单元件干涉数字全息的光线追迹模型

解翔宇; 王鹏; 邓颖; 周凯南; 冯国英

doi:10.11884/HPLPB202335.220396

单元件干涉数字全息的光线追迹模型

doi: 10.11884/HPLPB202335.220396

解翔宇^1,,
王鹏¹,
邓颖²,
周凯南²,
冯国英^1, ,

1.
四川大学电子信息学院激光微纳工程研究所，成都 610065
2.
中国工程物理研究院激光聚变研究中心，四川绵阳 621900

基金项目: 国家重点研发计划项目 ( 2022YFB3606304)；国家自然科学基金项目 (U2230129)

详细信息

作者简介:
解翔宇，xiexiangyu@stu.scu.edu.cn

通讯作者:
冯国英， guoing_feng@scu.edu.cn

中图分类号: TB87.1
计量
- 文章访问数: 447
- HTML全文浏览量: 161
- PDF下载量: 59
- 被引次数: 0
出版历程
- 收稿日期: 2022-11-02
- 修回日期: 2023-03-02
- 网络出版日期: 2023-03-14
- 刊出日期: 2023-04-07

Ray tracing model of digital holography with single element interference

1.
Institute of Laser and Micro/Nano Engineering, College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China
2.
Laser Fusion Research Center, CAEP, Mianyang 621900, China

摘要

摘要: 基于棱镜对的单元件干涉可以获得透射物体的相位信息，即数字全息，具有结构紧凑、干涉条纹稳定、测量精度高等优点。采用光线追迹方法，综合考虑了棱镜对的方位角旋转、斜面偏心等参数，建立了光线追迹等效模型，仿真了数字全息干涉条纹，给出了条纹密度变化及倾斜的解析表达式。针对单模和多模光纤等微结构光学元件，获得了干涉数字全息图，并反演出其折射率分布。搭建了显微成像单元件干涉实验装置，获得了实际测量干涉图样，实验与仿真结果一致，证明了本模型的有效性。
- 光线追迹 /
- 单元件干涉 /
- 数字全息 /
- 单模和多模光纤折射率分布
Abstract: The phase information of the transmitted object, also known as digital holography, can be obtained by the element interference based on prism pair. This method has the advantages of compact structure, stable interference fringe and high measurement accuracy. In this paper, the ray tracing method is used to establish the equivalent model of ray tracing, considering the azimuth rotation of the prism pair and the eccentricity of the inclined plane. The equivalent model is used to simulate the digital holographic interference fringes, and give the analytic expressions of fringe density change and tilt. The interference digital holograms are obtained and the refractive index distribution is inversed for the micro structure optical elements such as single-mode and multimode fibers. The experimental device of micro imaging unit interference is built, and the actual measurement interference pattern is obtained. The experimental results are consistent with the simulation results, which proves the effectiveness of this model.
- ray tracing /
- single element interference /
- digital holography /
- refractive index distribution of single-mode and multi-mode fibers

HTML全文

图 1 单元件干涉仪工作原理分析

Figure 1. Working principle analysis of single-unit interferometer

下载: 全尺寸图片幻灯片

图 2 干涉元件分析图

Figure 2. Analysis diagram of interference element

下载: 全尺寸图片幻灯片

图 3 干涉元件旋转角度 $\theta $ -条纹宽度 $w$ 函数曲线，及 $\theta $ 分别为0.02°、0.05°及0.10°时的干涉条纹及光强拟合曲线

Figure 3. Function curve of interference element rotation angle $\theta $ - fringe width $w$ , and interference fringe and light intensity fitting curve at $\theta $ is 0.02°, 0.05° and 0.10° respectively

下载: 全尺寸图片幻灯片

图 4 实验及仿真中因干涉元件偏心误差导致的对称倾斜条纹图像

Figure 4. Symmetrical oblique fringe images caused by interference element eccentricity error in experiment and simulation

下载: 全尺寸图片幻灯片

图 5 光纤数字全息光路模型及实验装置示意图

Figure 5. Schematic diagram of optical fiber digital holographic optical path model and experimental device

下载: 全尺寸图片幻灯片

图 6 不同折射率匹配液条件下，单模光纤及多模光纤的光线追迹数字全息图及折射率分布三维重建

Figure 6. Under different refractive index matching liquid conditions, the ray tracing digital hologram and 3D-reconstruction of refractive index distribution of single-mode fiber and multimode fiber

下载: 全尺寸图片幻灯片

图 7 待测单模光纤和多模光纤的显微剖面图、干涉条纹图及折射率重建图

Figure 7. Micrograph, interference fringe pattern and refraction index reconstruction of SMF and MMF to be measured

下载: 全尺寸图片幻灯片

参考文献(19)

