The Characteristic Analysis Of Photonic Crystal Fibers By The Finite Element Method

Using the finite element method, the characteristics of the photonic crystal fibers are investigated theoretically in the present dissertation. On the basis of further studying to theory of electromagnetic wave, we set up the finite element method analytical model, and the detailed steps of solving the eigenfunctions were introduced too. Based on this model, we analyzed some transmission features of the TIR(total internal reflection)-PCF in details, such as the mode characteristics, macro-bending loss properties and dispersion characteristics, having achieved some useful conclusions, which are very important during the process of the PCF's designing. The main results are summarized as follows.The characteristics of the G.652 fiber is studied, the result obtained by the finite element method is in agreement with the technical parameters of the G.652 fiber. A finite element method analytical model is formulated for photonic crystal fiber. The mode characteristics of the photonic crystal fibers is investigated in detail using the finite element method. A comparison is made between the finite element method and the scalar effective index method when identical parameters are used in the analytical of the dispersion characteristics of the photonic crystal fibers. The macro-bending loss characteristics of photonic crystal fibers is studied by the finite element method. The effect of structure parameters on macro-bending loss properties is investigated.The effect of structure parameters on dispersion is investigated, having achieved some useful conclusions. The result obtained by the finite element method analytical model is in better agreement with the measured data, while the step effective index model causes considerable discrepancies.A model for light propagation in high birefringence photonic crystal fiber is developed; the finite element method is used to analyze the birefringence properties of the model. The effect of the structure parameters on the modal birefringence is reported in this paper. This research has great signification in high birefringence photonic crystal fiber designing.