Mueller Matrix Analysis, Decompositions, and Novel Quantitative Approaches to Processing Complex Polarimetric Data

Arteaga, Oriol; Ossikovski, Razvigor

doi:10.1007/978-3-031-04741-1_2

Cited by 4 publications

(6 citation statements)

References 51 publications

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“…which is in agreement with theoretical predictions resulted from assuming an ensemble of single scatterers each of them having a reciprocal Mueller-Jones matrix [79,80]. Therefore, this result is consistent with the PDFs shown in Fig.…”

Section: Distribution Of the Thz Polarization Statessupporting

confidence: 92%

“…5 . When

is also satisfied, the Mueller matrix can be rewritten into a simple form, by substituting

and

with symbol

and

, respectively, given by,

where

This legacy form of the Mueller matrix has been substantiated for the backscattering from non-chiral particles with a rotational symmetry in a cloud of particles [ 80 , 81 ]. This matrix can be decomposed as a uniform attenuator, i.e., parameter

, and a nonuniform partial depolarizer, i.e., diag[1, p, -p, 1–2p] [ 82 ].…”

Section: Resultsmentioning

confidence: 99%

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Terahertz polarimetric imaging of biological tissues: Monte Carlo modeling of signal contrast mechanisms due to Mie scattering

Xu,

Arbab

2023

Preprint

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Many promising biomedical applications have been proposed for terahertz (THz) spectroscopy and diagnostic imaging techniques. Polarimetric imaging systems are generally useful for enhancing imaging contrasts, yet the interplay between THz polarization changes and the random discrete structures in biological samples are not well understood. In this work, we performed Monte Carlo simulations of the propagation of polarized THz waves in skin and adipose tissues based on the Mie scattering from intrinsic structures, such as hair follicles or sweat glands. We show that the polarimetric contrasts are distinctly affected by concentration, size and dielectric properties of the scatterers, as well as the frequency and polarization of the incident THz waves. We describe the experimental requirements for observing and extracting these polarimetric signals due to the low energy and small angular spread of the back-scattered THz radiation. We analyzed the spatially integrated Mueller matrices of samples in the normal-incidence back-scattering geometry. We show that the frequency-dependent degree of polarization (DOP) can be used to infer the concentrations and dielectric contents of the scattering structures. Our modeling approach can be used to inform the design of the imaging modalities and the interpretation of the spectroscopic data in future terahertz biomedical imaging applications.

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Section: Distribution Of the Thz Polarization Statessupporting

confidence: 92%

“…5 . When

is also satisfied, the Mueller matrix can be rewritten into a simple form, by substituting

and

with symbol

and

, respectively, given by,

where

, and a nonuniform partial depolarizer, i.e., diag[1, p, -p, 1–2p] [ 82 ].…”

Section: Resultsmentioning

confidence: 99%

Terahertz polarimetric imaging of biological tissues: Monte Carlo modeling of signal contrast mechanisms due to Mie scattering

Xu,

Arbab

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Here, we note that M is a diagonal matrix and it complies with the additional condition that

which agrees with theoretical predictions resulted from assuming an ensemble of single scatterers, each of them having a reciprocal Mueller-Jones matrix [ 80 , 81 ]. Therefore, this result is consistent with the PDFs shown in Fig.…”

Section: Resultssupporting

confidence: 71%

“…When

is also satisfied, the Mueller matrix can be rewritten by substituting

and

with symbol

and

, respectively, leading to,

2112

where

. This legacy form of the Mueller matrix has been substantiated for the back-scattering from non-chiral particles with a rotational symmetry in a cloud of particles [ 81 , 82 ]. This matrix can be decomposed as a uniform attenuator, i.e., parameter

, and a nonuniform partial depolarizer, i.e.,

112

[ 83 ].…”

Section: Resultsmentioning

confidence: 93%

Terahertz polarimetric imaging of biological tissue: Monte Carlo modeling of signal contrast mechanisms due to Mie scattering

Xu,

Arbab

2024

Biomed. Opt. Express

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Many promising biomedical applications have been proposed for terahertz (THz) spectroscopy and diagnostic imaging techniques. Polarimetric imaging systems are generally useful for enhancing imaging contrasts, yet the interplay between THz polarization changes and the random discrete structures in biological samples is not well understood. In this work, we performed Monte Carlo simulations of the propagation of polarized THz waves in skin and adipose tissues based on the Mie scattering from intrinsic structures, such as hair follicles or sweat glands. We show that the polarimetric contrasts are distinctly affected by concentration, size and dielectric properties of the scatterers, as well as the frequency and polarization of the incident THz waves. We describe the experimental requirements for observing and extracting these polarimetric signals due to the low energy and small angular spread of the back-scattered THz radiation. We analyzed the spatially integrated Mueller matrices of samples in the normal-incidence back-scattering geometry. We show that the frequency-dependent degree of polarization (DOP) can be used to infer the concentrations and dielectric contents of the scattering structures. Our modeling approach can be used to inform the design of the imaging modalities and the interpretation of the spectroscopic data in future terahertz biomedical imaging applications.

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“…Numerical algorithms for calculating the matrix logarithm are readily available in modern programming software packages. For most depolarizing measurements in the backscattering configuration there exists no real matrix logarithm unless the sign of the last two rows is flipped by left‐multiplying the experimental Mueller matrices measured in the backscattering configuration by the diagonal matrix

diag (1, 1, - 1, - 1)

[29]. With this transformation of the measured matrix, the form of the matrix is made to resemble those measured in transmission, and the matrix logarithm can routinely be applied.…”

Section: Methodsmentioning

confidence: 99%

Wide‐field Mueller matrix polarimetry for spectral characterization of basic biological tissues: Muscle, fat, connective tissue, and skin

Pardo,

Bian,

Gomis‐Brescó

et al. 2023

Journal of Biophotonics

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This study investigates the polarimetric properties of skin, skeletal muscle, connective tissue, and fat using Mueller matrix imaging. It aims to compare the polarimetric characteristics of these tissues and explore how they evolve with wavelength. Additionally, the temporal evolution of certain tissues during meat aging is studied, providing insights into the dynamic behavior of polarimetric properties over time. The research employs back‐scattering configuration and the differential decomposition analysis method of Mueller matrix images. Both in‐vivo and ex‐vivo experiments were conducted using a consistent instrument setup to ensure reliable analysis. The results reveal wavelength‐dependent variations in tissue properties, including an increase in depolarization with wavelength. Significant differences in the polarimetric characteristics of meat tissues, particularly for skeletal muscle, are observed. Over a 24‐hour period, intensity, diattenuation, and retardation experience alterations, being the decreased retardation in skeletal muscle and the increased retardation in fat the most notable ones.This article is protected by copyright. All rights reserved.

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Mueller Matrix Analysis, Decompositions, and Novel Quantitative Approaches to Processing Complex Polarimetric Data

Cited by 4 publications

References 51 publications

Terahertz polarimetric imaging of biological tissues: Monte Carlo modeling of signal contrast mechanisms due to Mie scattering

Terahertz polarimetric imaging of biological tissues: Monte Carlo modeling of signal contrast mechanisms due to Mie scattering

Terahertz polarimetric imaging of biological tissue: Monte Carlo modeling of signal contrast mechanisms due to Mie scattering

Wide‐field Mueller matrix polarimetry for spectral characterization of basic biological tissues: Muscle, fat, connective tissue, and skin

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