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Vectorial structures of linear-polarized Butterfly-Gauss vortex beams in the far zone

机译:远区线性偏振蝴蝶 - 高斯涡旋梁的矢量结构

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摘要

By introducing the Butterfly catastrophe to optics, the far-zone vectorial structures of Butterfly-Gauss beam with vortex and non-vortex are studied using the angular spectrum representation and stationary phase method. The influence of topological charge, linear-polarized angle, off-axis distance and scaling length on the far-zone vectorial structures, especially in the Poynting vector and angular momentum density of the corresponding beam is emphasized. The results show that the embedded optical vortex at source plane lead to special dark zones in the far zone, where the number of dark zone equals the absolute value of topological charge of optical vortex. Furthermore, the symmetry and direction of the special dark zones can be controlled by off-axis distance and scaling length, respectively. The linear-polarized angle adjusts only the Poynting vectors of TE and TM terms, but it does not affect those of whole beam. Finally, the vectorial expressions also indicate that the total angular momentum density is certainly zero owing to the far-zone stable structures rather than rotation behaviors.
机译:通过将蝶形灾难引入光学元件,使用角谱表示和固定相法研究了具有涡旋和非涡旋的蝴蝶高斯梁的远区横向结构。强调,拓扑电荷,线性偏振角,脱轴距离和缩放长度的影响,特别是在对应梁的Poynting载体和角动量密度中。结果表明,源平面的嵌入式光学涡旋导致远区的特殊暗区,其中暗区的数量等于光学涡流的拓扑电荷的绝对值。此外,特殊暗区的对称性和方向可以分别由轴距离和缩放长度控制。线性偏振角仅调整TE和TM术语的Poynting vector,但它不会影响整个梁的乘积。最后,由于远区稳定的结构而不是旋转行为,矢量表达还表明总角动量密度肯定为零。

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