Study on band gaps structure and eigenfield distribution of two-dimensional function photonic crystals with point defect

In the paper, we studied the two-dimensional function photonic crystal include point defect, and calculated the band gap structure, defect mode and defect mode eigenfield distribution by COMSOL software. The two-dimensional function photonic crystals, in which the dielectric constants of medium columns are the linear function, ε(r) = k · r + b. We researched the effect of point defect dielectric column radius R and dielectric column parameter b on band gap structure, defect mode and defect mode eigenfield distribution. Through adjusting the point defect dielectric column radius R and dielectric column parameter b, we found the band gap structure, defect mode and defect mode eigenfield distribution has the adjustability for the two-dimensional function photonic crystal. These conclusions will provide important theoretical basis and design methods for the optical devices.