The Effect of the Spin Angular Momentum on the Tight‐Focusing Vortex Hollow Gaussian Beams,Annalen Der Physik

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The Effect of the Spin Angular Momentum on the Tight‐Focusing Vortex Hollow Gaussian Beams
Annalen Der Physik ( IF 2.2 ) Pub Date : 2020-03-08 , DOI: 10.1002/andp.201900548
Feng Ye _{1,

2} , Jiawei Zou ₃ , Dongmei Deng ₁

Affiliation

The propagation properties of a hollow Gaussian beam (HGB) carrying on‐axis and off‐axis vortices through a high numerical aperture lens are investigated. The intensity of the focused beam in the focal plane can be controlled by choosing the different topological charges, the beam order, and the semi‐aperture angle. As intrinsic properties, vortex beams possess both spin and orbital angular momenta. The spin angular momenta (SAM) density can be treated as a vector in 3D since it exists in arbitrary orientation during the beam propagation. The vectors of SAM density orientation of the focused beam in 3D rotate around the central axis whose locations mainly rely on the vortices. The magnitude of the SAM density near the focus plane abruptly varies by altering the focal length of the lens. Under tightly focusing condition, two new pairs of vortices generate alternately on x and y axes in the vectorial electric fields, while the topological charges increase by one.

中文翻译：

自旋角动量对紧聚焦涡旋空心高斯光束的影响

研究了空心高斯光束（HGB）通过高数值孔径透镜在轴上和轴外的涡流的传播特性。聚焦平面中聚焦光束的强度可以通过选择不同的拓扑电荷，束序和半孔径角来控制。作为内在特性，涡旋光束同时具有自旋角和轨道角动量。自旋角动量（SAM）密度可以视为3D向量，因为它在光束传播过程中以任意方向存在。3D聚焦光束的SAM密度方向的向量围绕中心轴旋转，中心轴的位置主要取决于涡旋。通过改变透镜的焦距，聚焦平面附近的SAM密度大小会突然变化。在紧紧聚焦的情况下向量电场中的x和y轴，而拓扑电荷增加1。

更新日期：2020-03-08

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