波位错的Burgers矢量
On the Burgers vector of a wave dislocation
摘要：
根据Nye和Berry对晶体位错的类比，提出了一种计算波位错（相位奇异性、光学涡旋）的Burgers矢量的方法。它被定义为一个正则化的相位梯度在相位奇异性的评估，并明确计算。该矢量的螺旋分量自然地与沿涡线的波前的螺旋扭曲有关，并且与相位梯度的螺旋度有关。边缘分量与附近的垂直于涡流的电流（由相位梯度定义）有关，并且对于随机二维单色波，数值上发现该分量的分布。
英文摘要：
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 current 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.
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