Genetic algorithm for band gap optimization under light line in two-dimensional photonic crystals

Abstract

An optimization algorithm is used to design two-dimensional photonic crystals in hexagonal lattice for large absolute band gaps under light line. By optimizing the location and radius of circular hole in the unit cell, we present four designs considering different circular hole numbers. The genetic algorithm finally yielded a photonic crystal with an absolute common band gap of 0.0796(2πc/a) at the mid-frequency of 0.3712(2πc/a).