论文信息 - Acoustic spectral gaps and discrete transmisson in slender tubes

Acoustic spectral gaps and discrete transmisson in slender tubes

Abstract We report the band structure and transmission spectrum for the longitudinal (acoustic) wave propagation in a system made up of N ′ dangling side branches (DSB) periodically grafted at each of the N equidistant sites on a slender tube. A periodic pattern of large stop bands is obtained for the airy DSB on a slender water tube. We emphasize the interesting result of huge gaps and the discrete transmission spectrum due only to the DSB grafted at a single site ( N =1) on the slender tube. Designing the system with open tubes allows achievement of the lowest gap below a threshold frequency and extending up to zero — thereby providing an entirely discrete band structure and transmission spectrum. This should have important consequences for the suppression of low-frequency noise and for designing filters and transducers.

[1] E. Yablonovitch,et al. Inhibited spontaneous emission in solid-state physics and electronics. , 1987, Physical review letters.

[2] B. Djafari-Rouhani,et al. Acoustic band structure of periodic elastic composites. , 1993, Physical review letters.

[3] P. Halevi,et al. Giant acoustic stop bands in two‐dimensional periodic arrays of liquid cylinders , 1996 .

[4] J. Kergomard,et al. Propagation of low frequency acoustic waves in periodic 2D-lattices of tubes , 1990 .

[5] John,et al. Strong localization of photons in certain disordered dielectric superlattices. , 1987, Physical review letters.

[6] B. Auld,et al. Modeling 1-3 composite piezoelectrics: thickness-mode oscillations , 1991, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[7] Economou,et al. Classical wave propagation in periodic structures: Cermet versus network topology. , 1993, Physical review. B, Condensed matter.

[8] M. Kushwaha,et al. CLASSICAL BAND STRUCTURE OF PERIODIC ELASTIC COMPOSITES , 1996 .

[9] Weaver. Anomalous diffusivity and localization of classical waves in disordered media: The effect of dissipation. , 1993, Physical review. B, Condensed matter.