Department of Physical Sciences, Indian Institute of Science Education and Research-Kolkata, Mohanpur Campus, Nadia 741252, India.
J Biomed Opt. 2012 Oct;17(10):105006. doi: 10.1117/1.JBO.17.10.105006.
Development of methodologies for quantification/unique interpretation of the intrinsic polarimetry characteristics of biological tissues are important for various applications involving tissue characterization/diagnosis. A detailed comparative evaluation of the polar decomposition and the differential matrix decomposition of Mueller matrices for extraction/quantification of the intrinsic polarimetry characteristics (with special emphasis on linear retardance δ, optical rotation Ψ and depolarization Δ parameters was performed, because these are the most prominent tissue polarimetry effects) from complex tissue-like turbid media exhibiting simultaneous scattering and polarization effects. The results suggest that for media exhibiting simultaneous linear retardance and optical rotation polarization events, the use of retarder polar decomposition with its associated analysis which assumes sequential occurrence of these effects, results in systematic underestimation of δ and overestimation of Ψ parameters. Analytical relationships between the polarization parameters (δ, Ψ) extracted from both the retarder polar decomposition and the differential matrix decomposition for either simultaneous or sequential occurrence of the linear retardance and optical rotation effects were derived. The self-consistency of both decompositions is validated on experimental Mueller matrices recorded from tissue-simulating phantoms (whose polarization properties are controlled, known a-priori, and exhibited simultaneously) of increasing biological complexity. Additional theoretical validation tests were performed on Monte Carlo-generated Mueller matrices from analogous turbid media exhibiting simultaneous depolarization (Δ), linear retardance (δ) and optical rotation (Ψ) effects. After successful evaluation, the potential advantage of the differential matrix decomposition over the polar decomposition formalism was explored for monitoring of myocardial tissue regeneration following stem cell therapy.
发展用于量化/独特解释生物组织固有偏振特性的方法对于涉及组织特征/诊断的各种应用非常重要。对穆勒矩阵的偏振分解和差分矩阵分解进行了详细的比较评估，以从同时表现散射和偏振效应的复杂类组织混浊介质中提取/量化固有偏振特性（特别强调线性延迟δ、光学旋转 Ψ 和去偏振 Δ 参数）。结果表明，对于同时表现线性延迟和光学旋转偏振事件的介质，使用带有相关分析的延迟器偏振分解，假设这些效应的顺序发生，会导致对 δ 参数的系统低估和对 Ψ 参数的高估。从延迟器偏振分解和差分矩阵分解中提取的偏振参数（δ、Ψ）之间的分析关系对于线性延迟和光学旋转效应的同时或顺序发生进行了推导。两种分解的自洽性在具有增加的生物复杂性的组织模拟体模（其偏振特性是受控的、事先已知的并且同时表现出的）中记录的实验穆勒矩阵上进行了验证。在具有同时去偏振（Δ）、线性延迟（δ）和光学旋转（Ψ）效应的类似混浊介质的蒙特卡罗生成的穆勒矩阵上进行了额外的理论验证测试。成功评估后，探讨了差分矩阵分解相对于偏振分解形式的潜在优势，用于监测干细胞治疗后心肌组织再生。
