论文标题
Helmholtz谐振器的渐近建模，包括热疗效应
Asymptotic modeling of Helmholtz resonators including thermoviscous effects
论文作者
论文摘要
我们系统地采用了匹配的渐近扩展的方法来模拟Helmholtz谐振器，并从第一原理开始进行热录效果，并具有整理颈部和空洞几何形状的集体参数，这些几何形状精确地定义并明确地提供了广泛的遗传范围。为了对声学跨面进行建模，我们考虑嵌入在刚性表面中的谐振器，每个谐振器由一个任意形状的空腔组成，该空腔由小圆柱颈部连接到外部半空间。大部分分析专用于单个谐振器受到正常入射平面波的问题。然后，使用“ Foldy的方法”将模型扩展到受任意事件字段的多个谐振器的情况。作为例证，我们分别通过单个谐振器和模型的元图得出了关键耦合条件，以实现最佳和完美的吸收。
We systematically employ the method of matched asymptotic expansions to model Helmholtz resonators, with thermoviscous effects incorporated starting from first principles and with the lumped parameters characterizing the neck and cavity geometries precisely defined and provided explicitly for a wide range of geometries. With an eye towards modeling acoustic metasurfaces, we consider resonators embedded in a rigid surface, each resonator consisting of an arbitrarily shaped cavity connected to the external half-space by a small cylindrical neck. The bulk of the analysis is devoted to the problem where a single resonator is subjected to a normally incident plane wave; the model is then extended using "Foldy's method" to the case of multiple resonators subjected to an arbitrary incident field. As an illustration, we derive critical-coupling conditions for optimal and perfect absorption by a single resonator and a model metasurface, respectively.
