基于空间光调制器的层析成像技术

刘洪顺; 王喆; 胡琪; 孙家成; 邓家春

doi:doi:10.3788/co.20191206.1338

中国光学, 2019, 12 (6): 1338, 网络出版: 2020-01-19

基于空间光调制器的层析成像技术

Tomography technology based on spatial light modulator

论文大纲

刘洪顺 ^*王喆胡琪孙家成邓家春

作者单位

天津理工大学理学院, 天津 300384

全息技术空间光调制器波前重现层析成像傅立叶变换算法 holographic technology spatial light modulator wavefront reproduction tomography fourier transform algorithm

摘要

以传统的干涉法全息技术为基础, 本文提出了一种纯光学的三维显示全息技术。利用空间光调制器实现真实物体的物光波前重现, 在不同平面上呈现物体的层析像。首先, 利用波前传感器采集真实物体的波前信息。接着, 运用单次快速傅立叶变换算法对光路中成像透镜的传递函数进行模拟, 制成含有该物光经透镜后的波前信息, 分别得到了实验所需的强度和相位灰度图片。然后, 通过两台空间光调制器对入射平行光场进行调制, 从而实现对物光经透镜后的光场进行波前重现。最后, 根据透镜的成像原理, 把CCD分别放置在物体前后两个成像面上即可得到层析的成像图。实验中分别在距离空间光调制器后2985 mm和3376 mm处观察所探测到的物体前后两个成像面的立体层析像。实验结果表明: 在模拟透镜的焦距为150 mm、计算衍射距离为150 mm的情况下, 前后两个成像面在x、y轴方向上的横向放大率分别为(11, 108)和(134, 109), 与利用透镜成像公式计算得到的横向放大率(1, 12)相比, 相对误差分别为(106%, 8%)和(117%, 8%)。角扩散度分别为295°和261°, 其相对误差分别为26%和07%, 低于5%, 基本符合实验原理。实验结果证明了该方法的可行性, 为后续开展的三维显示与新的全息技术提供了有效的技术支撑。

Abstract

On the basis of traditional interferometric holography technology, we propose a purely optical three-dimensional display holography technology. A spatial light modulator is used to realize wavefront reproduction of object beams from a real object and holographic images of the object are presented on different planes through tomography. First, a wavefront sensor is used to acquire the wavefront information of the real object. After that, a single fast Fourier transform algorithm is applied to simulate the transfer function of the imaging lens in the optical path and a phase grayscale image containing the wavefront information of the object light passing through the lens is prepared. Then, the incident parallel light field is modulated using two spatial light modulators to achieve wavefront reproduction of the light field passing through the lens. Finally, according to the imaging principle of the lens, a CCD is placed on the imaging surface of the two objects to obtain their tomography. The experimental results show that the stereoscopic tomographic image of the detected object is observed at a distance of 2985 mm and 3376 mm from the spatial light modulator when the focal length of the simulated lens is set to 150 mm and the calculated diffraction distance is 150 mm, respectively. The lateral magnifications of the two front and back imaging planes in the x and y axes are (11, 108) and (134, 109), respectively. Compared with the lateral magnification (1, 12) calculated by the lens imaging formula, these relative errors are (106%, 8%) and (117%, 8%). The angular spread is 295° and 261°, respectively, and the relative error is less than 5%, which confirms the experiment principals. The experiment provides an effective research method for the subsequent three-dimensional display and new holographic technology.

参考文献

[1] SON J Y,JAVIDI B,KWACK K D. Methods for displaying three-dimensional images[J]. Proceedings of the IEEE,2006,94(3): 502-523.

[2] HONG J,KIM Y,CHOI H J,et al..Three-dimensional display technologies of recent interest: principles, status, and issues[Invited][J]. Applied Optics,2011,50(34): H87-H115.

[3] 张梦妮, 张锦, 蒋世磊,等.用于智能显示的相位型计算全息图的设计[J].液晶与显示,2018,33(3): 245-253.

ZHANG M N,ZHANG J,JIANG SH L,et al.. Design of phase type CGH for intelligent display[J]. Chinese Journal of Liquid Crystals and Displays,2018,33(3): 245-253.(in Chinese)

[4] TAKAKI Y,NAKANUMA H. Improvement of multiple imaging system used for natural 3D display which generates high-density directional images[J]. Proceedings of SPIE,2003,5243: 42-49.

[5] 李颖奎, 齐冀, 张洁,等.基于液晶空间光调制器的变倍率激光扩束技术研究[J].液晶与显示,2018,33(9): 52-59.

LI Y K,QI J,ZHANG J,et al.. Research on variable magnification laser beam expanding technology based on liquid crystal spatial light modulator[J]. Chinese Journal of Liquid Crystals and Displays,2018,33(9): 52-59.(in Chinese)

[6] COLLINGS N,CHRISTMAS J L,MASIYANO D,et al..Real-time phase-only spatial light modulators for 2D holographic display[J]. Journal of Display Technology,2015,11(3): 278-284.

[7] CHOI J,CHOI M. Universal phase-only spatial light modulators[J]. Optics Express,2017,25(19): 22253-22267.

[8] CHOI S,ROH J,SONG H,et al..Modulation efficiency of double-phase hologram complex light modulation macro-pixels[J]. Optics Express,2014,22(18): 21460-21470.

