Abstract
Based on the Helmholtz equations, the full-vector finite element method accompanied by the shifted iteration algorithm was used to analyze in-phase supermode field of square-lattice multi-core photonic crystal fiber. For a five cores photonic crystal fiber, a detailed analysis of the influences of the wavelength, air duty in cladding and diameters of air holes on in-phase supermode field was carried out. The results show that the form of fiber structure plays a key role on mode shape between fiber cores. At last by optimizing diameters of different air holes between fiber cores, the in-phase supermode shapes which have the same amplitude in each core have been obtained for a multi-core photonic crystal fiber.
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