PMID- 20052231 OWN - NLM STAT- MEDLINE DCOM- 20100317 LR - 20181023 IS - 1094-4087 (Electronic) IS - 1094-4087 (Linking) VI - 17 IP - 25 DP - 2009 Dec 7 TI - Optimum input states of polarization for Mueller matrix measurement in a system having finite polarization-dependent loss or gain. PG - 23044-57 LID - 10.1364/OE.17.023044 [doi] AB - We present the theoretical and simulation results of the relationship between three input states of polarization (SOP) and the Mueller matrix measurement error in an optical system having birefringence and finite polarization-dependent loss or gain (PDL/G). By using the condition number as the criterion, it can be theoretically demonstrated that the three input SOPs should be equally-spaced on the Poincare sphere and centered on the reversed PDL/G vector to achieve better measurement accuracy in a single test. Further, an upper bound of the mean of the Mueller matrix measurement error is derived when the measurement errors of output Stokes parameters independently and identically follow the ideal Gaussian distribution. This upper bound also shows that the statistically best Mueller matrix measurement accuracy can be obtained when the three input SOPs have the same relationship mentioned above. Simulation results confirm the validity of the theoretical findings. FAU - Dong, H AU - Dong H AD - Institute for Infocomm Research, 1 Fusionopolis Way, # 21-01 Connexis South, Singapore 138632. hdong@i2r.a-star.edu.sg FAU - Gong, Y D AU - Gong YD FAU - Paulose, Varghese AU - Paulose V FAU - Shum, P AU - Shum P FAU - Olivo, Malini AU - Olivo M LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't PL - United States TA - Opt Express JT - Optics express JID - 101137103 SB - IM MH - Computer Simulation MH - Light MH - *Models, Theoretical MH - Refractometry/*methods MH - Scattering, Radiation EDAT- 2010/01/07 06:00 MHDA- 2010/03/18 06:00 CRDT- 2010/01/07 06:00 PHST- 2010/01/07 06:00 [entrez] PHST- 2010/01/07 06:00 [pubmed] PHST- 2010/03/18 06:00 [medline] AID - 192293 [pii] AID - 10.1364/OE.17.023044 [doi] PST - ppublish SO - Opt Express. 2009 Dec 7;17(25):23044-57. doi: 10.1364/OE.17.023044.