基于多角度无透镜傅里叶变换数字全息的散斑噪声抑制成像研究

王大勇; 王云新; 郭莎; 戎路; 张亦卓

doi:10.7498/aps.63.154205

摘要

在数字全息成像中，散斑噪声严重影响了再现像的信噪比和成像分辨率，因此为了提高数字全息成像质量，迫切需要抑制再现像的散斑噪声. 分析并给出了矩形散射光斑的强度协方差，定量计算了特定实验条件下产生退相关散斑图样的最小角度差. 结合透镜的性质设计并搭建了多角度无透镜傅里叶变换数字全息成像系统，利用光纤端面在透镜焦平面的二维机械移动代替传统反射镜的旋转，使照明光束在不改变照明位置和大小的同时，可任意改变光束方向. 移动光纤端面使多角度照明满足最小角度差，获取了81幅数字全息图. 利用单次快速傅里叶逆变换实现数值再现，对多幅再现像的强度像求平均，实验结果表明散斑对比度降低为单幅再现像的14.6%，使图像信噪比提高了6.9倍. 该抑制散斑的多角度数字全息成像方法有效的抑制了散斑噪声，且成像光路结构简单，可操作性强.

关键词:

Abstract

The signal-to-noise ratio and resolution of the reconstructed image is seriously influenced by speckle noise in digital holography, so it is essential to reduce the speckle noise and improve the image quality. Intensity correlation between two speckle patterns with the rectangle speckle spot is analyzed and deduced, and the minimal angular difference of illumination beams is given quantitatively under a special situation. A lensless Fourier transform holographic imaging system with angular diversity is designed based on the lens property, in which the direction of the wave can be changed by shifting the fiber instead of conventionally rotating the mirror, and the formor can change the direction of illumination with a fixed illumination size and location. Eighty one holograms with uncorrelated speckle patterns are recorded at different illumination angles by shifting the fiber. Then a digital reconstruction is achieved only by a fast Fourier transform, and the multiple reconstructed images are averaged. Experimental results show that the speckle contrast of the averaged reconstructed image can be reduced to 14.6% that from a single reconstructed image, and the signal-to-noise ratio is improved 6.9 times. This proposed digital holographic imaging method can suppress the speckle noise greatly, has a simple setup, and is easy to operate.

Keywords:

作者及机构信息

1.
北京工业大学应用数理学院, 北京 100124;

2.
北京工业大学微纳信息光子技术研究所, 北京 100124;

3.
北京市精密测控技术与仪器工程技术研究中心, 北京 100124

基金项目: 国家自然科学基金（批准号：61077004，61205010，61307010）、北京市自然科学基金（批准号：1122004）、高等学校博士学科点专项科研基金（批准号：20121103120003）、北京市教育委员会科技计划项目（批准号：KM201310005031）、中国博士后科学基金（批准号：2013M540828）、北京市博士后科研活动经费资助（批准号：2013ZZ-17）和中央支持地方专项配套项目资助的课题.

Authors and contacts

1.
College of Applied Sciences, Beijing University of Technology, Beijing 100124, China;

2.
Institute of Information Photonics Technology, Beijing University of Technology, Beijing 100124, China;

3.
Beijing Engineering Research Center of Precision Measurement & Control Technology and Instruments, Beijing 100124, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61077004, 61205010, 61307010), the Natural Science Foundation of Beijing, China (Grant No. 1122004), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20121103120003), the Science and Technology Project of Beijing Municipal Commission of Education, China (Grant No. KM201310005031), the China Postdoctoral Science Foundation (Grant No. 2013M540828), the Beijing Postdoctoral Sustentation Fund, China (Grant No. 2013ZZ-17), and the Special Matching Project of Local Area supported by the Central Committee of China.

