Mueller Matrix Polarimetry Research Papers (original) (raw)

This paper is presensing a computer software package for pre-processing of NASA/JPL's fully polarimetric AIRSAR imaging radar data. The software can be used to quickly calculate synthetic aperture radar images of any polarization state,... more

This paper is presensing a computer software package for pre-processing of NASA/JPL's fully polarimetric AIRSAR imaging radar data. The software can be used to quickly calculate synthetic aperture radar images of any polarization state, to show statistics for areas of interest, to compute polarization response diagrams (polarization signatures) and to optimize polarimetric discrimination for land-use classification, for example.

A general mathematical model based on Mueller-matrix calculation is presented to describe the optical behavior of a dual-crystal electro-optic modulator. The two crystals inside the modulator are oriented at ± 45° with respect to the... more

A general mathematical model based on Mueller-matrix calculation is presented to describe the optical behavior of a dual-crystal electro-optic modulator. The two crystals inside the modulator are oriented at ± 45° with respect to the horizontal, thereby cancelling natural birefringence and temperature-induced birefringence. We describe the behavior of the modulator as a function of the ellipticity of the crystals, the rotation angles of the crystals and the applied voltage. By fitting the measured data with a Mueller-matrix model that uses values for the ellipticity and orientation angles of the crystals, the simulated data and the experimental measurements could be matched. This Mueller-matrix includes physical properties of the thermally compensated electro optic modulator, and the matrix can be used in simulations where these device-specific properties are important, for instance in the modeling of a polarization-sensitive optical coherence tomography system.

We present mathematical formulas generalizing polarization gating (PG) techniques. PG refers to a collection of imaging methods based on the combination of different controlled polarization channels. In particular , we show how using the... more

We present mathematical formulas generalizing polarization gating (PG) techniques. PG refers to a collection of imaging methods based on the combination of different controlled polarization channels. In particular , we show how using the measured Mueller matrix (MM) of a sample, a widespread number of PG configurations can be evaluated just from analytical expressions based on the MM coefficients. We also show the interest of controlling the helicity of the states of polarization used for PG-based metrology, as this parameter has an impact in the image contrast of samples. In addition, we highlight the interest of combining PG techniques with tools of data analysis related to the MM formalism, such as the well-known MM decompositions. The method discussed in this work is illustrated with the results of polarimetric measurements done on artificial phantoms and real ex-vivo tissues.

It has recently been demonstrated that a general three-dimensional (3D) polarization state cannot be considered an incoherent superposition of (1) a pure state, (2) a two-dimensional unpolarized state, and (3) a 3D unpolarized state [J.... more

It has recently been demonstrated that a general three-dimensional (3D) polarization state cannot be considered an incoherent superposition of (1) a pure state, (2) a two-dimensional unpolarized state, and (3) a 3D unpolarized state [J. J. Gil, Phys. Rev. A 90, 043858 (2014)]. This fact is intimately linked to the existence of 3D polarization states with fluctuating directions of propagation, but whose associated polarization matrices R satisfy rank R = 2. In this work, such peculiar states are analyzed and characterized, leading to a meaningful general classification and interpretation of 3D polarization states. Within this theoretical framework, the interrelations among the more significant polarization descriptors presented in the literature, as well as their respective physical interpretations, are studied and illustrated with examples, providing a better understanding of the structure of polarimetric purity of any kind of polarization state.

The Mueller matrices describing oblique incidence reflection and normal incidence transmission have been measured for sculptured thin films (STFs) by glancing angle deposition with simultaneous substrate rotation. In data reduction, the... more

The Mueller matrices describing oblique incidence reflection and normal incidence transmission have been measured for sculptured thin films (STFs) by glancing angle deposition with simultaneous substrate rotation. In data reduction, the 15 parameters of the (1,1)-normalized real Mueller matrix are converted to the six parameters of the (2,2)-normalized complex Jones matrix. Two computational methods yield excellent agreement in the real

We calculate all the elements of the Mueller matrix, which contains all the polarization properties of light scattered from a two-dimensional randomly rough lossy metal surface. The calculations are carried out for arbitrary angles of... more

We calculate all the elements of the Mueller matrix, which contains all the polarization properties of light scattered from a two-dimensional randomly rough lossy metal surface. The calculations are carried out for arbitrary angles of incidence by the use of nonperturbative numerical solutions of the reduced Rayleigh equations for the scattering of p- and s-polarized light from a two-dimensional rough penetrable surface. The ability to model polarization effects in light scattering from surfaces enables better interpretation of experimental data and allows for the design of surfaces which possess useful polarization effects.

