有限项对Mie级数截断误差的影响
Effect of finite terms on the truncation error of Mie series
摘要：
Mie系数平方的有限和对于解决经典光散射问题非常有用。在文献中可用的近似公式，并仍在使用的今天，已被开发，以确定先验的最重要的条款，需要评估的散射截面的数量。在这里，我们得到了一个改进的公式，它包括所需的条款数量确定散射截面在规定的相对误差。这是使用扩展精度计算来完成的，适用于广泛的常用尺寸参数和折射率。有限项的修正公式可以有效地模拟光散射现象的一个有前途的和有价值的方法。
英文摘要：
The finite sum of the squares of the Mie coefficients is very useful for addressing problems of classical light scattering. An approximate formula available in the literature, and still in use today, has been developed to determine a priori the number of the most significant terms needed to evaluate the scattering cross section. Here we obtain an improved formula, which includes the number of terms needed for determining the scattering cross section within a prescribed relative error. This is accomplished using extended precision computation, for a wide range of commonly used size parameters and indexes of refraction. The revised formula for the finite number of terms can be a promising and valuable approach for efficient modeling light scattering phenomena.
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