Optimal configuration of partial Mueller matrix polarimeter for measuring the ellipsometric parameters in the presence of Poisson shot noise and Gaussian noise

Azzam, 1987 Goldstein, 2003 Tompkins, 2005 Garcia-Caurel, 2013, Application of spectroscopic ellipsometry and Mueller ellipsometry to optical characterization, Appl. Spectrosc., 67, 1, 10.1366/12-06883 Hinrichs, 2014 Schmidt, 2009, Optical, structural, and magnetic properties of cobalt nanostructure thin films, J. Appl. Phys., 105, 113508, 10.1063/1.3138809 Oates, 2011, Characterization of plasmonic effects in thin films and metamaterials using spectroscopic ellipsometry, Prog. Surf. Sci., 86, 328, 10.1016/j.progsurf.2011.08.004 Germer, 2000, Measurement of roughness of two interfaces of a dielectric film by scattering ellipsometry, Phys. Rev. Lett., 85, 349, 10.1103/PhysRevLett.85.349 Compain, 1997, Complete high-frequency measurement of Mueller matrices based on a new coupled-phase modulator, Rev. Sci. Instrum., 68, 2671, 10.1063/1.1148178 Arteaga, 2012, Mueller matrix polarimetry with four photoelastic modulators: theory and calibration, Appl. Opt., 51, 6805, 10.1364/AO.51.006805 Jellison, 1990, Two-channel polarization modulation ellipsometer, Appl. Opt., 29, 959, 10.1364/AO.29.000959 Garcia-Caurel, 2004, Spectroscopic Mueller polarimeter based on liquid crystal devices, Thin Solid Films, 455, 120, 10.1016/j.tsf.2003.12.056 Aas, 2010, Near infra-red Mueller matrix imaging system and application to retardance imaging of strain, Thin Solid Films, 519, 2737, 10.1016/j.tsf.2010.12.093 Li, 2015, Optimal distribution of integration time for intensity measurements in Stokes polarimetry, Opt. Express, 21, 27690, 10.1364/OE.23.027690 Anna, 2012, Optimal Mueller matrix estimation in the presence of Poisson shot noise, Opt. Express, 19, 21331, 10.1364/OE.20.021331 Twietmeyer, 2008, Optimization of Mueller matrix polarimeters in the presence of error sources, Opt. Express, 16, 11589, 10.1364/OE.16.011589 Li, 2016, Optimal distribution of integration time for intensity measurements in degree of linear polarization polarimetry, Opt. Express, 7, 7191, 10.1364/OE.24.007191 Frantz, 2008, Well-conditioned multiple laser Mueller matrix ellipsometer, Opt. Eng., 47, 073604, 10.1117/1.2957047 Isreal, 2008, Noise reduction in a laser polarimeter based on discrete waveplate rotations, Opt. Express, 16, 11589 Liu, 2012, Ellipsometry with randomly varying polarization states, Opt. Express, 20, 870, 10.1364/OE.20.000870 Hu, 2014, Simplified calibration procedure for Mueller polarimeter in transmission configuration, Opt. Lett., 39, 418, 10.1364/OL.39.000418 De Martino, 2003, Optimized Mueller polarimeter with liquid crystals, Opt. Lett., 28, 616, 10.1364/OL.28.000616 Krishnan, 1994, Mueller-matrix ellipsometry using the division-of-amplitude photopolarimeter: a study of depolarization effects, Appl. Opt., 33, 4184, 10.1364/AO.33.004184 Savenkov, 2002, Optimization and structuring of the instrument matrix for polarimetric measurements, Opt. Eng., 41, 965, 10.1117/1.1467361 Hu, 2013, Performance of Maximum Likelihood estimation of Mueller matrices taking into account physical realizability and Gaussian or Poisson noise statistics, Opt. Express, 21, 5117, 10.1364/OE.21.005117 Tyo, 2010, Design and optimization of partial Mueller matrix polarimeters, Appl. Opt., 49, 2326, 10.1364/AO.49.002326 Mu, 2016, Optimal configurations of full-Stokes polarimeter with immunity to both Poisson and Gaussian noise, J. Opt., 18, 055702, 10.1088/2040-8978/18/5/055702 Compain, 1999, General and self-consistent method for the calibration of polarization modulators, polarimeters, and mueller-matrix ellipsometers, Appl. Opt., 38, 3490, 10.1364/AO.38.003490 Hatit, 2008, Angle-resolved Mueller polarimeter using a micro- scope objective, Phys. Stat. Sol. (a), 205, 743, 10.1002/pssa.200777806 Li, 2017, Optimization of instrument matrix for Mueller matrix ellipsometry based on partial elements analysis of the Mueller matrix, Opt. Express, 25, 18872, 10.1364/OE.25.018872 Ambirajan, 1995, Optimum angles for a polarimeter: I, Opt. Eng., 34, 1651, 10.1117/12.202093 Mu, 2015, Demonstration of a snapshot full-Stokes division-of aperture imaging polarimeter using Wollaston prism array, J. Opt., 17, 125708, 10.1088/2040-8978/17/12/125708 Sabatke, 2000, Optimization of retardance for a complete Stokes polarimeter, Opt. Lett., 25, 802, 10.1364/OL.25.000802