are numerically demonstrated. According to the intensity distribution or the phase distribution of the Lorentz-Gauss vortex beam, one can judge whether the topological charge is positive or negative. The effects of the topological charge and three beam parameters on the orbital angular momentum density as well as the spiral spectra are systematically investigated respectively. The optimal choice for measuring the topological charge of the diffracted Lorentz-Gauss vortex beam is to make the single slit width wider than the waist of the Gaussian part.

关键词: Lorentz-Gauss vortex beam, single slit, orbital angular momentum density, topological charge

Abstract:

Key words: Lorentz-Gauss vortex beam, single slit, orbital angular momentum density, topological charge

中图分类号: (Diffraction and scattering)

42.25.Fx

42.50.Tx (Optical angular momentum and its quantum aspects) 42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation) 42.79.Ag (Apertures, collimators)

季志跃, 周国泉. Orbital angular momentum density and spiral spectra of Lorentz-Gauss vortex beams passing through a single slit[J]. 中国物理B, 2017, 26(9): 94202-094202.

Zhi-Yue Ji(季志跃), Guo-Quan Zhou(周国泉). Orbital angular momentum density and spiral spectra of Lorentz-Gauss vortex beams passing through a single slit[J]. Chin. Phys. B, 2017, 26(9): 94202-094202.

参考文献 45

[1]	Dumke P 1975 J. Quantum Electron. 11 400
[2]	Gawhary O E and Severini S 2006 J. Opt. A: Pure Appl. Opt. 8 409
[3]	Zhou G Q and Chu X X 2010 Opt. Laser Technol. 42 1093
[4]	Zhou G Q 2009 Opt. Laser Technol. 41 953
[5]	Naqwi A and Durst F 1990 Appl. Opt. 29 1780
[6]	Yang J, Chen T T, Ding G L and Yuan X 2008 Proc. SPIE 6824 68240A
[7]	Zhou G Q 2010 Chin. Phys. B 19 064201
[8]	Zhou G Q 2011 Chin. Phys. B 20 0114103
[9]	Zhou G Q 2009 Appl. Phys. B 96 149
[10]	Zhou G Q 2008 J. Opt. Soc. Am. A 25 2594
[11]	Torre A 2012 Appl. Phys. B 109 671
[12]	Saraswathi R C, Prabakaran K, Rajesh K B and Jaroszewicz Z 2014 Optik 125 5339
[13]	Jiang Y F, Huang K K and Lu X H 2011 Opt. Express 19 9708
[14]	Zhou G Q 2009 Acta Phys. Sin. 58 6185 (in Chinese)
[15]	Zhou G Q and Chu X X 2010 Opt. Express 18 726
[16]	Zhao C L and Cai Y J 2010 J. Mod. Opt. 57 375
[17]	Wang X, Liu Z R and Zhao D M 2014 J. Opt. Soc. Am. A 31 872
[18]	Zheng H P, Chen R P and Ooi C H R 2013 Lasers Eng. 24 345
[19]	Keshavarz A and Honarasa G 2014 Commun. Theor. Phys. 61 241
[20]	Zhou G Q 2014 J. Opt. Soc. Am. A 31 1239
[21]	Rui F, Zhang D W, Ting M, Gao X M and Zhuang S L 2013 Optik 124 2969
[22]	Miao Y, Wang G X, Zhan Q F, Sui G R, Zhang R F, Lu X M and Gao X M 2017 Optik 128 201
[23]	Qu Q L, Lu X M, Peng J and Su W X 2017 Optik 129 50
[24]	Zeng X Y, Miao Y, Wang G X, Zhan Q F, Hong R J and Zhang R F 2017 Optik 130 481
[25]	Torre A 2016 Appl. Phys. B 122 55
[26]	Ni Y Z and Zhou G 2013 Opt. Commun. 291 19
[27]	Ni Y Z and Zhou G 2012 Appl. Phys. B 108 883
[28]	Zhou G Q and Ru G Y 2013 PIER 143 143
[29]	Zhou G Q, Ji Z Y and Ru G Y 2016 Laser Phys. 26 075002
[30]	Sztul H I and Alfano R R 2006 Opt. Lett. 31 999
[31]	Guo C S, Yue S J and Wei G X 2009 Appl. Phys. Lett. 94 231104
[32]	Tao H, Liu Y X, Chen Z Y and Pu J X 2012 Appl. Phys. B 106 927
[33]	Liu Y X, Sun S H, Pu J X and Lü B D 2013 Opt. Laser Technol. 45 473
[34]	Lyubomir S, Suzana T, Ivan S, Ljiljana J and Alexander D 2015 Opt. Commun. 350 301
[35]	Collins S A 1970 J. Opt. Soc. Am. 60 1168
[36]	Schmidt P P 1976 J. Phys. B: At. Mol. Opt. Phys. 9 2331
[37]	Wen J J and Breazeale M A 1990 Computational Acoustics (Lee D, Cakmak A and Vichnevetsky R, Ed.) (New York: Elsevier)
[38]	Gradshteyn I S and Ryzhik I M 1980 Table of Integrals, Series, and Products (New York: Academic Press)
[39]	Gao C Q, Wei G H and Webe H 2000 Sci. China Ser. A-Math. 43 1306
[40]	Torner L and Torres J P 2005 Opt. Express 13 873
[41]	Ni Y Z and Zhou G Q 2015 Lasers in Eng. 30 73
[42]	Zhou G Q and Ru G Y 2015 Lasers in Eng. 30 159
[43]	Zhou G Q and Ru G Y 2013 PIER 141 751
[44]	Wang L, Zhao S M, Gong L Y and Cheng W W 2015 Chin. Phys. B 24 120307
[45]	Zou L, Wang L, Zhao S M and Chen H W 2016 Chin. Phys. B 25 114215

Orbital angular momentum density and spiral spectra of Lorentz-Gauss vortex beams passing through a single slit

Orbital angular momentum density and spiral spectra of Lorentz-Gauss vortex beams passing through a single slit

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