title: Estimation of Jones matrix, birefringence and entropy using Cloude-Pottier decomposition in polarization-sensitive optical coherence tomography.
abstract: Estimation of polarimetric parameters has been a fundamental issue to assess biological tissues that have form birefringence or polarization scrambling in polarization-sensitive optical coherence tomography (PS-OCT). We present a mathematical framework to provide a maximum likelihood estimation of the target covariance matrix and its incoherent target decomposition to estimate a Jones matrix of a dominant scattering mechanism, called Cloude-Pottier decomposition, thereby deriving the phase retardation and the optic axis of the sample. In addition, we introduce entropy that shows the randomness of the polarization property. Underestimation of the entropy at a low sampling number is mitigated by asymptotic quasi maximum likelihood estimator. A bias of the entropy from random noises is corrected to show only the polarization property inherent in the sample. The theory is validated with experimental measurements of a glass plate and waveplates, and applied to the imaging of a healthy human eye anterior segment as an image filter.
authors.affiliation: Department of Technology Development, Tomey Corporation, 2-11-33 Noritakeshinmachi, Nishi-ku, Nagoya, Aichi, 451-0051, Japan; m-yamanari@tomey.co.jp.
authors.forename: Masahiro
authors.initials: M
authors.lastname: Yamanari
authors.affiliation: Department of Ophthalmology, Tohoku University Graduate School of Medicine, 1-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8574, Japan.
authors.forename: Satoru
authors.initials: S
authors.lastname: Tsuda
authors.affiliation: Department of Ophthalmology, Tohoku University Graduate School of Medicine, 1-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8574, Japan.
authors.forename: Taiki
authors.initials: T
authors.lastname: Kokubun
authors.affiliation: Department of Ophthalmology, Tohoku University Graduate School of Medicine, 1-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8574, Japan.
authors.forename: Yukihiro
authors.initials: Y
authors.lastname: Shiga
authors.affiliation: Department of Ophthalmology, Tohoku University Graduate School of Medicine, 1-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8574, Japan.
authors.forename: Kazuko
authors.initials: K
authors.lastname: Omodaka
authors.affiliation: Department of Ophthalmology, Tohoku University Graduate School of Medicine, 1-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8574, Japan.
authors.forename: Naoko
authors.initials: N
authors.lastname: Aizawa
authors.affiliation: Department of Ophthalmology, Tohoku University Graduate School of Medicine, 1-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8574, Japan.
authors.forename: Yu
authors.initials: Y
authors.lastname: Yokoyama
authors.affiliation: Department of Ophthalmology, Tohoku University Graduate School of Medicine, 1-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8574, Japan.
authors.forename: Noriko
authors.initials: N
authors.lastname: Himori
authors.affiliation: Department of Ophthalmology, Tohoku University Graduate School of Medicine, 1-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8574, Japan.
authors.forename: Shiho
authors.initials: S
authors.lastname: Kunimatsu-Sanuki
authors.affiliation: Department of Ophthalmology, Tohoku University Graduate School of Medicine, 1-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8574, Japan.
authors.forename: Kazuichi
authors.initials: K
authors.lastname: Maruyama
authors.affiliation: Department of Ophthalmology, Tohoku University Graduate School of Medicine, 1-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8574, Japan.
authors.forename: Hiroshi
authors.initials: H
authors.lastname: Kunikata
authors.affiliation: Department of Ophthalmology, Tohoku University Graduate School of Medicine, 1-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8574, Japan; ntoru@oph.med.tohoku.ac.jp.
authors.forename: Toru
authors.initials: T
authors.lastname: Nakazawa
keywords: (110.4500) Optical coherence tomography; (120.2130) Ellipsometry and polarimetry; (170.4470) Ophthalmology; (170.4500) Optical coherence tomography