Mueller matrix decomposition for extraction of individual polarization parameters from complex turbid media exhibiting multiple scattering, optical activity, and linear birefringence

Abstract

Linear birefringence and optical activity are two common optical polarization effects present in biological tissue, and determination of these properties has useful biomedical applications. However, measurement and unique interpretation of these parameters in tissue is hindered by strong multiple scattering effects and by the fact that these and other polarization effects are often present simultaneously. We have investigated the efficacy of a Mueller matrix decomposition methodology to extract the individual intrinsic polarimetry characteristics (linear retardance delta and optical rotation psi, in particular) from a multiply scattering medium exhibiting simultaneous linear birefringence and optical activity. In the experimental studies, a photoelastic modulation polarimeter was used to record Mueller matrices from polyacrylamide phantoms having strain-induced birefringence, sucrose-induced optical activity, and polystyrene microspheres-induced scattering. Decomposition of the Mueller matrices recorded in the forward detection geometry from these phantoms with controlled polarization properties yielded reasonable estimates for delta and psi parameters. The confounding effects of scattering, the propagation path of multiple scattered photons, and detection geometry on the estimated values for delta and psi were further investigated using polarization-sensitive Monte Carlo simulations. The results show that in the forward detection geometry, the effects of scattering induced linear retardance and diattenuation are weak, and the decomposition of the Mueller matrix can retrieve the intrinsic values for delta and psi with reasonable accuracy. The ability of this approach to extract the individual intrinsic polarimetry characteristics should prove valuable in diagnostic photomedicine, for example, in quantifying the small optical rotations due to the presence of glucose in tissue and for monitoring changes in tissue birefringence as a signature of tissue abnormality.

Mueller polarimetric imaging for surgical and diagnostic applications: a review

“…Lu-Chipman's decomposition has been validated with well-controlled turbid media which turned out to yield reliable measures of the fundamental polarization properties [113,134,135], and is thus a popular interpretation method applied in a considerable number of tissue polarimetry studies [12, 13, 18-20, 136, 137].…”

Quantitatively characterizing the microstructural features of breast ductal carcinoma tissues in different progression stages by Mueller matrix microscope

“…(2) M R is the sub-matrix of retardance, r 1 and r 2 are the elements of the vector of retardance [34].…”

Characterization of porous media based on the polarimetric matrix models

“…28 Apr 2017 © JBPE 010306-5 Note that for the depolarization matrices (1) and (2), having no nonzero off-diagonal elements, only the elements 12 m in the matrix (1) and 21 m in the matrix (2) vary depending on the observation angle. For the diagonal elements 22 m , 33 m , and 44 m the dependence on the observation angle is quite similar and determined by the interrelation between the volume and the surface scattering for a given observation angle.…”

“…In Refs. [10][11][12] the authors demonstrated the possibility of a matrix model based on the so-called generalized polar decomposition theorem [13] to obtain information on linear and circular birefringence in high depolarization of the output radiation.…”