Analysis of one-dimensional Fibonacci-class quasicrystals using perturbation theory

In this work, we present a new and semi-analytical method to investigate one dimensional Fibonacci-class photonic quasicrystals as an optical waveguide. Usually, the exact method for obtaining band diagram in these situations is very hard and the numerical methods are used. In this paper, we investigate the band structure characteristics of one-dimensional quasicrystals by using perturbation method. In this direction, the band diagram and field distribution of this structure are obtained.