Interaction between a vortex and an edge dislocation nested in a cos‐Gaussian beam passing through a tilted lens

Abstract

The interaction between a vortex and an edge dislocation nested in a cos‐Gaussian beam passing through a tilted lens was studied analytically and numerically. It is shown that in the presence of the tilted lens, by varying the cos‐part parameter of the beam, the slope of the edge dislocation, or the tilt coefficient of the lens, the topological charge is conserved for the case of the off‐axis edge dislocation, while charge conservation does not hold true for the case of an on‐axis edge dislocation, irrespective of the on‐axis or off‐axis vortex. The relation between the transverse positions (x, y) of vortices and the tilt coefficient is linear, and is interpreted.

Keywords:

• optical phase singularity
• vortex–edge dislocation interaction
• cos‐Gaussian beam
• tilted lens

Acknowledgements

This work was supported by Scientific Fund of Sichuan Provincial Education Department under Grant No. 10Zc031 and Scientific Fund of Yibin University under Grant No. 2010Z07.