Physically Realizable Space for the Purity-Depolarization Plane for Polarized Light Scattering Media

Tariq, Anum; Li, Pengcheng; Chen, Dongsheng; Lv, Donghong; Ma, Hui

doi:10.1103/physrevlett.119.033202

Cited by 24 publications

(13 citation statements)

References 25 publications

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“…If the determinant of a Type-I canonical Mueller matrix is negative, then g 3 is negative. The region of negative g 3 seems to be associated with anomalous depolarization, which is known to be unlikely to occur but has been shown theoretically to be possible for Mie backscattering from spherical particles [76,88,90]. The region OABE corresponds 5Q 3 ∆ < 3P 2 ∆ (Equation ( 6)), or (trC) 3 − 6trC trC 2 + 8trC 3 < 0 [87].…”

Section: Barycentric Eigenvalue Spacementioning

confidence: 89%

Characterization of the Mueller Matrix: Purity Space and Reflectance Imaging

et al. 2022

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Depolarization has been found to be a useful contrast mechanism in biological and medical imaging. The Mueller matrix can be used to describe polarization effects of a depolarizing material. An historical review of relevant polarization algebra, measures of depolarization, and purity spaces is presented, and the connections with the eigenvalues of the coherency matrix are discussed. The advantages of a barycentric eigenvalue space are outlined. A new parameter, the diattenuation-corrected purity, is introduced. We propose the use of a combination of the eigenvalues of coherency matrices associated with both a Mueller matrix and its canonical Mueller matrix to specify the depolarization condition. The relationships between the optical and polarimetric radar formalisms are reviewed. We show that use of a beam splitter in a reflectance polarization imaging system gives a Mueller matrix similar to the Sinclair–Mueller matrix for exact backscattering. The effect of the reflectance is canceled by the action of the beam splitter, so that the remaining features represent polarization effects in addition to the reflection process. For exact backscattering, the Mueller matrix is at most Rank 3, so only three independent complex-valued measurements are obtained, and there is insufficient information to extract polarization properties in the general case. However, if some prior information is known, a reconstruction of the sample properties is possible. Some experimental Mueller matrices are considered as examples.

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Section: Barycentric Eigenvalue Spacementioning

confidence: 89%

Characterization of the Mueller Matrix: Purity Space and Reflectance Imaging

et al. 2022

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“…2c ); however, some concepts like anisotropy can be a combination of several fundamental polarisation processes 16 , 57 . It is worth mentioning that the depolarisation property—which is used for evaluating a SOP’s disorder, randomness, or uncertainty 3 – 5 —is also linked with the concept of entropy in polarimetric research 11 , 173 . While the above parameters are derived from a full MM (4 × 4); Ghosh et al and Wang et al also reported works on 3 × 3 MM decomposition methods, related simulations and experiments, with an emphasis on biomedical applications 174 , 175 .…”

Section: Vectorial Information Extraction Methods For Biomedical Applicationsmentioning

confidence: 99%

Polarisation optics for biomedical and clinical applications: a review

et al. 2021

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Many polarisation techniques have been harnessed for decades in biological and clinical research, each based upon measurement of the vectorial properties of light or the vectorial transformations imposed on light by objects. Various advanced vector measurement/sensing techniques, physical interpretation methods, and approaches to analyse biomedically relevant information have been developed and harnessed. In this review, we focus mainly on summarising methodologies and applications related to tissue polarimetry, with an emphasis on the adoption of the Stokes–Mueller formalism. Several recent breakthroughs, development trends, and potential multimodal uses in conjunction with other techniques are also presented. The primary goal of the review is to give the reader a general overview in the use of vectorial information that can be obtained by polarisation optics for applications in biomedical and clinical research.

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“…This is a very intuitive space because every possible depolarizer occupies a different spatial position in a tetrahedron inscribed within the Purity - Space [43, 47]. Thus, the physical interpretation of IPPs further synthesizes the depolarizing information of samples because every combination of IPPs is linked to a different depolarizing mechanism [45, 48] ― in contrast to the P Δ indicator, which gives an overall depolarizing estimation.…”

Section: Methodsmentioning

confidence: 99%

Depolarizing metrics for plant samples imaging

et al. 2019

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Optical methods, as fluorescence microscopy or hyperspectral imaging, are commonly used for plants visualization and characterization. Another powerful collection of optical techniques is the so-called polarimetry, widely used to enhance image contrast in multiple applications. In the botanical applications framework, in spite of some works have already highlighted the depolarizing print that plant structures left on input polarized beams, the potential of polarimetric methods has not been properly exploited. In fact, among the few works dealing with polarization and plants, most of them study light scattered by plants using the Degree of Polarization (DoP) indicator. Other more powerful depolarization metrics are nowadays neglected. In this context, we highlight the potential of different depolarization metrics obtained using the Mueller matrix (MM) measurement: the Depolarization Index and the Indices of Polarimetric Purity. We perform a qualitative and quantitative comparison between DoP- and MM-based images by studying a particular plant, the Hedera maroccana. We show how Mueller-based metrics are generally more suitable in terms of contrast than DoP-based measurements. The potential of polarimetric measurements in the study of plants is highlighted in this work, suggesting they can be applied to the characterization of plants, plant taxonomy, water stress in plants, and other botanical studies.

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Physically Realizable Space for the Purity-Depolarization Plane for Polarized Light Scattering Media

Cited by 24 publications

References 25 publications

Characterization of the Mueller Matrix: Purity Space and Reflectance Imaging

Characterization of the Mueller Matrix: Purity Space and Reflectance Imaging

Polarisation optics for biomedical and clinical applications: a review

Depolarizing metrics for plant samples imaging

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