Abstract
By conducting both the experiments on samples containing well-aligned fibers and Monte Carlo simulations based on the sphere cylinder scattering model (SCSM), we present a Mueller matrix transformation (MMT) method for quantitatively characterizing the properties of anisotropic scattering media. We obtained a set of parameters by fitting the Mueller matrix elements to trigonometric curves in polar coordinates. These new parameters can be expressed as analytical functions of the Mueller matrix elements and display simple relationships to the structural and optical properties of the anisotropic scattering media, such as the anisotropy, the direction of the fibers, and the sizes of the scatterers. Experimental results on biological tissues show that these new parameters can be used in biomedical research. However, further studies are still necessary to correlate the MMT parameters to pathological features.
Zusammenfassung
Mit der Durchführung von Experimenten an Proben mit gut ausgerichteten Fasern sowie von Monte-Carlo-Simulationen basierend auf dem Kugel-Zylinder-Streumodell (sphere cylinder scattering model, SCSM) wird eine Müller-Matrix-Transformations (MMT)-Methode zur quantitativen Charakterisierung der Eigenschaften von anisotropen Streumedien vorgestellt. Durch die Anpassung („Fit“) der Müller-Matrix-Elemente an trigonometrische Kurven in Polarkoordinaten erhält man eine Vielzahl von Parametern. Diese neuen Parameter können als analytische Funktion der Müller-Matrix-Elemente ausgedrückt werden und zeigen einfache Beziehungen zu den strukturellen und optischen Eigenschaften des anisotropen Streumediums, wie z.B. der Anisotropie, der Richtung der Fasern und der Größe der Streuer. Experimentelle Ergebnisse an biologischen Geweben zeigen, dass diese neuen Parameter in der biomedizinischen Forschung verwendet werden können. Dennoch sind weitere Studien notwendig, um die MMT-Parameter mit pathologischen Merkmalen zu korrelieren.
This work was supported by the National Natural Science Foundation of China (NSFC) Grants No. 10974114, 11174178, 41106034, 61205199, and Open Fund of Key Laboratory of Optoelectronic Information and Sensing Technologies of Guangdong Higher Education Institutes, Jinan University.
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