Serial–parallel decompositions of Mueller matrices

Gil, José J.; José, Ignacio San; Ossikovski, Razvigor

doi:10.1364/josaa.30.000032

Cited by 42 publications

(30 citation statements)

References 29 publications

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“…A number of methods including Lu-Chipman's polar decomposition [31], reverse polar decomposition [116], symmetric decomposition [117], differential decomposition [118][119][120][121][122][123] and root decomposition [37,124], Mueller matrix transformation techniques [125][126][127][128][129][130][131], Cloude's sum decomposition [132], serial parallel decomposition [133], etc. have been developed.…”

Section: Interpretation Of Mueller Matrix Into Fundamental Polarizatimentioning

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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Section: Interpretation Of Mueller Matrix Into Fundamental Polarizatimentioning

confidence: 99%

Mueller polarimetric imaging for surgical and diagnostic applications: a review

2017

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“…An alternative interpretation of a 2D mixed state is achieved through the corresponding characteristic decomposition (33) where p Φ represents a 2D pure state and u Φ represents a 2D unpolarized state, both propagating along the same direction O Z . This is the well-known two-dimensional form of the characteristic decomposition.…”

Section: Characteristic Decompositionmentioning

confidence: 99%

Interpretation of the coherency matrix for three-dimensional polarization states

Gil

2014

Phys. Rev. A

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From an appropriate parameterization of the three-dimensional (3D) coherency matrix R, that characterizes the second-order, classical states of polarization, the coherency matrices are classified and interpreted in terms of incoherent decompositions. The relevant physical quantities derived from R, as the intensity, the degree of polarimetric purity, the indices of polarimetric purity, the angular momentum, the degree of directionality and the degree of linear polarization are identified and interpreted on the light of the case study performed. The information provided by R about the direction of propagation is clarified and it is found that coherency matrices with rank 2  R , does not always represent states with a well-defined direction of propagation. Moreover, it is demonstrated the existence of 3D mixed states that cannot be decomposed into a superposition of a pure state, a 2D unpolarized state, and a 3D unpolarized state. Appropriate representation and interpretation for all the different types of 3D coherency matrices is provided through physical consistent criteria. Under the approach proposed, the conventional two-dimensional model arises naturally.

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“…In recent years, a variety of Mueller matrix decomposition methods have been proposed. 16,[39][40][41][42] The very first approach that was successfully applied to bulk biological tissues was Lu-Chipman polar decomposition. 16 As the flow chart in Fig.…”

Section: Mueller Matrix Polarimetry In Bulk Tissuesmentioning

confidence: 99%