Band gap property of three-component one-dimensional quasiperiodic phononic crystals

Studied the ABAC pattern quasiperiodic phononic crystal properties by transfer matrix method, The results show that the frequency of ABAC pattern quasiperiodic phononic crystal initial band gap is lower than AB and AC pattern and the band gap is wider, simultaneously produce strongly localized resonant modes in the first band gap, frequency and quantity of the localized resonant modes are different with different parameters of material C. These properties are useful to the fabrication of the acoustic or elastic wave filters.