On the Burgers vector of a wave dislocation

Mark R Dennis
2009 Journal of Optics. A, Pure and applied optics  
Following Nye and Berry's analogy with crystal dislocations, an approach to the Burgers vector of a wave dislocation (phase singularity, optical vortex) is proposed. It is defined to be a regularized phase gradient evaluated at the phase singularity, and is computed explicitly. The screw component of this vector is naturally related to the helicoidal twisting of wavefronts along a vortex line, and is related to the helicity of the phase gradient. The edge component is related to the nearby
more » ... nt flow (defined by the phase gradient) perpendicular to the vortex, and the distribution of this component is found numerically for random two-dimensional monochromatic waves.
doi:10.1088/1464-4258/11/9/094002 fatcat:f4g7uiwkfvbdnibt6tbgnnrdji