Helmholtz resonator is considered and widely accepted as a basic acoustic model in engineering applications and research. In this paper, the normal incidence sound absorption characteristics of series and parallel configurations of Helmholtz resonators is studied analytically, numerically and experimentally. The proposed analytical model for series configuration of HRs comprises of Johnson–Champoux–Allard model and transfer matrix method while parallel configuration of HRs is described using parallel transfer matrix method. The results from proposed analytical models fit well with the finite element method (FEM) results obtained from COMSOL multiphysics. Incorporation of parallel configuration and proper tuning of geometric parameters helps to overcome the trade-off between broad band sound absorption and minimum space utilization. Also, the experimental observations of one of the parallel configuration substantiates the FEM results. Moreover, the FEM models are more accountable for the variation in neck position and also provide better visualization of acoustic absorption with frequency.

亥姆霍兹谐振器被认为并被广泛接受为工程应用和研究中的基本声学模型。本文通过解析，数值和实验研究了亥姆霍兹共振器串联和并联配置的法向入射吸声特性。HR的串联配置的拟议分析模型包括Johnson–Champoux–Allard模型和转移矩阵法，而HR的并行配置则使用并行转移矩阵法进行描述。所提出的分析模型的结果与COMSOL多物理场获得的有限元方法（FEM）结果非常吻合。结合并行配置和适当调整几何参数有助于克服宽带吸声与最小空间利用之间的折衷。还，平行配置之一的实验观察证实了有限元结果。而且，FEM模型更能说明颈部位置的变化，并且还可以更好地可视化吸声随频率的变化。