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Light scattering on Chebyshev particles of higher order

机译：在高阶切比雪夫粒子上的光散射

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摘要

We present what we believe to be the first results of a light-scattering analysis on several Chebyshev particles characterized by higher orders. Chebyshev particles of comparatively lower orders were used in the past to study the effects of nonspherical but concave geometries in remote sensing applications. We will show that, based on the developed methodology, accurate results can also be obtained for particles of higher orders exhibiting a more pronounced surface waviness. The achieved results demonstrate that higher-order Chebyshev particles can be used to estimate the influence of a weak surface roughness on the light-scattering behavior of the underlying smooth scatterer. The effects obtained correspond with the results of other approaches and with the theoretical expectations of a weak surface roughness. In contrast to what is known for regular particles, there can be observed an essential difference between the phase functions of the underlying spherical scatterer and the corresponding higher-order Chebyshev particle if a higher absorptivity of the scattering medium is considered. This paper demonstrates additionally that Chebyshev polynomials can be simply combined with smooth geometries other than spheres.
机译：我们介绍了我们认为是对一些具有较高阶次的切比雪夫粒子进行光散射分析的第一个结果。过去使用较低阶次的切比雪夫粒子来研究非球形但凹入的几何形状在遥感应用中的影响。我们将显示，基于开发的方法，对于显示更明显的表面波纹度的高阶粒子，也可以获得准确的结果。所获得的结果表明，高阶切比雪夫粒子可用于估计弱表面粗糙度对下面的平滑散射体的光散射行为的影响。获得的效果与其他方法的结果以及弱表面粗糙度的理论预期相对应。与常规粒子相反，如果考虑更高的散射介质吸收率，则可以观察到下面的球形散射体和相应的更高阶切比雪夫粒子的相函数之间存在本质差异。本文还证明了Chebyshev多项式可以简单地与球体以外的光滑几何体组合。

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