Interaction of two edge dislocations in free-space propagation

doi:10.1088/1674-1056/20/1/014201

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 14201-014201.doi: 10.1088/1674-1056/20/1/014201

Interaction of two edge dislocations in free-space propagation

何德³, 高曾辉², 闫红卫¹, 吕百达¹

(1)Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China; (2)Key Laboratory of Computational Physics, Yibin University, Yibin 644000, China; (3)Key Laboratory of Computational Physics, Yibin University, Yibin 644000, China;Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

收稿日期:2009-12-21 修回日期:2010-06-09 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10874125).

Interaction of two edge dislocations in free-space propagation

He De(何德)^a)b)^†,Gao Zeng-Hui(高曾辉)^a),Yan Hong-Wei(闫红卫)^b),and Lü Bai-Da(吕百达)^b)

^a Key Laboratory of Computational Physics, Yibin University, Yibin 644000, China; ^b Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

Received:2009-12-21 Revised:2010-06-09 Online:2011-01-15 Published:2011-01-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10874125).

摘要/Abstract

摘要： This paper studies in detail the interaction of two edge dislocations nested in a Gaussian beam propagating in free space. It shows that in free-space propagation the edge dislocations are unstable and vanish, and two noncanonical vortices with opposite topological charge take place when off-axis distances c₁ and c₂ of two edge dislocations are non-zero, and the condition k²w₀⁸+32c₁c₂(w₀²-2c₁c₂)z²>0 is fulfilled (k-wave number, w₀-waist width). A noncanonical vortex appears when one off-axis distance is zero. However, one edge dislocation is stable when two edge dislocations are perpendicular and one off-axis distance is zero. Two perpendicular edge dislocations both with zero off-axis distance are also stable. The analytical results are illustrated by numerical examples.

关键词: edge dislocation interaction, optical vortex, free-space propagation

Abstract: This paper studies in detail the interaction of two edge dislocations nested in a Gaussian beam propagating in free space. It shows that in free-space propagation the edge dislocations are unstable and vanish, and two noncanonical vortices with opposite topological charge take place when off-axis distances $c_{1}$ and $c_{2}$ of two edge dislocations are non-zero, and the condition $k^{2}w_{0}^{8}+32c_{1}c_{2}(w_{0}^{2}-2c_{1}c_{2})z^{2}>0$ is fulfilled ($k$-wave number, $w_{0}$-waist width). A noncanonical vortex appears when one off-axis distance is zero. However, one edge dislocation is stable when two edge dislocations are perpendicular and one off-axis distance is zero. Two perpendicular edge dislocations both with zero off-axis distance are also stable. The analytical results are illustrated by numerical examples.

Key words: edge dislocation interaction, optical vortex, free-space propagation

中图分类号: (Wave optics)

42.25.-p

42.25.Bs (Wave propagation, transmission and absorption)

何德, 高曾辉, 闫红卫, 吕百达. Interaction of two edge dislocations in free-space propagation[J]. 中国物理B, 2011, 20(1): 14201-014201.

He De(何德), Gao Zeng-Hui(高曾辉), Yan Hong-Wei(闫红卫), and Lü Bai-Da(吕百达) . Interaction of two edge dislocations in free-space propagation[J]. Chin. Phys. B, 2011, 20(1): 14201-014201.

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Interaction of two edge dislocations in free-space propagation

Interaction of two edge dislocations in free-space propagation

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