We introduce a design procedure for hollow-core photonic bandgap (PBG) fiber with a cladding made of air--silica honeycomb photonic crystal(PC). It is found that air-guiding can be realized in both fundamental and secondary PBG regions of the cladding PC. Dispersion and radiation loss of the fundamental mode for two types of fiber structure are theoretically calculated. The fibers show promising waveguiding ability.
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