Band gap properties of one-dimensional aperiodically deterministic multilayer structure containing left-handed materials

Abstract

By using the transfer-matrix method and effective medium theory, we have theoretically investigated band gap properties of one-dimensional aperiodically deterministic (quasiperiodic) structure composed of left-handed material and right-handed material layers. The proposed multilayer structure is ordered according to the Fibonacci sequence constituted of two blocks A and B. It is found that this structure possesses a new type of photonic band gap which is invariant with a change of thickness scale, and sensitive to the incident angle and wave polarization. It is also found that for TE (TM) polarization, moving away from normal incidence to oblique incidence shows that the width of the band gap increases (decreases). More interestingly, our numerical results show that for angles of incidence greater than 50° the band gap for TM mode is eliminated. Moreover, for incident angles less than 50° the structure works as a tunable band edge filter.