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数字显微全息技术由于具有三维、非接触和实时测量微小空间内流场的能力, 已引起了国内外学者的广泛关注. 利用数字显微全息方法测量微通道流场时, 记录距离、颗粒尺寸、颗粒浓度、入射光波长、CCD分辨率等参数会对颗粒重建结果产生重要影响. 为了评估颗粒浓度和样本空间深度对重建结果的影响, 本文开展了数值模拟研究. 采用基于洛伦兹-米散射理论的程序产生不同浓度的颗粒全息图, 用小波变换重建算法对其进行重建. 结果表明: 在样本空间深度为24 μm 时, 颗粒浓度ns在3.44×105 mm-3–13.77×105 mm-3 范围内时, 颗粒重建率Ep随着颗粒浓度ns 的增大而迅速减小, 在13.77×105 mm-3–55.08×105 mm-3范围内时, 颗粒重建率Ep 随颗粒浓度ns增大而缓慢减少. 在颗粒浓度ns (13.77×105 mm-3) 保持不变时, 颗粒重建率Ep与样本空间深度满足单调递减的线性关系. 当阴影密度不变时, 重建率的变化呈现一定的规律性:当深度L较小时, 样本空间深度对颗粒重建的影响要比颗粒浓度的影响大; 当深度L较大时, 颗粒浓度对颗粒重建的影响较大.Digital holographic microscopy plays a key role in micro-fluid measurement,and appears to be a strong contender as the next-generation technology for diagnostics of three-dimensional (3D) particle field. However, various recording parameters, such as the recording distance, the particle size, the wavelength, the size of the CCD chip, the pixel size and the particle concentration, will affect the results of the reconstruction, and may even determine the success or failure of a measurement. In this paper, we numerically investigate the effects of particle concentration and the volume depth on reconstruction efficiency, to evaluate the capability of digital holographic microscopy. Standard particle holograms with all known recording parameters are numerically generated by using a common procedure based on Lorenz-Mie scattering theory. Reconstruction of those holograms are then performed by a wavelet-transform based method. Results show that on the premise that the value of volume depth is 24 μm, the reconstruction efficiency Ep decreases quickly until particle concentration reaches 6.89×105 mm-3, and decreases slowly with the increase of particle concentration from 6.89×105 mm-3 to 55.08×105 mm-3. And on the premise that the value of particle concentration is 13.77×105 mm-3, the reconstruction efficiency Ep decreases linearly with the increase of the volume depth. When shadow density is constant, the variance of the construction efficiency presents a certain regularity. When the volume depth is small, the effect of particle concentration on the reconstruction efficiency becomes larger than one of volume depth, while it comes to a completely opposite result with a larger volume depth.
[1] Tanner D 2009 Microelectron. Reliab. 49 937
[2] Shi S, Chen D P, Jing Y P, Ou Y, Ye T C, Xu Q X 2010 Chin. Phys. B 19 76802
[3] Potrich C, Lunelli L, Forti S, Vozzi D, Pasquardini L, Vanzetti L, Panciatichi C, Anderle M, Pederzolli C 2010 Eur. Biophys. J. Biophy. 39 979
[4] Yao S, Tang X, Hsieh C, Alyousef Y, Vladimer M, Fedder G K, Amon C H 2006 Energy 31 636
[5] Langehanenberg P, Kemper B, Dirksen D, von Bally G 2008 Appl. Opt. 47 D176
[6] Mir T A, Shinohara H 2012 Anal. Biochem. 429 53
[7] Whalen S, Thompson M, Bahr D, Richards C, Richards R 2003 Sensor. Actuat. A Phys. 104 290
[8] Do K H, Jang S P 2010 Int. J. Heat Mass Trans. 53 2183
