Decaying Length, Localization and Electric Field Profiles of Surface Modes in One Dimensional Plasma Photonic Crystals

摘要

The electric field profile, decaying length and localization of surface modes supported at the interface of air and one dimensional plasma photonic crystals are analyzed numerically in the first three band gaps. By using transfer matrix method and continuity conditions of electric fields and its derivatives, surface mode equation is obtained. It is observed that decaying length and localization of surface modes strongly depend on width of cap layer, tangential wave vector and plasma frequency. In the first band gap, it is found that for fixed tangential wave vector, decaying length of surface modes is reduced with increase of cap layer thickness. In second and third band gaps, decaying length is decreased with increase of tangential wave vector for a fixed value of width of cap layer. Frequency of surface modes is found to increase with increase of tangential wave vector. Analysis of electric field profiles show that surface modes corresponding to thicker cap layer are strongly bound to interface in first band gap. In the second and third band gaps, surface mode for larger value of tangential wave vector shows strong localization. Plasma frequency is also found to control the surface modes and its localization.