标题： 关于波位错的伯格斯矢量 显示英文标题

标题： On the Burgers vector of a wave dislocation

摘要： 根据Nye和Berry对晶体位错的类比，提出了一种波位错（相位奇点，光涡旋）的伯格斯矢量的方法。 它被定义为在相位奇点处计算的正则化相位梯度，并被显式计算。 该矢量的螺旋分量自然与沿涡旋线的波前螺旋扭曲相关，并与相位梯度的螺旋度相关。 边缘分量与垂直于涡旋的附近电流流动（由相位梯度定义）相关，并且该分量的分布对于随机二维单色波进行了数值计算。 显示英文摘要

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.