[9] Cai W, Wang F, van Veen A, Descorme C, Schuurman Y, Shen W, Mirodatos C 2010 Int. J. Hydrogen Energ. 35 1152
[10] Park J S, Choi C K, Kihm K D 2004 Exp. Fluids 37 105
[11] Elsinga G, Westerweel J, Scarano F, Novara M 2011 Exp. Fluids 50 825
[12] Wu Y C, Wu X C, Wang Z H, Chen L H, Cen K F 2011 Appl. Opt. 50 H22
[13] Garcia-Sucerquia J, Xu W, Jericho S K, Klages P, Jericho M H, Kreuzer H J 2006 Appl. Opt. 45 836
[14] Sheng J, Malkiel E, Katz J 2006 Appl. Opt. 45 3893
[15] Ferraro P, Coppola G, De Nicola S, Finizio A, Pierattini G 2003 Opt. Lett. 28 1257
[16] Wu Y L, Yang Y, Zhai H C, Ma Z H, Gai Q, Deng L J 2013 Acta Phys. Sin. 62 084203 (in Chinese) [吴永丽, 杨勇, 翟宏琛, 马忠洪, 盖琦, 邓丽军 2013 物理学报 62 084203]
[17] Wang H Y, Liu F F, Liao W, Song X F, Yu M J, Liu Z Q 2013 Acta Phys. Sin. 62 054208 (in Chinese) [王华英, 刘飞飞, 廖薇, 宋修法, 于梦杰, 刘佐强 2013 物理学报 62 054208]
[18] Wang H Y, Liu F F, Song X F, Liao W, Zhao B Q, Yu M J, Liu Z Q 2013 Acta Phys. Sin. 62 024207 (in Chinese) [王华英, 刘飞飞, 宋修法, 廖薇, 赵宝群, 于梦杰, 刘佐强 2013 物理学报 62 024207]
[19] Kim S, Lee S J 2007 J Micromech. Microeng. 17 2157
[20] Satake S I, Kunugi T, Sato K, Ito T, Kanamori H, Taniguchi J 2006 Meas. Sci. Technol. 17 1647
[21] Wu Y C, Wu X C, Wang Z H, Grehan G, Chen L H, Cen K F 2011 Appl. Opt. 50 H297
[22] Cao L, Pan G, De Jong J, Woodward S, Meng H 2008 Appl. Opt. 47 4501
[23] Pan G, Meng H 2003 Appl. Opt. 42 827
[24] Fugal J, Shaw R 2009 Atmos. Meas. Tech. 2 259
[25] Yang Y, Li G, Tang L, Huang L 2012 Appl. Opt. 51 255
[26] Malek M, Allano D, Coëtmellec S, Zkul C, Lebrun D 2004 Meas. Sci. Technol. 15 699
[27] Meng H, Anderson W, Hussain F, Liu D D 1993 J. Opt. Soc. Am. A 10 2046
[28] Royer H 1974 Nouvelle Revued Optique 5 87
[29] Malek M, Allano D, Coëtmellec S, Lebrun D 2004 Opt. Express 12 2270
[30] Zhang Y, Shen G, Schroder A, Kompenhans J 2006 Opt. Eng. 45 075801
[31] Singh D K, Panigrahi P 2012 Appl. Opt. 51 3874
[32] Restrepo J F, Garcia-Sucerquia J 2013 Appl. Opt. 52 A310
[33] Natan T, Shaked, Joseph R, Adrian S 2007 Opt. Express 15 5754
[34] Kumar Nishchal N, Joseph J, Singh K 2004 Opt. Commun. 235 253
[35] Buraga-Lefebvre C, Coëtmellec S, Lebrun D, Zkul C 2000 Opt. Laser Eng. 33 409
[36] Anderson W, Diao H 1995 Appl. Opt. 34 249
[37] Lebrun D, Belaïd S, Zkul C 1999 Appl. Opt. 38 3730
[38] Wu X C, Meunier-Guttin-Cluzel S, Wu Y C, Saengkaew S, Lebrun D, Brunel M, Chen L H, Coetmellec S, Cen K F, Grehan G 2012 Opt. Commun. 285 3013
[39] Pu S L, Allano D, Patte-Rouland B, Malek M, Lebrun D, Cen K F 2005 Exp. Fluids 39 1
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[1] Tanner D 2009 Microelectron. Reliab. 49 937
[2] Shi S, Chen D P, Jing Y P, Ou Y, Ye T C, Xu Q X 2010 Chin. Phys. B 19 76802
[3] Potrich C, Lunelli L, Forti S, Vozzi D, Pasquardini L, Vanzetti L, Panciatichi C, Anderle M, Pederzolli C 2010 Eur. Biophys. J. Biophy. 39 979
