异常空心光束通过像散透镜后的相位奇异特性

光场的相位奇异特性是奇点光学研究的重要内容。运用广义惠更斯-菲涅耳衍射积分公式，推导得到异常空心光束通过像散透镜后的光场分布表达式和相位奇点分布表达式，并研究了其在几何焦平面的相位奇异特性。结果表明，异常空心光束通过像散透镜后，在几何焦平面上存在相位奇点，且相位奇点受到透镜的像散系数和光束束腰宽度等参数控制。在一定条件下，几何焦平面上会出现椭圆或圆刃型位错线、光涡旋。当像散系数或束腰宽度改变时，椭圆或圆刃型位错线发生变化，光涡旋也会发生移动、湮灭和产生。

Abstract

The phase singularity in optical field is an important subject in singular optics. Based on the generalized Huygens-Fresnel diffraction integral formula, the field distribution expressions and the phase singularity distribution expressions for anomalous hollow beams through an astigmatic lens are deduced, and used to study the phase singularities at the geometrical focal plane emphatically. The phase singularities may appear at the geometrical focal plane when the anomalous hollow beams pass through an astigmatic lens, and are dependent on the astigmatic coefficient and waist width. Under certain conditions, the ellipse or circular edge dislocations, optical vortices will appear at the geometrical focal plane. By changing the astigmatic coefficient or waist width, the ellipse or circular edge dislocations will vary, and the optical vortices will move, annihilate and appear.

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唐碧华, 郑尚彬, 贺兵, 张勇, 罗亚梅, 高曾辉. 异常空心光束通过像散透镜后的相位奇异特性[J]. 光学学报, 2016, 36(8): 0826001. Tang Bihua, Zheng Shangbin, He Bing, Zhang Yong, Luo Yamei, Gao Zenghui. Phase Singularities of Anomalous Hollow Beams Through an Astigmatic Lens[J]. Acta Optica Sinica, 2016, 36(8): 0826001.

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