Interaction of two edge dislocations in free-space propagation

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

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.

Keywords: edge dislocation interaction optical vortex free-space propagation

Received: 21 December 2009
Revised: 09 June 2010
Accepted manuscript online:

PACS:	42.25.-p	(Wave optics)
	42.25.Bs	(Wave propagation, transmission and absorption)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10874125).

Cite this article:

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 2011 Chin. Phys. B 20 014201

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