[4] Yao S, Tang X, Hsieh C, Alyousef Y, Vladimer M, Fedder G K, Amon C H 2006 Energy 31 636
[5] Langehanenberg P, Kemper B, Dirksen D, von Bally G 2008 Appl. Opt. 47 D176
[6] Mir T A, Shinohara H 2012 Anal. Biochem. 429 53
[7] Whalen S, Thompson M, Bahr D, Richards C, Richards R 2003 Sensor. Actuat. A Phys. 104 290
[8] Do K H, Jang S P 2010 Int. J. Heat Mass Trans. 53 2183
[9] Cai W, Wang F, van Veen A, Descorme C, Schuurman Y, Shen W, Mirodatos C 2010 Int. J. Hydrogen Energ. 35 1152
[10] Park J S, Choi C K, Kihm K D 2004 Exp. Fluids 37 105
[11] Elsinga G, Westerweel J, Scarano F, Novara M 2011 Exp. Fluids 50 825
[12] Wu Y C, Wu X C, Wang Z H, Chen L H, Cen K F 2011 Appl. Opt. 50 H22
[13] Garcia-Sucerquia J, Xu W, Jericho S K, Klages P, Jericho M H, Kreuzer H J 2006 Appl. Opt. 45 836
[14] Sheng J, Malkiel E, Katz J 2006 Appl. Opt. 45 3893
[15] Ferraro P, Coppola G, De Nicola S, Finizio A, Pierattini G 2003 Opt. Lett. 28 1257
[16] Wu Y L, Yang Y, Zhai H C, Ma Z H, Gai Q, Deng L J 2013 Acta Phys. Sin. 62 084203 (in Chinese) [吴永丽, 杨勇, 翟宏琛, 马忠洪, 盖琦, 邓丽军 2013 物理学报 62 084203]
[17] Wang H Y, Liu F F, Liao W, Song X F, Yu M J, Liu Z Q 2013 Acta Phys. Sin. 62 054208 (in Chinese) [王华英, 刘飞飞, 廖薇, 宋修法, 于梦杰, 刘佐强 2013 物理学报 62 054208]
[18] Wang H Y, Liu F F, Song X F, Liao W, Zhao B Q, Yu M J, Liu Z Q 2013 Acta Phys. Sin. 62 024207 (in Chinese) [王华英, 刘飞飞, 宋修法, 廖薇, 赵宝群, 于梦杰, 刘佐强 2013 物理学报 62 024207]
[19] Kim S, Lee S J 2007 J Micromech. Microeng. 17 2157
[20] Satake S I, Kunugi T, Sato K, Ito T, Kanamori H, Taniguchi J 2006 Meas. Sci. Technol. 17 1647
[21] Wu Y C, Wu X C, Wang Z H, Grehan G, Chen L H, Cen K F 2011 Appl. Opt. 50 H297
[22] Cao L, Pan G, De Jong J, Woodward S, Meng H 2008 Appl. Opt. 47 4501
[23] Pan G, Meng H 2003 Appl. Opt. 42 827
[24] Fugal J, Shaw R 2009 Atmos. Meas. Tech. 2 259
[25] Yang Y, Li G, Tang L, Huang L 2012 Appl. Opt. 51 255
[26] Malek M, Allano D, Coëtmellec S, Zkul C, Lebrun D 2004 Meas. Sci. Technol. 15 699
[27] Meng H, Anderson W, Hussain F, Liu D D 1993 J. Opt. Soc. Am. A 10 2046
[28] Royer H 1974 Nouvelle Revued Optique 5 87
[29] Malek M, Allano D, Coëtmellec S, Lebrun D 2004 Opt. Express 12 2270
[30] Zhang Y, Shen G, Schroder A, Kompenhans J 2006 Opt. Eng. 45 075801
[31] Singh D K, Panigrahi P 2012 Appl. Opt. 51 3874
[32] Restrepo J F, Garcia-Sucerquia J 2013 Appl. Opt. 52 A310
[33] Natan T, Shaked, Joseph R, Adrian S 2007 Opt. Express 15 5754
[34] Kumar Nishchal N, Joseph J, Singh K 2004 Opt. Commun. 235 253
[35] Buraga-Lefebvre C, Coëtmellec S, Lebrun D, Zkul C 2000 Opt. Laser Eng. 33 409
[36] Anderson W, Diao H 1995 Appl. Opt. 34 249
[37] Lebrun D, Belaïd S, Zkul C 1999 Appl. Opt. 38 3730
[38] Wu X C, Meunier-Guttin-Cluzel S, Wu Y C, Saengkaew S, Lebrun D, Brunel M, Chen L H, Coetmellec S, Cen K F, Grehan G 2012 Opt. Commun. 285 3013
[39] Pu S L, Allano D, Patte-Rouland B, Malek M, Lebrun D, Cen K F 2005 Exp. Fluids 39 1
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