Half-plane diffraction of Gaussian beams carrying two vortices of equal charges

doi:10.1088/1674-1056/20/10/104201

中国物理B ›› 2011, Vol. 20 ›› Issue (10): 104201-104201.doi: 10.1088/1674-1056/20/10/104201

Half-plane diffraction of Gaussian beams carrying two vortices of equal charges

何德³, 吕百达¹, 高曾辉²

(1)Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China; (2)Key Laboratory of Computational Physics of Sichuan Province, Yibin University, Yibin 644000, China; (3)Key Laboratory of Computational Physics of Sichuan Province, Yibin University, Yibin 644000, China; Department of Physical Science and Electronic Engineering, Yibin University, Yibin 644000, China

收稿日期:2011-02-25 修回日期:2011-04-29 出版日期:2011-10-15 发布日期:2011-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10874125) and the Foundation of Education Department of Sichuan Province of China (Grant No. 10ZA063).

Half-plane diffraction of Gaussian beams carrying two vortices of equal charges

He De(何德)^a)b),Gao Zeng-Hui(高曾辉)^a)†, and Lü Bai-Da(吕百达)^c)

^a Key Laboratory of Computational Physics of Sichuan Province, Yibin University, Yibin 644000, China; ^b Department of Physical Science and Electronic Engineering, Yibin University, Yibin 644000, China; ^c Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

Received:2011-02-25 Revised:2011-04-29 Online:2011-10-15 Published:2011-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10874125) and the Foundation of Education Department of Sichuan Province of China (Grant No. 10ZA063).

摘要/Abstract

摘要： This paper derives explicit expressions for the propagation of Gaussian beams carrying two vortices of equal charges m=±1 diffracted at a half-plane screen, which enables the study of the dynamic evolution of vortices in the diffraction field. It shows that there may be no vortices, a pair or several pairs of vortices of opposite charges m=+1, -1 in the diffraction field. Pair creation, annihilation and motion of vortices may appear upon propagation. The off-axis distance additionally affects the evolutionary behaviour. In the process the total topological charge is equal to zero, which is unequal to that of the vortex beam at the source plane. A comparison with the free-space propagation of two vortices of equal charges and a further extension are made.

关键词: two vortices of equal charges, diffraction at a half-plane screen, dynamic evolution

Abstract: This paper derives explicit expressions for the propagation of Gaussian beams carrying two vortices of equal charges m=±1 diffracted at a half-plane screen, which enables the study of the dynamic evolution of vortices in the diffraction field. It shows that there may be no vortices, a pair or several pairs of vortices of opposite charges m=+1, -1 in the diffraction field. Pair creation, annihilation and motion of vortices may appear upon propagation. The off-axis distance additionally affects the evolutionary behaviour. In the process the total topological charge is equal to zero, which is unequal to that of the vortex beam at the source plane. A comparison with the free-space propagation of two vortices of equal charges and a further extension are made.

Key words: two vortices of equal charges, diffraction at a half-plane screen, dynamic evolution

中图分类号: (Wave optics)

42.25.-p

42.25.Bs (Wave propagation, transmission and absorption)

何德, 高曾辉, 吕百达. Half-plane diffraction of Gaussian beams carrying two vortices of equal charges[J]. 中国物理B, 2011, 20(10): 104201-104201.

He De(何德), Gao Zeng-Hui(高曾辉), and Lü Bai-Da(吕百达) . Half-plane diffraction of Gaussian beams carrying two vortices of equal charges[J]. Chin. Phys. B, 2011, 20(10): 104201-104201.

参考文献 19

[1]	Soskin M S and Vasnetsov M V 2001 Prog. Opt. 42 219
[2]	Molina-Terriza G, Recolons J, Torres J P, Torner L and Wright E M 2001 Phys. Rev. Lett. 87 023902-1
[3]	Schwarz U T, Sogomonian S and Maier M 2002 Opt. Commun. 208 255
[4]	Orlov S, Regelskis K, Smilgevicius V and Stabinis A 2004 J. Opt. A: Pure Appl. Opt. 6 255
[5]	Dong L W, Ye F W, Wang J D and Li Y P 2004 Acta Phys. Sin. 53 3353 (in Chinese)
[6]	Wang L, Wang Q F, Wang X Q and Lü B D 2007 Acta Phys. Sin. 56 201 (in Chinese)
[7]	Cheng K, Liu P S and Lü B D 2008 Chin. Phys. B 17 1743
[8]	Indebetouw G 1993 J. Mod. Opt. 40 73
[9]	Freund I 1999 Opt. Commun. 163 230
[10]	Karman G P, Beijersbergen M W, van Duijl A and Woerdman J P 1997 Opt. Lett. 22 1503
[11]	Karman G P, Beijersbergen M W, Duijl A, van Bouwmeester D and Woerdman J P 1998 J. Opt. Soc. Am. A 15 884
[12]	Masajada J 2000 Opt. Commun. 175 289
[13]	Masajada J 2001 Proc. SPIE 4356 178
[14]	Vasnetsov M V, Marienko I G and Soskin M S 2000 JEPT Lett. 71 130
[15]	Liu P S and Lü B D 2008 Opt. Laser Tech. 40 227
[16]	Luo Y M and Lü B D 2009 J. Opt. Soc. Am. A 26 1961
[17]	Gradshteyn I S and Ryzhik I M 1980 Table of Integrals, Series, and Products, (New York: Academic Press) p. 337
[18]	Freund I and Shvartsman N 1994 Phys. Rev. A 50 5164
[19]	Cheng K and Lü B D 2009 J. Mod. Opt. 56 1119

Half-plane diffraction of Gaussian beams carrying two vortices of equal charges

Half-plane diffraction of Gaussian beams carrying two vortices of equal charges

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 19

相关文章 3

Metrics

本文评价

推荐阅读 0

[1]	陈建芮, 洪志敏, 汪丽娜, 乌兰. Dynamic evolutionary community detection algorithms based on the modularity matrix[J]. , 2014, 23(11): 118903-118903.
[2]	林振权, 叶高翔. Dynamic aggregation evolution of competitive societies of cooperative and noncooperative agents[J]. 中国物理B, 2013, 22(5): 58201-058201.
[3]	程涛, 李英骏, 孟立民, 袁素英, 张杰. 2D parameter optimization of Ne-like Cr x-ray laser on slab[J]. 中国物理B, 2009, 18(1): 203-208.