亚微米尺度组织偏振光散射的多重分形各向异性
Submicron scale tissue multifractal anisotropy in polarized light scattering
摘要：
许多无序系统在分形或多重分形相关性以及由此产生的标度行为中表现出局部各向异性，这些特征包含了系统的丰富信息。在这里，我们证明了在一个随机介质，如生物组织的空间介电波动表现出这种多重分形各向异性，留下其独特的签名的光散射穆勒矩阵的波长变化，并表现为一个有趣的光谱双衰减效应。因此，我们已经开发了一种逆分析方法的量化的多重分形各向异性的散射米勒矩阵。该方法是基于处理相关的Mueller矩阵元素在傅立叶域使用玻恩近似，然后多重分形分析。该技术在人宫颈组织上的应用证明了多重分形各向异性参数作为筛选与癌前病变相关的细微微结构变化的新型生物标志物的潜力。通过多重分形各向异性参数在亚微米尺度上感测结构各向异性可能被证明是有价值的非侵入性表征的一类复杂材料和无序散射介质。
英文摘要：
A number of disordered systems exhibit local anisotropy in the fractal or multifractal correlation and in the resulting scaling behavior, which contain wealth of information on the system. Here, we demonstrate that the spatial dielectric fluctuations in a random medium like biological tissue exhibit such multifractal anisotropy, leaving its unique signature in the wavelength variation of the light scattering Mueller matrix and manifesting as an intriguing spectral diattenuation effect. We have thus developed an inverse analysis method for the quantification of the multifractal anisotropy from the scattering Mueller matrix. The method is based on processing the relevant Mueller matrix elements in Fourier domain using Born approximation followed by multifractal analysis. Application of this technique on tissues of human cervix ex vivo demonstrate the potential of the multifractal anisotropy parameters as novel biomarkers for screening subtle micro-structural changes associated with precancers. Sensing structural anisotropy in the sub-micron length scale via the multifractal anisotropy parameters may prove valuable for non-invasive characterization of a wide class of complex materials and disordered scattering media.
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