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arXiv 0909.3323physics.optics
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单障碍物光散射Fano共振的时间耦合模理论

Temporal coupled-mode theory for Fano resonance in light scattering by a single obstacle

Zhichao Ruan, Shanhui Fan

摘要:

基于时间耦合模理论,提出了单个障碍物光散射中的Fano干涉理论。该理论适用于比入射波长小得多的障碍物,或具有二维圆柱或三维球对称的系统。我们发现,对于每个角动量通道,Fano干涉效应可以用一个简单的时间耦合模方程来模拟,该方程提供了散射和吸收截面的线形公式。我们验证了数值模拟的分析。作为理论的应用,我们设计了一种在相同频率下具有强吸收和弱散射特性的结构。

英文摘要:

We present a theory for Fano interference in light scattering by individual obstacle, based on a temporal coupled-mode formalism. This theory is applicable for obstacles that are much smaller than the incident wavelength, or for systems with two-dimensional cylindrical or three-dimensional spherical symmetry. We show that for each angle momentum channel, the Fano interference effect can be modeled by a simple temporal coupled-mode equation, which provides a line shape formula for scattering and absorption cross-section. We validate the analysis with numerical simulations. As an application of the theory, we design a structure that exhibits strong absorption and weak scattering properties at the same frequency.

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