Abstract
A complex hexagonal lattice photonic crystal with a two-dimensional (2D) periodic dielectric background is proposed. The photonic band modulation effects due to the 2D periodic dielectric background are investigated. We find that the position and width of the complete photonic band gap (PBG) sensitively depend on the dielectric constants of the 2D periodic dielectric background. The radii of the two alternating air holes have significant influence on the relative width of the complete PBG.
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