یک مدل خط انتقال برای محاسبه فاصله کانونی فونونیک در ساختارهای یادداشت سوراخ شده؟

In this paper an acoustic transmission line model for the calculation of phononic band gaps is presented. We study the propagation of longitudinal waves in thin, rectangular perforated rods. We show that the 1D nature of the rod vibrations allows the modeling of the system by a series of acoustic transmission lines with different characteristic impedance, where the perforated section is modeled as an equivalent filled material with Young's modulus and mass density depending from the size of the holes. Once this model is defined, the derivation of the transmission matrix and transmission coefficient (in matching conditions) of the entire rod is straightforward by using the classical transmission line theory. Finally, the phononic band gap predicted by this model is verified by means of an ANSYS harmonic analysis.