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Dynamic evolution of Riemann-Silberstein vortices for Gaussian vortex beams

Dynamic evolution of Riemann-Silberstein vortices for Gaussian vortex beams,10.1016/j.optcom.2011.10.099,Optics Communications,Xiaoxu Lian,Chunsheng D

Dynamic evolution of Riemann-Silberstein vortices for Gaussian vortex beams  
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The dynamic evolution of Riemann-Silberstein (RS) vortices for Gaussian vortex beams with topological charges m=±1 in free space is studied. It is shown that for Gaussian on-axis vortex beams there exist both RS vortex with m=+2 and circular edge dislocation. For Gaussian off-axis vortex beams the circular edge dislocation splits into two RS vortices with opposite topological charges m=±1 and the RS vortex with m=+2 decays into two vortices with same topological charges m=+1. The motion of RS vortices takes place by varying the propagation distance, waist width, off-axis parameter, or topological charge. RS vortices for Gaussian vortex-free beams can be treated as a special case. The results are illustrated analytically and numerically.
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