Scattering problem by one cylinder whose radius is comparable to incident wavelength can be solved by Mie theorem. Due to complicated multiple scattering, scattering characteristics by two adjacent cylinders cannot be easily expounded. In this paper, high-accuracy non-standard finite-difference time domain (NS-FDTD) method is utilized to simulate electromagnetic field scattered by two nano-sized circular cylinders. Scattering intensities calculated by the NS-FDTD method demonstrate distinct polarization-dependence feature which can be explained by interference analyses including first-order and second-order scattering. The interference analyses indicate that the two-cylinder scattering problem in the transverse magnetic mode can be approximately solved by one-cylinder Mie scattering solution superposed with a first-order interference term, whereas both first-order and second-order interference should be considered into the superposition term in the transverse electric mode.

中文翻译：

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使用NS-FDTD方法和干涉分析模拟两个纳米圆柱体的光散射

用米氏定理可以解决半径等于入射波长的一个圆柱体的散射问题。由于复杂的多重散射，两个相邻圆柱体的散射特性不易解释。本文采用高精度非标准时域有限差分法（NS-FDTD）来模拟由两个纳米大小的圆柱体散射的电磁场。通过NS-FDTD方法计算的散射强度表现出明显的偏振相关性，这可以通过包括一阶和二阶散射的干涉分析来解释。干扰分析表明，通过叠加一阶干扰项的单缸米氏散射解，可以近似解决横向磁模式下的两缸散射问题，