Wang Taofen, Su Qin, Zhu Jie
School of Physics, Hunan University of Science and Technology, Xiangtan, 411201, China.
College of Science, Guizhou Institute of Technology, Guiyang, 550003, China.
Heliyon. 2024 Aug 28;10(17):e37016. doi: 10.1016/j.heliyon.2024.e37016. eCollection 2024 Sep 15.
A model of the generalized dark hollow sine-Gaussian beam (GDHsGB) is proposed to uniformly describe both conventional dark hollow beams (DHBs) and anomalous dark hollow beams (ADHBs) with circular or elliptic geometrical patterns. Using the Collins formula, we derive the analytical expression for GDHsGBs propagating in ABCD paraxial optical systems. We analyze the evolution of the intensity pattern and beam width of circular ADHBs, as well as the ellipticity of elliptic ADHBs, providing mathematical expressions for these physical quantities. The results reveal various evolution forms based on beam parameters, with elliptic ADHBs exhibiting more intricate propagation behavior compared to circular ADHBs. By controlling parameters, the intensity pattern of elliptic ADHBs undergoes a transformation into a petal-like distribution in the near field, later reverting to its original elliptic configuration but rotated 90° from its initial orientation on the source plane in the far field.
提出了一种广义暗空心正弦高斯光束（GDHsGB）模型，以统一描述具有圆形或椭圆形几何图案的传统暗空心光束（DHBs）和反常暗空心光束（ADHBs）。利用柯林斯公式，我们推导了GDHsGBs在ABCD近轴光学系统中传播的解析表达式。我们分析了圆形ADHBs的强度分布和光束宽度的演变，以及椭圆形ADHBs的椭圆率，给出了这些物理量的数学表达式。结果揭示了基于光束参数的各种演变形式，椭圆形ADHBs比圆形ADHBs表现出更复杂的传播行为。通过控制参数，椭圆形ADHBs的强度分布在近场转变为花瓣状分布，随后在远场恢复到其原始椭圆构型，但相对于源平面上的初始方向旋转了90°。
