Open AccessTransmission properties of the generalized Fibonacci quasi-periodical phononic crystal
Author(s) -
Cao Yong-Jun,
Yuanyuan Xu
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.3620
Subject(s) - fibonacci number , condensed matter physics , transmission (telecommunications) , band gap , materials science , crystal (programming language) , physics , electronic band structure , acoustic metamaterials , mathematics , telecommunications , combinatorics , computer science , programming language
In this paper, the model of a one-dimensional generalized Fibonacci quasi-periodical phononic crystal is firstly proposed, the transmission coefficients of the elastic waves through this 1D quasi-periodical phoninic crystal are numerically calculated, and the obtained transmission coefficients are compared with those of the phononic crystals with periodical structure and with normal Fibonacci structure. The results show that the band gap can also be found in the phononic crystals with the generalized Fibonacci quasi-periodical structure, and the frequency range of the gap is larger than that of both the periodical structure and the normal Fibonacci structure. However, there are more strongly localized resonant modes in the gap of the generalized Fibonacci quasi-periodical phononic crystals. This study to the localized modes is useful to the fabrication of the acoustic or elastic wave filters.