Effects of defect permittivity on resonant frequency and mode shape in the three-dimensional woodpile photonic crystal

Abstract

Tuning the resonant frequency of a 1uc defect across the bandgap of a three-dimensional woodpile photonic crystal (PC) was achieved by altering the defect’s permittivity. Experiments were performed at microwave frequencies and calculations were made using the transfer-scattering matrix method. Defect permittivity was varied by using solid materials of different permittivities or by constructing structures smaller than a lattice constant from the the PC lattice materials. These small structures, which will be referred to as “sublattice defects,” produce an effective permittivity between their two materials’ permittivities. Changes in mode shape with resonant frequency and permittivity were also examined.

Electro-optic tunable multi-channel filter in two-dimensional ferroelectric photonic crystals

“…Recently, tunable filters whose channel frequencies can be controlled by external parameters have attracted a great deal of attention due to their important applications in the fields of optical communication, optical information processing and optical interconnection networks [1,2]. Photonic crystals have been regarded as the ideal basis for the realization of integrated photonic devices due to their unique photonic bandgap properties [3]. Various schemes have been proposed to demonstrate a tunable filter made of photonic crystal [4,5].…”