We demonstrate disappearances of uncoupled modes in two-dimensional photonic crystals due to anisotropies of liquid crystals theoretically. Mirror symmetry disappears in wave vectors by rotating directors of liquid crystals, which results in disappearances of uncoupled modes that cannot be excited by external plane waves. This property may provide large tunabilities in two-dimensional photonic crystals utilizing liquid crystals.
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Takeda et al. (2003) studied this question.
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