The adjustable band gap structure and transmission characteristics for the two-dimensional function photonic crystal waveguide

Abstract

In this paper, we have studied band gap structure, light field distribution, and the propagating direction in the two-dimensional function photonic crystal waveguide. For the two-dimensional function photonic crystal waveguide, the dielectric constant of dielectric column is the space coordinate function, which can be realized by the electro-optic effect and the Kerr effect. The dielectric constant function form of the dielectric column is ɛr = kr + b, the parameters k and b can be adjusted by changing the applied electric field. By changing the dielectric constant parameters k or b, we found the two-dimensional function photonic crystal waveguide transmission characteristics have the adjustability, i.e., band gap and position, defects mode number and position, the propagating direction, and light field distribution can be changed by adjusting the dielectric constant parameters k or b. It can be used to conveniently design the band gap structure, light field distribution, and the propagating direction that we need. It provides a new designed methods for optical device, such as dynamic optical device, optical switch and so on.