基于偏振态调制器的三级米勒矩阵测量
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摘要
对基于偏振态调制器的三级米勒矩阵测量方案进行了理论推导和证明,并对其进行了实验验证。通过建立三级系统方程,利用最小二乘的数值算法回归出多个待测器件的米勒矩阵。这种基于系统估值的方案不同于以往文献中提到的使用在线偏振测量仪测量输入/输出偏振态求解单个米勒矩阵的方法。三级串联光学子系统或光器件的米勒矩阵及其物理偏振参量可在一次测量中同时求得。实验测得的三个光学器件延迟量的标准差分别为0.0012、0.0018和0.0040。还针对测量系统的不确定性进行了仿真模拟,并着重讨论了串联系统中存在的误差累积效应,与实验数据进行了比较。
Three-stage Mueller matrices measurement by polarization state modulators is presented theoretically,and the method is verified by experiment.Through the establishment of system equations,the Mueller matrices of optical device under test can be solved by least squares algorithm.The scheme which is based on system estimation theory is different from the method of measuring the input/output states of polarization with an in-line polarization state analyzer.The Mueller matrices and physical polarization parameters can be obtained in just one experiment.The standard deviations of measured retardances of optical components are 0.0012,0.0018 and 0.0040,respectively.In addition,the simulation of uncertainty and the error accumulation of the system are discussed in detail.There is error accumulation effect in the cascaded system,and the result is consistent with the experimental data.
Three-stage Mueller matrices measurement by polarization state modulators is presented theoretically,and the method is verified by experiment.Through the establishment of system equations,the Mueller matrices of optical device under test can be solved by least squares algorithm.The scheme which is based on system estimation theory is different from the method of measuring the input/output states of polarization with an in-line polarization state analyzer.The Mueller matrices and physical polarization parameters can be obtained in just one experiment.The standard deviations of measured retardances of optical components are 0.0012,0.0018 and 0.0040,respectively.In addition,the simulation of uncertainty and the error accumulation of the system are discussed in detail.There is error accumulation effect in the cascaded system,and the result is consistent with the experimental data.
引文
1 Guo Xinxin,Michael F G Wood,I A Vitkin.Angular measurements of light scattered by turbid chairal media using linear Stokes polarimeter[J].J Biomed Opt,2006,11(4):041105.
2 M A Wallenburg,M F G Wood,N Ghosh,et al..Polarimetrybased method to extract geometry-independent metrics of tissue anisotropy[J].Opt Lett,2010,35(15):2570-2572.
3 H Takechi,O Arteaga,J M Ribo,et al..Chiroptical measurement of chiral aggregates at liquid-liquid interface in centrifugal liquid membrane cell by Mueller matrix and conventional circular dichroism methods[J].Molecules,2011,16(5):3636-3647.
4 JS Tyo,D H Goldstein,D B Chenault,et al..Review of passive imaging polarimetry for remote sensing applications[J].Appl Opt,2006,45(22):5453-5469.
5 OArteaga,A Canillas,J Crusats.Emergence of supramolecular chirality by flows[J].Chem Phys Chem,2010,11(16):3511-3516.
6 ZLi,C Wu,H Dong,et al..Stress distribution and induced birefringence analysis for pressure vector sensing based on single mode fibers[J].Opt Express,2008,16(6):3955-3960.
7 H Takechi,O Arteaga,J M Ribo.Chiroptical measurement of chiral aggregates at liquid-liquid interface in centrifugal liquid membrane cell by Mueller matrix and conventional circular dichroism methods[J].Molecules,2011,16(5):3636-3647.
8 P Clemente,V Durán,L Martínez-León.Use of polar decomposition of Mueller matrices for optimizing the phase response of a liquid-crystal-on-silicon display[J].Opt Express,2008,16(3):1965-1974.
9 Matthew H Smith.Optimization of a dual-rotating-retarder Mueller matrix polarimeter[J].Appl Opt,2002,41(13):2488-2493.
10 K M Twietmeyer,R A Chipman.Optimization of Mueller matrix polarimeters in the presence of error sources[J].Opt Express,2008,16(15):11589-11603.
11 JC Vap,S E Nauyoks,M A Marciniak.Optimization of a dualrotating-retarder polarimeter as applied to a tunable infrared Mueller matrix scatterometer[J].Meas Sci&Technol,2013,24(5):055901.
