Experimental evidence for naturally occurring nondiagonal depolarizers

Ossikovski, Razvigor; Foldyna, Martin; Fallet, Clément; Martino, A. De

doi:10.1364/ol.34.002426

Cited by 24 publications

(20 citation statements)

References 5 publications

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“…It is noted that the symmetric decomposition cannot be applied for a special class of Mueller matrices known as non-Stokes diagonalizable Mueller matrices [117,140,141].…”

Section: Factor Product Decompositionmentioning

confidence: 99%

Mueller polarimetric imaging for surgical and diagnostic applications: a review

2017

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Polarization is a fundamental property of light and a powerful sensing tool that has been applied to many areas. A Mueller matrix is a complete mathematical description of the polarization characteristics of objects that interact with light, and is known as a transfer function of Stokes vectors which characterise the state of polarization of light. Mueller polarimetric imaging measures Mueller matrices over a field of view and thus allows for visualising the polarization characteristics of the objects. It has emerged as a promising technique in recent years for tissue imaging, improving image contrast and providing a unique perspective to reveal additional information that cannot be resolved by other optical imaging modalities. This review introduces the basis of the Stokes-Mueller formulism, interpretation methods of Mueller matrices into fundamental polarization properties, polarization properties of biological tissues, and considerations in the construction of Mueller polarimetric imaging devices for surgical and diagnostic applications, including primary configurations, optimization procedures, calibration methods as well as the instrument polarization properties of several widelyused biomedical optical devices. The paper also reviews recent progress in Mueller polarimetric endoscopes and fibre Mueller polarimeters, followed by the future outlook in applying the technique to surgery and diagnostics. Tissue polarization properties convey morphological, micro-structural and compositional information of tissue with great potential for label free characterization of tissue pathological changes. Recent progress in tissue polarimetric imaging and polarization resolved endoscopy paved the way for translation of polarimetric imaging to surgery and tissue diagnosis.

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“…It is noted that the symmetric decomposition cannot be applied for a special class of Mueller matrices known as non-Stokes diagonalizable Mueller matrices [117,140,141].…”

Section: Factor Product Decompositionmentioning

confidence: 99%

Mueller polarimetric imaging for surgical and diagnostic applications: a review

2017

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“…In the example on decomposition of data from C. aurata presented in the result section, a Cloude decomposition results in two non-zero λ i 's and a fit can be performed with the two fit parameters α and β assuming γ = δ = 0. Furthermore an eigenvector analysis, as well as images of C. aurata [11], suggests the use of an ideal mirror and a left-handed circular polarizer as the corresponding M i 's. If the sum constraint α +β +γ + δ = 1 also is used only α will be a fit parameter in the regression as β follows from β = 1 − α in this case.…”

Section: Regression Decompositionmentioning

confidence: 99%

“…An interesting observation is that M in Eq. (9) represents a non-diagonal depolarizer [11,19] and is also referred to as a Stokes non-diagonalizable Mueller matrix. Such depolarizers will depolarize all incident states except one.…”

Section: Cloude Decomposition Of Measured Mueller-matrix Spectramentioning

confidence: 99%

“…All other states will be depolarized. Samples with such Mueller matrices are rare as pointed out by Ossikovski et al [11].…”

Section: Cloude Decomposition Of Measured Mueller-matrix Spectramentioning

confidence: 99%

“…In a second example two of three regions were first analyzed separately and then the properties of the third one could be retrieved. Another example of the use of sum decomposition was demonstrated by Ossikovski et al [11]. They analyzed reflection Mueller-matrix images from the scarab beetle Cetonia aurata which was proven to reflect light as a non-diagonal depolarizer.…”

Section: Introductionmentioning

confidence: 99%

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Sum decomposition of Mueller-matrix images and spectra of beetle cuticles

Arwin¹,

Magnusson²,

Garcia-Caurel³

et al. 2015

Opt. Express

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Abstract:Spectral Mueller matrices measured at multiple angles of incidence as well as Mueller matrix images are recorded on the exoskeletons (cuticles) of the scarab beetles Cetonia aurata and Chrysina argenteola. Cetonia aurata is green whereas Chrysina argenteola is gold-colored. When illuminated with natural (unpolarized) light, both species reflect left-handed and near-circularly polarized light originating from helicoidal structures in their cuticles. These structures are referred to as circular Bragg reflectors. For both species the Mueller matrices are found to be nondiagonal depolarizers. The matrices are Cloude decomposed to a sum of non-depolarizing matrices and it is found that the cuticle optical response, in a first approximation can be described as a sum of Mueller matrices from an ideal mirror and an ideal circular polarizer with relative weights determined by the eigenvalues of the covariance matrices of the measured Mueller matrices. The spectral and image decompositions are consistent with each other. A regression-based decomposition of the spectral and image Mueller matrices is also presented whereby the basic optical components are assumed to be a mirror and a circular polarizer as suggested by the Cloude decomposition. The advantage with a regression decomposition compared to a Cloude decomposition is its better stability as the matrices in the decomposition are determined a priori. The origin of the depolarizing features are discussed but from present data it is not possible to conclude whether the two major components, the mirror and the circular polarizer are laterally separated in domains in the cuticle or if the depolarization originates from the intrinsic properties of the helicoidal structure.

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