Properties of defect modes in semi-infinite one dimensional photonic crystal composed of dispersive left-handed material

We present a theoretical study of electromagnetic defect states localized at a defect layer with left-handed (LH) material between two symmetric semi-infinite one-dimensional photonic crystals (1DPCs) composed of right-handed (RH) materials. We consider magnetic permeability and electric permittivity of LH layer being dispersive. An analytical direct matching procedure within the Kronig-Penney model was applied to analyze the dispersion properties of the localized defect states. It is shown that the dispersive LH layer act as an effective tool to tune the type of defect modes from backward to forward and vice versa and it plays an important role on the localization of them, when the frequency and the parameters of the defect layer vary. Also, we show that when the LH layers are chosen dispersive, three types of dispersion: positive, zero, and negative dispersion of defect waves are obtained in a wide range of radiation angle and frequency, which is depending on the physical and optical parameters of the defect layer.

Keywords:

photonic crystal , defect mode , Left- Handed material and Right-Handed material