Abstract
Polarimetric optical techniques such as polarization microscopy or polarization-sensitive optical coherence tomography normally assume that light is perpendicular to the sample surface and that fibrils of a birefringent biological tissue are arranged in a plane parallel to this surface. The approaches that describe quantitatively polarimetric data from tissues with nonparallel fibril orientation and/or off-axis incidence usually lack a rigorous theoretical analysis. We present a polarimetric model with arbitrary fibril orientation and/or variable incidence angle by means of the extended Jones matrix theory, the polar decomposition, and Poincaré equivalence theorem. The model, suitable for diagnosis or tissue structure analysis, is applied to articular cartilage.
Highlights
Birefringent collagen-based biological tissues, such as tendons, ligaments, or cartilage [1], are sensitive to polarization optical techniques, such as polarized light microscopy (PLM) or polarization-sensitive optical coherence tomography (PS-OCT)
The quantitative evaluation of the results normally assumes that the incident radiation is perpendicular to the tissue surface and that the collagen fibrils of the birefringent tissue lie in a plane parallel to this surface
Some authors have recently tried to model the polarimetric response in this case with a single layer crystal with only one propagation vector in the supposed uniaxial medium, and whose optic axis is constrained to a particular plane [2]
Summary
Birefringent collagen-based biological tissues, such as tendons, ligaments, or cartilage [1], are sensitive to polarization optical techniques, such as polarized light microscopy (PLM) or polarization-sensitive optical coherence tomography (PS-OCT). The quantitative evaluation of the results normally assumes that the incident radiation is perpendicular to the tissue surface and that the collagen fibrils of the birefringent tissue lie in a plane parallel to this surface. This approach is not valid when the incident radiation is not perpendicular to the tissue and/or when the fibril orientation of the collagen inside is arbitrary, such as in full-field PS-OCT on curved structures.
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