Abstract
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.
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