光学学报, 2018, 38 (10): 1005002, 网络出版: 2019-05-09
正六边形多孔阵列的涡旋光衍射 
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Diffraction of Vortex Beam by Regular Hexagonal Multi-Hole Array
图 & 表
图 1. 正六边形多孔阵列示意图及其对具有不同拓扑荷数的LG光束的影响。(a)示意图;(b) l=1; (c) l=2; (d) l=3; (e) l=4; (f) l=5; (g) l=6
Fig. 1. Schematic of regular hexagonal multi-hole array and its effect on LG beams with different topological charge numbers. (a) Diagram; (b) l=1; (c) l=2; (d) l=3; (e) l=4; (f) l=5; (g) l=6
图 2. 具有不同拓扑荷数l的高阶涡旋光的衍射光场。(a) l=7; (b) l=8; (c) l=9
Fig. 2. Diffraction fields of high order vortex beams with different topological charge numbers l . (a) l=7; (b) l=8; (c) l=9
图 3. 不同拓扑荷数衍射光场的灰度直方图及巴氏距离。(a) l=1;(b) l=7;(c)巴氏距离的变化曲线
Fig. 3. Gray histograms of diffraction fields with different topological charge numbers l and Bhattacharyya distances. (a) l=1;(b) l=7;(c) curves of Bhattacharyya distance
图 4. 不同拓扑荷数下衍射光场的横向光强分布及L0和L1。(a) 光强,l=1,k=0; (b) 光强,l=13,k=2; (c) 光强,l=25,k=4; (d) 光强,l=5,k=0; (e) 光强,l=17,k=2; (f) L0和L1, l=6k+1;(g) L0和L1,l=6k+5
Fig. 4. Transverse intensity distributions of diffraction fields and L0 and L1 under different topological charge numbers.(a) Light intensity, l=1,k=0; (b) light intensity, l=13,k=2; (c) light intensity, l=25,k=4; (d) light intensity, l=5,k=0; (e) light intensity, l=17,k=2; (f) L0 and L1, l=6k+1; (g) L0 and L1, l=6k+5
图 5. 不同r0下衍射场的横向光强分布及w1/2与r0间的关系。(a)r0=50 μm; (b)r0=100 μm; (c)r0=150 μm; (d) w1/2与r0的关系
Fig. 5. Transverse intensity distributions of diffraction fields under different r0 and relationship between w1/2 and r0.(a)r0=50 μm; (b)r0=100 μm; (c)r0=150 μm; (d) relationship between w1/2 and r0
图 6. 不同r下衍射场的横向光强分布及条纹宽度和密度与六边形边长间的关系。(a)r=0.4 mm; (b)r=0.6 mm; (c)r=0.8 mm; (d)关系曲线
Fig. 6. Transverse intensity distributions of diffraction fields under different r and relationship of fringe width and density with side length of regular hexagon. (a) r=0.4 mm; (b)r=0.6 mm; (c)r=0.8 mm; (d) relationship curves
图 7. 涡旋光衍射实验。(a)示意图;(b)实物图
Fig. 7. Diffraction experiment of vortex beam. (a) Diagram; (b) physical map
图 8. 叉型光栅。(a)示意图;(b)l=1和(c) l=2时的衍射图
Fig. 8. Fork grating. (a) Schematic; diffraction diagrams when (b) l=1 and (c) l=2
李润泉, 王智, 崔粲, 王慧莹, 李颖. 正六边形多孔阵列的涡旋光衍射[J]. 光学学报, 2018, 38(10): 1005002. Runquan Li, Zhi Wang, Can Cui, Huiying Wang, Ying Li. Diffraction of Vortex Beam by Regular Hexagonal Multi-Hole Array[J]. Acta Optica Sinica, 2018, 38(10): 1005002.
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