Journal ArticleDOI
Characteristic properties of Mueller matrices
TLDR
A complete and minimum set of necessary and sufficient conditions for a real 4 x 4 matrix to be a physical Mueller matrix is obtained and an additional condition is presented to complete the set of known conditions.Abstract:
A complete and minimum set of necessary and sufficient conditions for a real 4×4 matrix to be a physical Mueller matrix is obtained. An additional condition is presented to complete the set of known conditions, namely, the four conditions obtained from the nonnegativity of the eigenvalues of the Hermitian matrix H associated with a Mueller matrix M and the transmittance condition. Using the properties of H, a demonstration is also presented of Tr(MTM)=4m002 as being a necessary and sufficient condition for a physical Mueller matrix to be a pure Mueller matrix.read more
Citations
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Journal ArticleDOI
Tissue polarimetry: concepts, challenges, applications, and outlook
TL;DR: A summary of issues pertinent to the polarized light methodologies in tissues, including polarized light basics, Stokes-Muller formalism, methods of polarization measurements, polarized light modeling in turbid media, applications to tissue imaging, inverse analysis for polarimetric results quantification, Applications to quantitative tissue assessment, etc.
Patent
Apparatus and method for ranging and noise reduction of low coherence interferometry LCI and optical coherence tomography OCT signals by parallel detection of spectral bands
TL;DR: In this paper, a method for increasing the sensitivity in the detection of optical coherence tomography and low coherence interferometry (LCI) signals by detecting a parallel set of spectral bands, each band being a unique combination of optical frequencies, is presented.
Patent
Method and apparatus for performing optical imaging using frequency-domain interferometry
TL;DR: In this article, the first and/or second electro-magnetic radiations have a spectrum whose mean frequency changes substantially continuously over time at a tuning speed that is greater than 100 Tera Hertz per millisecond.
Patent
System and method for optical coherence imaging
TL;DR: In this paper, a system and method for imaging of a sample, e.g., biological sample, are provided, where at least one source electro-magnetic radiation forwarded to the sample and a reference may be generated.
PatentDOI
Speckle reduction in optical coherence tomography by path length encoded angular compounding
TL;DR: In this paper, the angular compounding by path length encoding (ACPE) algorithm is proposed to reduce speckle in OCT images by averaging images obtained at different incident angles, with each image encoded by the path length.
References
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Book
Matrix Analysis
Roger A. Horn,Charles R. Johnson +1 more
TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
Book
Ellipsometry and polarized light
TL;DR: In this article, the polarization of light waves and propagation of polarized light through polarizing optical systems are discussed. But the authors focus on the application of ellipsometry in the field of measurement in ellipsometer systems.
Journal ArticleDOI
A new calculus for the treatment of optical systems. IV
TL;DR: In this article, the general theory developed in Part I and the derivation of the matrices representing two optical elements which were not treated in Parts II and III are discussed. But the discussion is limited to monoclinic and triclinic crystals which do not possess optical activity.
Journal Article
Group theory and polarisation algebra
TL;DR: In this paper, the authors propose an approach unifiee a l'algebre de la polarisation en utilisant les groupes unitaires speciaux SU(2) et SU(4) and leurs homomorphismes respectifs.
Journal ArticleDOI
Coherence properties of partially polarized electromagnetic radiation
TL;DR: In this paper, it was shown that the maximum value of Gabor's analytic signal is equal to the degree of polarization of a quasi-monochromatic light wave and that its maximum value depends on the choice of the two orthogonal directions.
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