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首页> 外文期刊>Applied optics >Development of a light scattering solver applicable to particles of arbitrary shape on the basis of the surface-integral equations method of Muller type. I. Methodology, accuracy of calculation, and electromagnetic current on the particle surface
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Development of a light scattering solver applicable to particles of arbitrary shape on the basis of the surface-integral equations method of Muller type. I. Methodology, accuracy of calculation, and electromagnetic current on the particle surface

机译：根据Muller型的表面积分方程法，开发适用于任意形状的粒子的光散射求解器。 I.方法，计算精度和粒子表面的电磁电流

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摘要

We develop a numerical algorithm for calculating the light-scattering properties of small particles of arbitrary shape on the basis of a method involving surface integral equations. The calculation error was estimated by performing a comparison between the proposed method and the exact Mie method with regard to the extinction efficiency factor, and the results show that the error is less than 1percent when four or more nodes per wavelength are set on the surface of a spherical particle. The accuracy fluctuates in accordance with the distribution of nodal points on the particle surface with respect to the direction of propagation of the incident light. From our examinations, it is shown that the polar incidence alignment yields higher accuracy than equator incidence when a "latitude-longitude" type of mesh generation is adopted. The electric currents on the particle surface and the phase functions of all scattering directions are shown for particles shaped as spheres or hexagonal columns. It is shown that the phase function for a hexagonal column has four or eight cold spots. The phase function of a randomly oriented hexagonal column shows halolike peaks with size parameters of up to 20. This method can be applied to particles with a size parameter of up to about 20 without using the symmetry characteristic of the particle.
机译：我们基于涉及表面积分方程的方法，开发了一种用于计算任意形状的小颗粒的光散射特性的数值算法。通过比较所提出的方法和精确的Mie方法的消光效率因子来估算计算误差，结果表明，当在每个波长的表面上设置四个或更多节点时，该误差小于1％。球形颗粒。精度根据相对于入射光的传播方向的粒子表面上的节点的分布而变化。从我们的检查中可以看出，当采用“纬度-经度”类型的网格生成时，极角入射对准比赤道入射具有更高的精度。对于形状为球形或六角柱形的粒子，显示了粒子表面上的电流和所有散射方向的相位函数。结果表明，六角柱的相函数具有四个或八个冷点。随机定向的六方柱的相位函数显示出具有最多20个尺寸参数的类晕峰，该方法可应用于尺寸参数最多约为20的颗粒，而无需使用颗粒的对称特性。

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