论文标题
电磁谐振器中的特征分析和对称特性的对称分析和多极分类
Symmetry analysis and multipole classification of eigenmodes in electromagnetic resonators for engineering their optical properties
论文作者
论文摘要
谐振器是来自纳米仪的大量光子和微波设备的主要构建块之一，以紧凑的生物传感器和磁共振扫描仪。谐振器的对称性与确定谐振器的线性和非线性响应的模式结构和多极含量密切相关。在这里，我们开发了用于根据其对称组的最简单形状的谐振器中本本征分类的算法。对于每种类型的模式，我们找到其多极内容。作为一个说明性的例子，我们将开发的形式主义应用于介电三角形棱镜的分析，并证明了由于通过主要多极通道抑制散射而产生的高Q共振的形成。开发的方法是为了设计，预测和解释谐振器的散射现象和光学特性，并且仅基于它们的对称性，而无需进行数值模拟，并且可以用于设计新的光子和微波设备。
The resonator is one of the main building blocks of a plethora of photonic and microwave devices from nanolasers to compact biosensors and magnetic resonance scanners. The symmetry of the resonators is tightly related to their mode structure and multipole content which determines the linear and non-linear response of the resonator. Here, we develop the algorithm for the classification of eigenmodes in resonators of the simplest shapes depending on their symmetry group. For each type of mode, we find its multipole content. As an illustrative example, we apply the developed formalism to the analysis of dielectric triangular prism and demonstrate the formation of high-Q resonances originated due to suppression of the scattering through the main multipole channel. The developed approach one to engineer, predict, and explain scattering phenomena and optical properties of resonators and meta-atmos basing only on their symmetry without the need for numerical simulations and it can be used for the design of new photonic and microwave devices.
