光学学报, 2006, 26 (3): 419, 网络出版: 2006-04-20
混浊介质中后向单次漫散射米勒矩阵特征
Characteristic of Diffuse Backward Single-Scattering Mueller Matrices in Turbid Media
医用光学与生物技术 漫散射米勒矩阵 偏振 混浊介质 medical optics and biotechnology diffuse scatlering Mueller matrices polarization turbid media
摘要
采用斯托克斯(Stokes)矢量形式,推导出当无限窄的连续光束垂直入射到混浊介质表面时,后向单次漫散射米勒(Mueller)矩阵的解析表达式。基于米氏(Mie)散射模式,详细分析了单次散射米勒矩阵元素的分布模式,以及与介质粒子数密度,粒子尺寸参量之间的关系。研究表明:单次散射米勒矩阵的方位变化随粒子数密度的增加,逐渐消失,而矩阵元素m22,m33,m23,m32随粒子数密度的变化,具有更显著的方位变化特征。矩阵元素m22,m33在方位角=45°时的值随尺寸参量的变化有一定的规律性,当尺寸参量小于某一特征参量时,其值呈下降趋势,反之则呈波动上升趋势。当介质粒子数密度以及粒子尺寸参量改变时,米勒矩阵元素强度的径向分布模式不变,即在任何方位,强度随径向距离都近似成指数规律衰减,方位变化呈周期性。
Abstract
Single-scattering diffuse backscattering Mueller matrices expressions based on Stokes vectors of the backscattered light are derived when a narrow pencillike beam is perpendicular to the surface of the plane of turbid medium. Using Mie theory of light scattering, the characteristic distribution pattern of single-scattering Mueller matrices, and the correlation with particle number density and particle diameter are discussed. The results indicate that the azimuthal variations gradually disappear when the particle number density increases, and m22, m33, m23, m32 elements are the more pronounced azimuthal variation characteristic. For azimuthal angle =45°, m22 and m33 decrease with increasing particle size if particle size parameter is smaller than the characteristic parameter, otherwise, m22 and m33fluctuate and gradually increase. And when the particle size and particle number density are varied, all of the Mueller matrices elements intensity patterns' dependence on the radial are the same, exponential, decaying, for any azimuth angle.
邓勇, 骆清铭, 鲁强. 混浊介质中后向单次漫散射米勒矩阵特征[J]. 光学学报, 2006, 26(3): 419. 邓勇, 骆清铭, 鲁强. Characteristic of Diffuse Backward Single-Scattering Mueller Matrices in Turbid Media[J]. Acta Optica Sinica, 2006, 26(3): 419.