Depolarizing Mueller matrices: how to decompose them?

Ossikovski, Razvigor; Anastasiadou, M.; Hatit, S. Ben; Garcia-Caurel, Enric; Martino, A. De

doi:10.1002/pssa.200777793

Cited by 63 publications

(37 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…It is noted that the order and the number of the equivalent elements in the decomposition models do have an influence in the interpreted depolarization, retardance and diattenuation properties [138]. Comparison studies of Lu-Chipman and reverse decomposition showed that these two methods yield consistent decomposition results providing that the magnitude of diattenuation of the medium is low [139].…”

Section: Factor Product Decompositionmentioning

confidence: 98%

Mueller polarimetric imaging for surgical and diagnostic applications: a review

2017

View full text Add to dashboard Cite

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.

show abstract

Section: Factor Product Decompositionmentioning

confidence: 98%

Mueller polarimetric imaging for surgical and diagnostic applications: a review

2017

View full text Add to dashboard Cite

show abstract

“…Decomposition of Mueller matrices are well described in the literature as reviewed by Ossikovski et al [5]. Here we address sum decomposition of depolarizing Mueller matrices.…”

Section: Introductionmentioning

confidence: 94%

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

Arwin¹,

Magnusson²,

Garcia-Caurel³

et al. 2015

Opt. Express

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…It has been shown that the other possible decompositions can be obtained from these two decompositions by using similarity transformations [66]. While, these two decomposition processes have been the most widely explored for analyzing tissue polarimetry signal, few other types of decomposition processes have also been proposed [67,68]. These include the symmetric decomposition developed by Ossikovski [67] and the sum decomposition, known as the Cloude decomposition [68].…”

Section: Quantitative Mueller Matrix Polarimetry Applied To Biomedicamentioning

confidence: 99%

“…While, these two decomposition processes have been the most widely explored for analyzing tissue polarimetry signal, few other types of decomposition processes have also been proposed [67,68]. These include the symmetric decomposition developed by Ossikovski [67] and the sum decomposition, known as the Cloude decomposition [68]. Nevertheless, once decomposed, the constituent 'basis' matrices are further analyzed to derive individual polarization medium properties, namely, linear retardance (δ, and its orientation angle θ), optical rotation (ψ), diattenuation (d) and depolarization coefficient (Δ) [33].…”

Section: Quantitative Mueller Matrix Polarimetry Applied To Biomedicamentioning

confidence: 99%

Turbid medium polarimetry in biomedical imaging and diagnosis

Ghosh

Banerjee

Soni

2011

Eur. Phys. J. Appl. Phys.

View full text Add to dashboard Cite

Abstract. Studies on polarization properties of scattered light from a random medium like biological tissue have received considerable attention because polarization can be used as an effective tool to discriminate against multiply scattered light (acting as a gating mechanism) and thus can facilitate high resolution imaging through tissue. Further, the polarization properties of scattered light from tissue contain wealth of morphological and functional information of potential biomedical importance. However, in a complex random medium like tissue, numerous complexities due to multiple scattering and simultaneous occurrences of many scattering and polarization events present formidable challenges both in terms of accurate measurements and in terms of analysis of the tissue polarimetry signal. Several studies have therefore been conducted in the recent past to develop appropriate measurement procedures, suitable light propagation models and polarimetry signal analysis methods to overcome these difficulties. In this review, we focus on some of the recent key developments in this area. Specifically, we describe variety of theoretical and experimental tools, illustrated with selected results, aimed at evaluating the prospect of turbid medium polarimetry for both biomedical imaging and diagnosis.

show abstract

Depolarizing Mueller matrices: how to decompose them?

Cited by 63 publications

References 20 publications

Mueller polarimetric imaging for surgical and diagnostic applications: a review

Mueller polarimetric imaging for surgical and diagnostic applications: a review

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

Turbid medium polarimetry in biomedical imaging and diagnosis

Contact Info

Product

Resources

About