Changes of Band Gap Structure of 1-D Quasi-Periodic Photonic Crystal at Angular Incidence

The transmission spectra of 1-D quasi-periodic photonic crystal of positive-negative index structure at angular incidence was studied by transfer matrix method. The results show that the photonic band gap structure changes along with different incidence angles, a new photonic band gap corresponding toω/ωpe=1 will appear, whose centric position is invariant with the changes of incidence angle, but the width broadens as the incidence angle increases; likewise, for a Bragg gap, the centric position and width of band gap also change, which provides conditions for achieving complete phase matching for the second harmonic effect.