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施引文献

[1]	Colomb T, Cuche E, Charriere F, Kühn J, Aspert N, Montfort F, Marquet P, Depeursinge C 2006 Appl. Opt. 45 851
[2]
[3]
[4]	Ferraro P, Nicola S D, Finizio A, Coppola G, Grilli S, Magro C, Pierattini G 2003 Appl. Opt. 42 1938
[5]	Javidi B, Tajahuerce E 2000 Opt. Lett. 25 610
[6]
[7]	Kemper B, Bauwens A, Vollmer A, Ketelhut S, Langehanenberg P, Müthing J, Karch H, von Bally G 2010 Journal of Biomedical Optics 15 036009
[8]
[9]
[10]	Lü Q N, Chen Y L, Yuan R, Ge B Z, Gao Y, Zhang Y M 2009 Appl. Optics 48 7000
[11]
[12]	Zhang Q S, Lv X X, Yu Q T, Liu G Y 2009 Chin. Phys. B 18 2764
[13]	Li J C, Fan Z B, Tankam P, Song Q H, Picart P 2011 Acta Phys. Sin. 60 034204 (in Chinese) [李俊昌, 樊则宾, Tankam Patrice, 宋庆和, Picart Pascal 2011 60 034204]
[14]
[15]
[16]	Claus D, Fritzsche M, Iliescu D, Timmerman B, Bryanston-Cross P 2011 Appl. Optics 50 4711
[17]
[18]	Uzan A, Rivenson Y, Stern A 2013 Appl. Optics 52 A195
[19]
[20]	Sharma A, Sheoran G, Jaffery Z A, Moinuddin 2008 Opt. Lasers Eng. 46 42
[21]	Maycock J, Hennelly B M, McDonald J B, Frauel Y, Castro A, Javidi B, Naughton T J 2007 J. Opt. Soc. Am. A 24 1617
[22]
[23]
[24]	Bianco V, Paturzo M, Memmolo P, Finizio A, Ferraro P, Javidi B 2013 Opt. Lett. 38 619
[25]
[26]	Cai X O, Ni X J 2013 Laser & Optoelectronics Progress 50 050901 (in Chinese) [蔡晓鸥, 倪小静 2013 激光与光电子学进展 50 050901]
[27]	Remmersmann C, Stüwald S, Kemper B, Langehanenberg P, Bally G. Von 2009 Appl. Optics 48 1463
[28]
[29]
[30]	Langehanenberg P, Bally G, Kemper B 2010 J. Mod. Opt. 57 709
[31]
[32]	Pan F, Xiao W, Liu S, Rong L 2013 Opt. Commun. 292 68
[33]
[34]	Kozacki T, Jó źicki R 2005 Opt. Commun. 252 188
[35]	Nomura T, Okamura M, Nitanai E, Numata T 2008 Appl. Optics 47 D38
[36]
[37]	Rong L, Xiao W, Pan F, Liu S, Li R 2010 Chin. Opt. Lett. 8 653
[38]
[39]
[40]	Park Y K, Choi W, Yaqoob Z, Dasari R, Badizadegan K, Feld M S 2009 Opt. Express 17 12285
[41]
[42]	Quan C G, Kang X, Tay C J 2007 Opt. Eng. 46 115801
[43]
[44]	Feng P, Wen X, Lu R 2009 Opt. Express 17 5473
[45]	Goodman J W 2009 Speckle Phenomena in Optics: Theory and Applications (Science Press) p131 (in Chinese) [Goodman J W著, 曹其智, 陈家璧译 2009 光学中的散斑现象——理论与应用(科学出版社)第131页]
[46]
[47]	Wang Y, Meng P, Wang D, Rong L, Panezai S 2013 Optics Express 21 19568
[48]
[49]	Wang Y, Wang D, Zhao J, Yang Y, Xiao X, Cui H 2011 Chinese Optics Letters 9 030901
[50]
[51]	Lü N 2006 Fourier Optics (China Machine Press) p245 (in Chinese) [吕乃光2006傅里叶光学(机械工业出版社)第245页]

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