Open AccessThe transmission properties in one-dimensional piezoelectric Fibonacci-class quasi-periodical phononic crystals
Author(s) -
Lifeng Yang,
Yafei Wang,
Zhou Ying
Publication year - 2012
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.61.107702
Subject(s) - fibonacci number , superlattice , piezoelectricity , materials science , condensed matter physics , transmission (telecommunications) , physics , telecommunications , mathematics , composite material , computer science , discrete mathematics
The transmission properties of phononic crystals in one-dimensional piezoelectric Fibonacci quasi-periodical superlattices are studied using the transfer matrix method. The transmission coefficients in piezoelectric Fibonacci quasi-periodical superlattices are compared with those of the phononic crystals with periodical structure and with non-piezoelectric Fibonacci quasi-periodical structure. The results show that the band gap can also be found in the phononic crystals with both piezoelectric and non-piezoelectric Fibonacci quasi-periodical superlattices, and the frequency range of the gap in piezoelectric Fibonacci quasi-periodical superlattices is larger than those of periodical structure and non-piezoelectric Fibonacci quasi-periodical structure. Furthermore, the transmission coefficients are studied as a function of the properties of the material and incidence angle of the wave. The results show that the transmission coefficients in piezoelectric Fibonacci quasi-periodical superlattices are correlated with incidence angle of the wave.