Abstract: A two-dimensional functional photonic crystal was designed. The photonic crystal could change the functional form of the dielectric constant of the dielectric column only by changing the distribution of the external light intensity or the distribution of the electric field, so as to obtain the required band gap structure. The band gap structures of two-dimensional functional photonic crystals with different dielectric column radii and different dielectric constant functions were selected, and the Dirac-like point and band gap structures were obtained by numerical calculation. The conclusions could provide theoretical basis for the design of optical devices.

Key words: two-dimensional functional photonic crystal, functional dielectric constant, absolute band gap, Dirac-like point