论文标题
开放音调系统中辐射谐振器的准模式表示
Quasinormal mode representation of radiating resonators in open phononic systems
论文作者
论文摘要
打开的声音系统，包括辐射的谐振器，在无界介质支持的局部声子内，其特征是复杂的频率。在这种情况下，弹性准模式（QNM）的概念自然出现，就像纳米光子和等离子开放系统一样。基于弹性动力学的复杂的，未结合的互惠定理，以弹性QNM为基础表示的本征函数扩展定理可以准确地近似响应响应函数，以进行任意激发。然后，对弹性percell效应的描述需要定义每个QNM的复杂值模态体积。为了进行验证，我们首先考虑了在水中辐射的振动尼龙杆。作为第二个测试示例，我们考虑了融合二氧化硅底物表面上的细长镍脊，然后将注意力扩大到由两个这样的脊组成的纳米级调整叉。在所有情况下，只有少数弹性QNM估计的响应与弹性动力方程的解决方案一致。
Open phononic systems including resonators radiating inside an unbounded medium support localized phonons characterized by a complex frequency. In this context, the concept of elastic quasinormal mode (QNM) arises naturally, as in the cases of nanophotonic and plasmonic open systems. Based on a complex, unconjugated form of reciprocity theorem for elastodynamics, the eigenfunction expansion theorem expressed on the elastic QNM basis yields an accurate approximation to the response function, for an arbitrary excitation. The description of the elastic Purcell effect then requires defining a complex-valued modal volume for each QNM. For validation, we first consider the case a vibrating nylon rod radiating in water. As a second test example, we consider a slender nickel ridge on the surface of a fused silica substrate, before extending our attention to a nanoscale tuning fork composed of two such ridges. In all cases, the response estimated from only a few elastic QNMs agrees with the solution to the elastodynamic equation.
