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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.
[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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[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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