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Research on Three Types of Rhombus Lattice Photonic Band Structures

The gap-midgap ratio for three types of rhombus lattice photonic band structures are analyzed by plane wave expansion method, which is confirmed by the HFSS simulation. Firstly, general wave vectors in the first Briliouin zone are derived. Secondly, the gap-midgap ratios as a function of filling factor and background material are investigated, respectively. These results would provide theoretical instruction for designing arbitrary bend waveguides or other optical integrated devices using photonic crystal with a rhombus lattice.