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多分散、随机取向的有限圆柱体对光的散射

Scattering of light by polydisperse, randomly oriented, finite circular cylinders.

作者信息

Mishchenko M I, Travis L D, Macke A

出版信息

Appl Opt. 1996 Aug 20;35(24):4927-40. doi: 10.1364/AO.35.004927.

Abstract

We use the T-matrix method, as described by Mishchenko [Appl. Opt. 32, 4652 (1993)], to compute rigorously light scattering by finite circular cylinders in random orientation. First we discuss numerical aspects of T -matrix computations specific for finite cylinders and present results of benchmark computations for a simple cylinder model. Then we report results of extensive computations for polydisperse, randomly oriented cylinders with a refractive index of 1.53 + 0.008i, diameter-to-length ratios of 1/2, 1/1.4, 1, 1.4, and 2, and effective size parameters ranging from 0 to 25. These computations parallel our recent study of light scattering by polydisperse, randomly oriented spheroids and are used to compare scattering properties of the two classes of simple convex particles. Despite the significant difference in shape between the two particle types (entirely smooth surface for spheroids and sharp rectangular edges for cylinders), the comparison shows rather small differences in the integral photometric characteristics (total optical cross sections, single-scattering albedo, and asymmetry parameter of the phase function) and the phase function. The general patterns of the other elements of the scattering matrix for cylinders and aspect-ratio-equivalent spheroids are also qualitatively similar, although noticeable quantitative differences can be found in some particular cases. In general, cylinders demonstrate much less shape dependence of the elements of the scattering matrix than do spheroids. Our computations show that, like spheroids and bispheres, cylinders with surface-equivalent radii smaller than a wavelength can strongly depolarize backscattered light, thus suggesting that backscattering depolarization for nonspherical particles cannot be universally explained by using only geometric-optics considerations.

摘要

我们采用米先科[《应用光学》32, 4652 (1993)]所描述的T矩阵方法,来严格计算随机取向的有限长圆柱体的光散射。首先,我们讨论有限长圆柱体T矩阵计算的数值方面,并给出一个简单圆柱体模型的基准计算结果。然后,我们报告了对折射率为1.53 + 0.008i、直径与长度比为1/2、1/1.4、1、1.4和2且有效尺寸参数范围为0至25的多分散随机取向圆柱体进行的大量计算结果。这些计算与我们最近对多分散随机取向球体光散射的研究类似,用于比较这两类简单凸粒子的散射特性。尽管这两种粒子类型在形状上有显著差异(球体表面完全光滑,圆柱体有尖锐的矩形边缘),但比较结果表明,在积分光度特性(总光学截面、单次散射反照率和相位函数的不对称参数)和相位函数方面差异相当小。圆柱体和纵横比等效球体的散射矩阵其他元素的一般模式在定性上也相似,尽管在某些特定情况下可以发现明显的定量差异。一般来说,圆柱体散射矩阵元素的形状依赖性比球体小得多。我们的计算表明,与球体和双球体一样,表面等效半径小于波长的圆柱体可以强烈地使后向散射光去极化,因此表明仅用几何光学考虑不能普遍解释非球形粒子的后向散射去极化现象。

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