Abstract
Photonic crystals have been receiving a lot of attentions in recent years and have been applied to some electromagnetic devices as lasers, filters, etc. We present some new photonic crystal structures which comprise hollow rods being periodically arrayed and forming two dimensional triangular lattices. Firstly, dispersion relations for the solid rods with round, hexagonal, and square cross sections are computed by changing sizes of the rods in order to seek the most suitable rod size producing the widest bandgaps. Next, we compute bandgaps for hollow rod structures to study the effect of the hollow portion of the rods to the bandgaps. We also investigate a dual periodic photonic structure consisting of solid and hollow rods. The band calculations demonstrate that, for solid rod structures, the increase of the rod size causes the drops of bandgap positions. For hollow rod structure and dual periodic structure consisting of solid and hollow rods, the bandgaps in high frequency region are shown to disappear once and appear again on further increase of the hollow portions.
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