Abstract
The PCF with triangular lattice structure has the C, symmetry, the fundamental guided mode belongs to the C group, the third order guided mode belongs to the D31 group, we can simplify the computation by selecting the proper expend functions according to the symmetry ofthe modes. We have calculated the dispersion ofthe PCF with triangular structure and find the proper structure parameter with which the dispersion of fundamental mode at 1 .55jim can be zero. We also calculated the magnetic distribution of the third order guided mode of honeycomb-based PCF and proved that the interstitial holes in the PCF has no effect on the mode distribution.
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