Modeling and applications of straight-through resonators

Straight-through concentric resonators have been modeled by coupling the acoustic wave propagation through the inner perforated pipe and the outer cavity by means of the radial particle velocity through the perforate holes. The decoupled equations of wave propagation are solved using the boundary conditions in the cavity resulting in a two-by-two transfer matrix. In this study the decoupling procedure was used for deriving the transfer matrix for a partially perforated straight-through resonator. This transfer matrix was used for predicting the transmission loss for some typical resonator configurations. Experimental and analytical results of several resonator configurations are presented showing good agreement.