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离轴超构透镜设计与特性分析

胡金高娃 赵尚男 王灵杰 叶昊坤 张建萍 张新

胡金高娃, 赵尚男, 王灵杰, 叶昊坤, 张建萍, 张新. 离轴超构透镜设计与特性分析[J]. 中国光学(中英文), 2024, 17(1): 52-60. doi: 10.37188/CO.2023-0039
引用本文: 胡金高娃, 赵尚男, 王灵杰, 叶昊坤, 张建萍, 张新. 离轴超构透镜设计与特性分析[J]. 中国光学(中英文), 2024, 17(1): 52-60. doi: 10.37188/CO.2023-0039
HU Jin-gao-wa, ZHAO Shang-nan, WANG Ling-jie, YE Hao-kun, ZHANG Jian-ping, ZHANG Xin. Design and characteristic analysis of off-axis meta-lens[J]. Chinese Optics, 2024, 17(1): 52-60. doi: 10.37188/CO.2023-0039
Citation: HU Jin-gao-wa, ZHAO Shang-nan, WANG Ling-jie, YE Hao-kun, ZHANG Jian-ping, ZHANG Xin. Design and characteristic analysis of off-axis meta-lens[J]. Chinese Optics, 2024, 17(1): 52-60. doi: 10.37188/CO.2023-0039

离轴超构透镜设计与特性分析

doi: 10.37188/CO.2023-0039
基金项目: 国家自然科学基金项目(No. 62005271)
详细信息
    作者简介:

    胡金高娃(1999—),女,吉林长春人,硕士研究生,2021年于南京邮电大学获得学士学位,主要从事超构表面设计、光学设计仿真研究。E-mail:hjgw0617@163.com

    赵尚男(1993—),女,吉林长春人,博士研究生,2015年和2018年于北京理工大学分别获得学士学位和硕士学位,主要从事光学设计仿真、超构表面设计的研究。E-mail:18810575846@163.com

  • 中图分类号: O436.1;TH74

Design and characteristic analysis of off-axis meta-lens

Funds: Supported by the National Natural Science Foundation of China (No. 62005271)
More Information
  • 摘要:

    本文提出了一种离轴超构透镜的设计方法,并分析了不同数值孔径、离轴角度等参数对于离轴超构透镜的光谱分辨率、聚焦效率以及仿真结果的影响。利用Lumerical软件分别仿真了参数为NA=0.408、 α=13°;NA=0.180、α=13°及NA=0.408 α=20°等多个离轴超构透镜。仿真结果表明:离轴角度与光谱分辨率大小成正相关,离轴角度越大,光谱分辨能力越强,但聚焦效率越低;数值孔径越小,相位分布的覆盖范围越小,会导致仿真聚焦位置与理论值偏差变大。设计者需要根据需求合理平衡数值孔径、离轴角度等参数,最终实现理想效果。本文得出的结论对离轴超构透镜的理论分析和实际应用中的参数设计具有重要参考价值。

     

  • 图 1  离轴超构透镜聚焦示意图

    Figure 1.  Diagram of focusing an off-axis meta-lens

    图 2  离轴超构透镜设计流程图

    Figure 2.  Design flowchart of off-axis mate-lens

    图 3  不同半径单元结构对应的相位分布

    Figure 3.  Phase distribution corresponding to unit structure with different radii

    图 4  离轴超构透镜的(a)单元结构仿真示意图 及(b)仿真结构图

    Figure 4.  (a) Schematic diagram of unit structure simulation and (b) simulated structure diagram of off-axis mate-lens

    图 5  离轴超构透镜的Lumerical仿真结果图

    Figure 5.  Simulation results of off-axis mate-lens by Lumerical

    图 6  D=30 μm,α=13°,λ0=1.550 μm,f=32.986 μm时的相位分布与仿真结果图

    Figure 6.  Phase distributions and simulation results for D=30 μm, α=13°, λ0=1.550 μm, f=32.986 μm

    图 7  D=30 μm,α=13°,λ0=1.550 μm,f=80 μm时的相位分布与仿真结果图

    Figure 7.  Phase distribution and simulation results for D=30 μm, α=13°, λ0=1.550 μm, f=80 μm

    图 8  $ |\Delta \vec{r}| $示意图

    Figure 8.  Schematic diagram of $ |\Delta \vec{r}| $

    图 9  不同α的离轴超构透镜相位分布图

    Figure 9.  Phase distributions of off-axis meta-lens with different α

    图 10  α=13°,不同λ入射时离轴超构透镜沿Z轴的光强分布图

    Figure 10.  The intensity distributions of the off-axis meta-lens along Z axis with different incident wavelengths when α=13°

    图 11  α=20°,不同λ入射时离轴超构透镜沿Z轴光强分布图

    Figure 11.  Intensity distribution of the off-axis meta-lens along Z axis with different incident wavelengths when α=20°

    图 12  NA=0.408时,不同离轴角度对应的聚焦效率曲线图

    Figure 12.  Curve of focusing efficiency corresponding to different off axis angles at NA=0.408

    表  1  离轴超构透镜设计参数

    Table  1.   Designed parameters of off-axis meta-lens

    参数数值
    设计波长/μm1.550
    焦距/μm32.986
    离轴角度/(°)13
    数值孔径0.408
    下载: 导出CSV

    表  2  不同NA(不同焦距f)的离轴超构透镜理论计算与仿真聚焦位置对比

    Table  2.   Comparison of the focusing positions of off-axis meta-lens with different NA and different focal lengths obtained by theoretical calculation and simulation (Unit: μm)

    NA理论聚焦位置x-z仿真聚焦位置x-z相对偏差δx-δz
    0.408(7.420, 32.141)(7.100, 31.200)(0.320, 0.941)
    0.180(17.996, 77.950)(14, 62)(3.996, 15.950)
    下载: 导出CSV

    表  3  不同NA(不同离轴角度d)的离轴超构透镜理论计算与仿真聚焦位置对比

    Table  3.   Comparison of the focusing positions of off-axis meta-lens with different NA and different off-axis angles obtained by theoretical calculation and simulation (Unit: μm)

    NA理论聚焦位置x-z仿真聚焦位置x-z相对偏差δx-δz
    0.388(14.975,29.391)(14.322,28.416)(0.653,0.975)
    0.371(18.446,27.347)(17.638,26.300)(0.808,1.047)
    下载: 导出CSV

    表  4  离轴角度α=13°时不同工作波长对应的聚焦效率

    Table  4.   Focusing efficiencies at different working wavelength at the off-axis angle α=13°

    工作波长 λ(μm)聚焦效率
    1.55059.14%
    2.02229.32%
    2.80018.42%
    3.00017.65%
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-03-07
  • 修回日期:  2023-04-04
  • 网络出版日期:  2023-07-13

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