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提出了少量投影数字全息层析重建技术.以具有轴对称结构的光纤和非轴对称结构的石膏头像为实验样本,开展了基于单幅全息图和代数迭代重建算法的层析重建模拟分析及实验研究.模拟分析表明,代数迭代重建算法中的加权因子以及松弛因子对重建图像质量影响显著,因此对加权因子采用非线性加权计算方法,以及通过多次模拟重建结果的比较选择合适的松弛因子.层析重建实验结果表明,无论被测物体是轴对称结构或是非轴对称结构,少量投影数字全息层析重建是可行的,也是有效的.这为下一步针对生物样本内部多层折射率检测和基于单幅层析全息图实现三向实时数字全息层析重建技术研究提供了必要的基础.Digital holographic tomography by a few projections is developed. A section of fiber with symmetrical structure and a plaster head model with nonsymmetrical structure are used as test samples. Both simulation analysis and experimental results are analyzed. Simulation analysis shows that the weighted coefficientwij and the relaxation factor λ affect evidently the quality of the reconstructed image, in addition, the relaxation factor λ also influences the computer speed. Thus the weighted coefficient wij is evaluated by using a nonlinear method and the relaxation factor λ is selected appropriately by comparing several simulation reconstructions. Experimental results reveal the feasibility and the availability of digital holographic tomography by a few projections for symmetrical samples and nonsymmetrical one. In the next work, the real time digital holographic tomography based on three projections and single hologram will be developed to reconstruct the multi-refractive index of biological samples.
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Keywords:
- digital holographic technique /
- tomographic technique /
- a few projections /
- algebraic reconstruction technique
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[15] Bilski B J, Jozwicka A, Kujawinska M 2007 Proc. SPIE 6672 66720A1
[16] Massatsch P, Charrière F, Cuche E, Marquet P, Depeursinge C 2005 Appl. Opt. 44 1807
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[18] Kou S S, Sheppard C J R 2008 Opt. Lett. 33 2362
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[23] Zheng H D, Yu Y J, Wang T, Asundi A 2008 Proc. SPIE 7000 70001U
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[1] Wang J Y, Zhu P P, Zheng X, Yuan Q X, Tian Y L, Huang W X, Wu Z Y 2005 Acta Phys. Sin. 54 1172 (in Chinese) [王寯越、朱佩平、郑 欣、袁清习、田玉莲、黄万霞、吴自玉 2005 物理学报 54 1172]
[2] Qu W J, Liu D A, Zhi Y N, Luan Z, Liu L R 2006 Acta Phys. Sin. 55 4276 (in Chinese) [曲伟娟、刘德安、职亚楠、栾 竹、刘立人 2006 物理学报 55 4276]
[3] Yuan C J, Zhai H C, Wang X L, Wu L 2007 Acta Phys. Sin. 56 218 (in Chinese) [袁操今、翟宏琛、王晓雷、吴 兰 2007 物理学报 56 218]
[4] Yu Y J, Wang T, Zheng H D 2009 Acta Phys. Sin. 58 3154 (in Chinese) [于瀛洁、王 涛、郑华东 2009 物理学报 58 3154]
[5] Li J C, Zhang Y P, Xu W 2009 Acta Phys. Sin. 58 5385 (in Chinese) [李俊昌、张亚萍、许 蔚 2009 物理学报 58 5385]
[6] Zhou W J, Yu Y J, Ni P 2008 Opt. Prec. Eng. 16 899 (in Chinese) [周文静、于瀛洁、倪 萍 2008 光学精密工程 16 899]
[7] Zhou W J, Xu Q S, Yu Y J, Asundi A 2009 Opt. Laser Eng. 47 896
[8] Zhou W J, Yu Y J, Asundi A 2009 Opt. Laser Eng. 42 264
[9] Chen L P, Lu X X 2009 Chin. Phys.B18 189
[10] Shi D F, Chen S H 1995 Appl. Opt. 34 3064
[11] Li J C, Xiong B H 2005 Chin. J. Lasers 32 252 (in Chinese) [李俊昌、熊秉衡 2005 中国激光 32 252]
[12] Charrière F, Pavillon N, Colomb T, Depeursinge C, Heger T J, Mitchell E A D,Marquet P, Rappaz B 2006Opt. Express 14 7005
[13] Charrière F, Marian A, Montfort F, Kuehn J, Colomb T, Cuche E, Marquet P, Depeursinge C 2006 Opt. Lett. 31 178
[14] Montfort F, Colomb T, Charrière F, Kuehn J, Marquet P, Cuche E, Herminjard S, Depeursinge C 2006 Appl. Opt. 45 8209
[15] Bilski B J, Jozwicka A, Kujawinska M 2007 Proc. SPIE 6672 66720A1
[16] Massatsch P, Charrière F, Cuche E, Marquet P, Depeursinge C 2005 Appl. Opt. 44 1807
[17] Yu L F, Chen Z P 2007 Opt. Lett. 32 3005
[18] Kou S S, Sheppard C J R 2008 Opt. Lett. 33 2362
[19] Schnars U, Juptner W P O 2002 Meas.Sci.Technol.23 85
[20] Zhou W J, Xu Q S, Yu Y J 2010 Acta Photon. Sin. 39 1257 (in Chinese) [周文静、徐强胜、于瀛洁 2010 光子学报 39 1257]
[21] Zhang K, Zhu P P, Huang W X, Yuan Q X, Liu L, Yuan B, Wang J Y, Shu H, Chen B, Liu Y J,Li E R, Liu X S, Wu Z Y 2008 Acta Phys. Sin. 57 3410 (in Chinese) [张 凯、朱佩平、黄万霞、袁清习、刘 力、袁 斌、王寯越、舒 航、陈 博、刘宜晋、李恩荣、刘小松、吴自玉 2008 物理学报 57 3410]
[22] Wang X, Chen Z Q, Xiong H, Zhang L 2005 Nucl. Electron. Detec. Technol. 25 784
[23] Zheng H D, Yu Y J, Wang T, Asundi A 2008 Proc. SPIE 7000 70001U
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