Band Gap Structures of 2D Triangular Lattice Photonic Crystals

The Bloch wave solution in periodic dielectric was deduced in detail according to the electromagnetic wave theory of 2D photonic crystals,and the band gap structures of two-dimensional(2D) triangular lattice photonic crystals constructed from air rods in GaAs dielectric matrix was calculated by using plan wave expansion method.The dependences of filling factor f in the photonic crystals were studied in both H polarization and E polarization.It was found that the crystal constructed from air rods in GaAs dielectric matrix can generate an maximum absolute photonic band gap with width 0.071 in the low frequency range of 0.458—0.529ω_e(ω_e=2πc/a),corresponding to the wavelength range of 472.6—545.9nm,which belongs to visible light range.