[9] PARK S, ROH J, KIM S,et al..Characteristics of complex light modulation through an amplitude-phase double-layer spatial light modulator[J]. Optics Express,2017,25(4): 3469-3480.

[10] 朱咸昌,伍凡,曹学东,等.基于Hartmann-Shack波前检测原理的微透镜阵列焦距测量[J].光学精密工程,2013,21(5): 1122-1128.

ZHU X CH,WU F,CAO X D,et al..Focal length measurement of microlens-array based on wavefront testing principle of Hartmann-Shack sensor[J]. Opt. Precision Eng.,2013,21(5): 1122-1128.(in Chinese)

[11] 范广飞,陈林森,魏国军,等.基于衍射追迹的集成成像重构算法[J].光学学报,2016,36(5): 0511003.

FAN G F,CHEN L S,WEI G J,et al..Computational reconstruction algorithm for integral imaging based on diffraction tracing[J]. Acta Optica Sinica,2016,36(5): 0511003.(in Chinese)

[12] GONG H,SOLOVIEV O,WILDING D,et al.. Holographic imaging with a Shack-Hartmann wavefront sensor[J]. Optics Express,2016,24(13): 13729-13737.

[13] 李俊昌.角谱衍射公式的快速傅里叶变换计算及在数字全息波面重建中的应用[J].光学学报,2009,29(5): 1163-1167.

LI J CH. FFT computation of angular spectrum diffraction formula and its application in wavefront reconstruction of digital holography[J]. Acta Optica Sinica,2009,29(5): 1163-1167.(in Chinese)

[14] 孙试翼,匡翠方,刘旭.基于光场成像的表面三维重构[J].应用光学,2017,38(2): 210-214.

SUN SH Y,KUANG C F,LIU X. Three dimensional surface reconstruction based on light field imaging[J]. Journal of Applied Optics,2017,38(2): 210-214.(in Chinese)

[15] 韩剑,刘娟,刘冬梅,等.基于空间光调制器的全息透镜记录波前像差优化方法[J].中国激光,2014,41(2): 167-174.

HAN J,LIU J,LIU D M,et al..Optimizing approach of wavefront aberration in the recording of holographic lens based on spatial light modulator[J]. Chinese Journal of Lasers,2014,41(2): 167-174.(in Chinese)

[16] 胡琪,王喆,刘洪顺,等.基于单次傅里叶变换的分段衍射算法[J].中国光学,2018,11(4): 568-575.

HU Q,WANG ZH,LIU H SH,et al..Step diffraction algorithm based on single fast Fourier transform algorithm[J]. Chinese Optics,2018,11(4): 568-575.(in Chinese)

[17] 李俊昌,熊秉衡.信息光学教程[M].北京: 科学出版社,2011: 17-34,48-51.

LI J CH,XIONG B H. Information Optics Course[M]. Beijing: Science Press,2011: 17-34,48-51.(in Chinese)

[18] 马科斯·波恩,埃米尔·沃耳夫.光学原理: 光的传播、干涉和衍射的电磁理论[M]. 杨葭荪,译.北京: 电子工业出版社,2016: 1-9.

BORN M,WOLF E. Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, Seventh(Expanded) Edition[M]. YANG J S,trans. Beijing: Publishing House of Electronics Industry,2016: 1-9.(in Chinese)

[19] 古德曼.傅里叶光学导论[M].秦克诚,刘培森,陈家璧,等,译.3版.北京: 电子工业出版社,2011: 17-20,23-37.

GOODMAN J W. Introduction to Fourier Optics[M]. QIN K CH,LIU P S,CHEN J B,et al,trans. 3rd ed. Beijing: Publishing House of Electronics Industry,2011: 17-20,23-37.(in Chinese)

[20] RIUS J,FRONTER A C. Extending the S-FFT direct-methods algorithm to density functions with positive and negative peaks. XIV[J]. ActaCrystallographica.Section A,Foundations of Crystallography,2008,64(Pt6): 670-674.

[21] 钱晓凡.信息光学数字实验室: Matlab版[M].北京: 科学出版社,2015: 22-27.

QIAN X F. Information Optics Digital Laboratory(Matlab Edition)[M]. Beijing: Science Press,2015: 22-27.(in Chinese)

[22] 张栋,王维博,马波,等.基于线性插值的采样值估计算法及误差分析[J].自动化与仪器仪表,2016(4): 231-233,236.

ZHANG D,WANG W B,MA B,et al..Sampling value estimation algorithm based on linear interpolation and error analysis[J]. Automation & Instrumentation,2016(4): 231-233,236.(in Chinese)

[23] 闫赛,武秀,王春云,等.空间光调制器振幅和相位调制特性的实验研究[J].量子光学学报,2018,24(1): 107-112.

YAN S,WU X,WANG CH Y,et al..Experimental study on amplitude and phase modulation characteristics of spatial light modulator[J]. Journal of Quantum Optics,2018,24(1): 107-112.(in Chinese)

刘洪顺, 王喆, 胡琪, 孙家成, 邓家春. 基于空间光调制器的层析成像技术[J]. 中国光学, 2019, 12(6): 1338. LIU Hong-shun, WANG Zhe, HU Qi, SUN Jia-cheng, DENG Jia-chun. Tomography technology based on spatial light modulator[J]. Chinese Optics, 2019, 12(6): 1338.

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