Abstract
Large absolute band gaps are searched among photonic crystals whose unit cells are formed by large dielectric pixels. To speed up the computation, a fast plane-wave expansion method is introduced for calculating the band structures for such special photonic crystals. Two structures are found to have absolute band gaps of $0.1158(2\ensuremath{\pi}c/a)$ and $0.11(2\ensuremath{\pi}c/a)$ $(a$ is the period of the square lattice) at the low- and high-frequency regions, respectively. Both structures are stable and convenient for fabrication.
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