[1]	Huang D, Swanson E A, Lin C P, et al. Optical coherence tomography[J]. Science, 1991, 254(5035): 1178-1181. doi: 10.1126/science.1957169
[2]	Fercher A F, Hitzenberger C K, Kamp G, et al. Measurement of intraocular distances by backscattering spectral interferometry[J]. Optics Communications, 1995, 117(1/2): 43-48.
[3]	孙伟文, 王帅军, 刘凯. 用于实时三维成像的双频结构光编解码方法[J]. 强激光与粒子束, 2017, 29:091009 doi: 10.11884/HPLPB201729.170063 Sun Weiwen, Wang Shuaijun, Liu Kai. Dual-frequency structured light coding and decoding method for real-time three-dimension reconstruction[J]. High Power Laser and Particle Beams, 2017, 29: 091009 doi: 10.11884/HPLPB201729.170063
[4]	吴宇际, 张青, 王峰, 等. 广角任意反射面速度干涉仪虚像性质[J]. 强激光与粒子束, 2022, 34:112003 doi: 10.11884/HPLPB202234.220226 Wu Yuji, Zhang Qing, Wang Feng, et al. Virtual image properties of wide-angle velocity interferometer system for any reflector[J]. High Power Laser and Particle Beams, 2022, 34: 112003 doi: 10.11884/HPLPB202234.220226
[5]	孙良伟, 罗箐. 同步辐射束流尺寸测量干涉仪的设计与仿真[J]. 强激光与粒子束, 2021, 33:084002 doi: 10.11884/HPLPB202133.210236 Sun Liangwei, Luo Qing. Design and simulation of interferometer for synchrotron radiation beam size measurement[J]. High Power Laser and Particle Beams, 2021, 33: 084002 doi: 10.11884/HPLPB202133.210236
[6]	Ferrari J A, Frins E M. Single-element interferometer[J]. Optics Communications, 2007, 279(2): 235-239. doi: 10.1016/j.optcom.2007.07.038
[7]	宋哲义, 冯国英, 张涛. 不同浓度不同温度下葡萄糖溶液折射率的精确测量[J]. 中国激光, 2014, 41:1208008 doi: 10.3788/CJL201441.1208008 Song Zheyi, Feng Guoying, Zhang Tao. Accurate measurement of the refractive index D-glucose solution at various concentrations at different temperatures[J]. Chinese Journal of Lasers, 2014, 41: 1208008 doi: 10.3788/CJL201441.1208008
[8]	Zhang T, Feng G Y, Song Z Y, et al. A single-element interferometer for measuring refractive index of transparent liquids[J]. Optics Communications, 2014, 332: 14-17. doi: 10.1016/j.optcom.2014.06.028
[9]	Wang C, Xie X Y, Zhang H, et al. Single-element real-time interferometric system for measuring dynamic temperature field of liquid medium[J]. AIP Advances, 2022, 12: 045010. doi: 10.1063/5.0087196
[10]	兰斌, 冯国英, 张涛, 等. 用于透明平板平行度和均匀性测量的单元件干涉仪[J]. 物理学报, 2017, 66:069501 doi: 10.7498/aps.66.069501 Lan Bin, Feng Guoying, Zhang Tao, et al. A single-element interferometer for measuring parallelism and uniformity of transparent plate[J]. Acta Physica Sinica, 2017, 66: 069501 doi: 10.7498/aps.66.069501
[11]	Sánchez J R, Martínez-García A, Rayas J A, et al. LED source interferometer for microscopic fringe projection profilometry using a Gates’ interferometer configuration[J]. Optics and Lasers in Engineering, 2022, 149: 106822. doi: 10.1016/j.optlaseng.2021.106822
[12]	Rayas J A, León-Rodríguez M, Martínez-García A, et al. Using a single-cube beam-splitter as a fringe pattern generator within a structured-light projection system for surface metrology[J]. Optical Engineering, 2017, 56: 044103. doi: 10.1117/1.OE.56.4.044103
[13]	Riobó L M, Veiras F E, Garea M T, et al. Software-defined optoelectronics: space and frequency diversity in heterodyne interferometry[J]. IEEE Sensors Journal, 2018, 18(14): 5753-5760. doi: 10.1109/JSEN.2018.2842143
[14]	Hass K, Insabella R M, González M G, et al. A method for the calibration of wideband ultrasonic sensors for optoacoustics[J]. Review of Scientific Instruments, 2021, 92: 064904. doi: 10.1063/5.0041613
[15]	Picazo-Bueno J A, Trusiak M, Micó V. Single-shot slightly off-axis digital holographic microscopy with add-on module based on beamsplitter cube[J]. Optics Express, 2019, 27(4): 5655-5669. doi: 10.1364/OE.27.005655
[16]	王驰, 解翔宇, 邓颖, 等. 基于单元件干涉仪的计算机断层扫描重建光纤三维折射率分布[J]. 强激光与粒子束, 2022, 34:041006 doi: 10.11884/HPLPB202234.220035 Wang Chi, Xie Xiangyu, Deng Ying, et al. Three-dimensional refractive index reconstruction of optical fibers based on single-element interferometer computed tomography[J]. High Power Laser and Particle Beams, 2022, 34: 041006 doi: 10.11884/HPLPB202234.220035
[17]	罗文全, 冯国英, 杜永兆. 基于分光棱镜干涉法测量透明液体折射率[J]. 中国激光, 2013, 40:0508005 doi: 10.3788/CJL201340.0508005 Luo Wenquan, Feng Guoying, Du Yongzhao. Refraction index measurement of transparent liquid by single-element interferometer[J]. Chinese Journal of Lasers, 2013, 40: 0508005 doi: 10.3788/CJL201340.0508005
[18]	Zhang H Z, Jiang Q. Highly sensitive air pressure sensor based on Fabry-Perot interference[J]. IEEE Sensors Journal, 2022, 22(7): 6637-6643. doi: 10.1109/JSEN.2022.3152045
[19]	Demeter-Finzi A, Ruschin S. Double resonant vertically accessed optical waveguide sensor[J]. IEEE Sensors Journal, 2021, 21(2): 1478-1484. doi: 10.1109/JSEN.2020.3018231