Abstract: The effects of different linear functional forms of dielectric column dielectric constant of two-dimensional functional photonic crystals on transverse electric (TE) wave and transverse magnetic (TM) wave band structures were studied by using plane wave expansion method. The results of numerical calculation show that the band gaps of two-dimensional functional photonic crystals are wider than that of two-dimensional conventional photonic crystals. By changing the different functional forms of dielectric column dielectric constant, the number, position and width of band gaps of the two-dimensional functional photonic crystals can be changed, so as to adjust the band gap of two-dimensional functional photonic crystals.

Key words: two-dimensional functional photonic crystal, plane wave expansion method, band gap structure, absolute band gap