12 RBarakat.Bilinear constraints between elements of the 4×4Mueller-Jones transfer matrix of polarization theory[J].Opt Commun,1981,38(3):159-161.
13 KH Dong,P Shum,M Yan.Measurement of Mueller matrix for an optical fiber system with birefringence and polarizationdependent loss or gain[J].Opt Commun,2007,274(1):116-123.
14 Avery Paul.Applied Fitting Theory I:General Least Squares Theory[OL].http://www-fg.ijs.si/~matevz/docs/EavergFitting/fitting/fitting/.pdf.[2014-01-15].
15 Alba Peinado,Angel Lizana,Josep Vidal,et al..Optimization and performance criteria of a Stokes polarimeter based on two variable retarders[J].Opt Express,2010,18(8):9815-9830.
16 SYau Lu,R A Chipman.Interpretation of Mueller matrices based on polar decomposition[J].J Opt Soc Am A,1996,13(5):1106-1113.
17 K M Twietmeyer,R A Chipman.Optimization of Mueller matrix polarimeters in the presence of error sources[J].Opt Express,2008,16(15):11589-11603.
2 M A Wallenburg,M F G Wood,N Ghosh,et al..Polarimetrybased method to extract geometry-independent metrics of tissue anisotropy[J].Opt Lett,2010,35(15):2570-2572.
3 H Takechi,O Arteaga,J M Ribo,et al..Chiroptical measurement of chiral aggregates at liquid-liquid interface in centrifugal liquid membrane cell by Mueller matrix and conventional circular dichroism methods[J].Molecules,2011,16(5):3636-3647.
4 JS Tyo,D H Goldstein,D B Chenault,et al..Review of passive imaging polarimetry for remote sensing applications[J].Appl Opt,2006,45(22):5453-5469.
5 OArteaga,A Canillas,J Crusats.Emergence of supramolecular chirality by flows[J].Chem Phys Chem,2010,11(16):3511-3516.
6 ZLi,C Wu,H Dong,et al..Stress distribution and induced birefringence analysis for pressure vector sensing based on single mode fibers[J].Opt Express,2008,16(6):3955-3960.
7 H Takechi,O Arteaga,J M Ribo.Chiroptical measurement of chiral aggregates at liquid-liquid interface in centrifugal liquid membrane cell by Mueller matrix and conventional circular dichroism methods[J].Molecules,2011,16(5):3636-3647.
8 P Clemente,V Durán,L Martínez-León.Use of polar decomposition of Mueller matrices for optimizing the phase response of a liquid-crystal-on-silicon display[J].Opt Express,2008,16(3):1965-1974.
9 Matthew H Smith.Optimization of a dual-rotating-retarder Mueller matrix polarimeter[J].Appl Opt,2002,41(13):2488-2493.
10 K M Twietmeyer,R A Chipman.Optimization of Mueller matrix polarimeters in the presence of error sources[J].Opt Express,2008,16(15):11589-11603.
11 JC Vap,S E Nauyoks,M A Marciniak.Optimization of a dualrotating-retarder polarimeter as applied to a tunable infrared Mueller matrix scatterometer[J].Meas Sci&Technol,2013,24(5):055901.
12 RBarakat.Bilinear constraints between elements of the 4×4Mueller-Jones transfer matrix of polarization theory[J].Opt Commun,1981,38(3):159-161.
13 KH Dong,P Shum,M Yan.Measurement of Mueller matrix for an optical fiber system with birefringence and polarizationdependent loss or gain[J].Opt Commun,2007,274(1):116-123.
14 Avery Paul.Applied Fitting Theory I:General Least Squares Theory[OL].http://www-fg.ijs.si/~matevz/docs/EavergFitting/fitting/fitting/.pdf.[2014-01-15].
15 Alba Peinado,Angel Lizana,Josep Vidal,et al..Optimization and performance criteria of a Stokes polarimeter based on two variable retarders[J].Opt Express,2010,18(8):9815-9830.
16 SYau Lu,R A Chipman.Interpretation of Mueller matrices based on polar decomposition[J].J Opt Soc Am A,1996,13(5):1106-1113.
17 K M Twietmeyer,R A Chipman.Optimization of Mueller matrix polarimeters in the presence of error sources[J].Opt Express,2008,16(15):11589-11603.