ABSTRACT “We report a detailed study of paraxial Laguerre–Gaussian beams with a zero total angular momentum provided by opposite signs of the vortex phase singularity and circular polarization. These beams are characterized by the multi-ring structure. We have calculated analytically the components of the Umov–Poynting vector and the angular momentum density in the focal region. The local integral characteristics associated with the Umov–Poynting vector and angular momentum density are analyzed. The main attention is paid to the characteristics of the Umov–Poynting vector components in separate rings at different values of the radial index of the Laguerre–Gaussian modes. The multi-ring structure can be used to change the trajectory of the translational rotation of the trapped microparticles. We have shown that the ratio of the local integral angular projection of the Umov–Poynting vector to its longitudinal projection is slowly increases at growth of the radial index.

中文翻译：

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具有零总角动量的近轴拉盖尔-高斯涡旋光束的局部特性

摘要 “我们报告了对近轴拉盖尔-高斯光束的详细研究，该光束具有由涡旋相位奇点和圆极化的相反符号提供的零总角动量。这些梁的特点是多环结构。我们已经分析计算了 Umov-Poynting 矢量的分量和焦点区域的角动量密度。分析了与 Umov-Poynting 矢量和角动量密度相关的局部积分特性。主要关注不同拉盖尔-高斯模式径向指数值下不同环中 Umov-Poynting 矢量分量的特征。多环结构可用于改变被困微粒平移旋转的轨迹。