Solution for the transversal modes of photonic crystal holy fiber by eigenvalue algorithm

摘要

In this work, an eigen-function algorithm derived from the finite-difference beam propagation method (FDBPM) for solving the guided mode and higher-order modes supported by PMMA-based photonic crystal holy fiber (PCHF) is proposed. In the method, the modal properties of the photonic crystal holy fiber with transversal polarization modes were described by Maxwell's equations and then were elaborately formulated into an eigenvalue matrix equation by using both the Fresnel approximation and the discritization of the Pade' approximant operator. Simulated results obtained by the proposed approach appear significant agreement with those of using commercial softwares BeamPROP and COMSOL, demonstrating the accuracy, efficiency and applicability of the present algorithm.