We present mathematical formulas generalizing polarization gating (PG) techniques. PG refers to a collection of imaging methods based on the combination of different controlled polarization channels. In particular, we show how using the... more

We present mathematical formulas generalizing polarization gating (PG) techniques. PG refers to a collection of imaging methods based on the combination of different controlled polarization channels. In particular, we show how using the measured Mueller matrix (MM) of a sample, a widespread number of PG configurations can be evaluated just from analytical expressions based on the MM coefficients. We also show the interest of controlling the helicity of the states of polarization used for PG-based metrology, as this parameter has an impact in the image contrast of samples. In addition, we highlight the interest of combining PG techniques with tools of data analysis related to the MM formalism, such as the well-known MM decompositions. The method discussed in this work is illustrated with the results of polarimetric measurements done on artificial phantoms and real ex-vivo tissues.

We show, through visible-range Mueller polarimetry, as well as numerical simulations, that the depolarization in a homogeneous turbid medium consisting of submicron spherical particles follows a parabolic law with the pathlength traveled... more

We show, through visible-range Mueller polarimetry, as well as numerical simulations, that the depolarization in a homogeneous turbid medium consisting of submicron spherical particles follows a parabolic law with the pathlength traveled by light through the medium. This result is in full agreement with the phenomenological theory of the fluctuating medium within the framework of the differential Mueller matrix formalism.We further found that the standard deviations of the fluctuating elementary polarization properties of the medium depend linearly on the concentration of particles. These findings are believed to be useful for the phenomenological interpretation of polarimetric experiments, with special emphasis on biomedical applications.

ABSTRACT In the paper we present the results of investigating the effective birefringence of prototype photonic crystal fibre, partially infiltrated with “1550” liquid crystal mixture. We use the modified Mueller matrix method with an... more

ABSTRACT In the paper we present the results of investigating the effective birefringence of prototype photonic crystal fibre, partially infiltrated with “1550” liquid crystal mixture. We use the modified Mueller matrix method with an additional depolarization matrix to calculate degree of polarization changes of the light propagating in the liquid-crystal infiltrated microstructured optical fibres.We conducted the research for red and infrared semiconductor laser diodes. The research may lead to construction of temperature controlled depolarizer.

An analytical solution for the propagation equation of partially polarized light trough anisotropic media is reported. Our solution gives an explicit expression for the Mueller matrix of uniform non-depolarizing optical media. The state... more

An analytical solution for the propagation equation of partially polarized light trough anisotropic media is reported. Our solution gives an explicit expression for the Mueller matrix of uniform non-depolarizing optical media. The state of polarization of quasi-monochromatic partially polarized light is expressed by the Stokes vector. The medium is assumed to be homogeneous, linear and characterized by a differential Mueller matrix with arbitrary and combined effects of absorption and dispersion. The reported solution gives the general behavior of the state of polarization of light through any media with arbitrary and combined deterministic values of dichroism and birefringence, which has not been reported in the literature. The particular cases of media with pure dichroism or pure birefringence are also included in our formalism.

We derive the relationships between the elementary polarization properties describing a homogeneous medium within the framework of the differential Jones and Mueller formalisms from transmission polarimetry, and the permittivity tensor of... more

We derive the relationships between the elementary polarization properties describing a homogeneous medium within the framework of the differential Jones and Mueller formalisms from transmission polarimetry, and the permittivity tensor of the medium, assumed to be weakly anisotropic. The expressions are illustrated on selected examples and allowed to physically interpret experimental polarimetry data.

The scattering of electromagnetic waves from rough surfaces, random or otherwise, has been a well-studied subject by many years. A crucial step into the increasing interest on scattering theories has been done since a method of forming... more

The scattering of electromagnetic waves from rough surfaces, random or otherwise, has been a well-studied subject by many years. A crucial step into the increasing interest on scattering theories has been done since a method of forming optical diffusers of simple statistical ...

A new Mueller matrix polarimeter was used to image the retinas of normal subjects. Light from a linearly polarized 780 nm laser was passed through a system of variable retarders and scanned across the retina. Light returned from the eye... more

A new Mueller matrix polarimeter was used to image the retinas of normal subjects. Light from a linearly polarized 780 nm laser was passed through a system of variable retarders and scanned across the retina. Light returned from the eye passed through a second system of retarders and a polarizing beamsplitter to two confocal detection channels. Optimization of the polarimetric data reduction matrix was via a condition number metric. The accuracy and repeatability of polarization parameter measurements were within +/- 5%. The magnitudes and orientations of retardance and diattenuation, plus depolarization, were measured over 15 degrees of retina for 15 normal eyes.