以有限差分頻域法分析光波導與光子晶體光纖之探討

Abstract

In this thesis, the full-vectorial finite-difference frequency-domain (FDFD) method is utilized to analyze optical waveguides and photonic crystal fibers. The perfectly matched layer (PML) is employed as the absorbing boundary of the computational window in the FDFD solver. Besides, the FDFD model adopts three approximation methods for dealing with dielectric interfaces: the stair-case approximation method, the index average (IA) scheme, and the proper boundary condition (BC) matching scheme. Several optical waveguides such as slab waveguides, antiresonant reflecting optical waveguides (ARROWs), channel waveguides, rib waveguides, photonic wires, and optical fibers are analyzed and discussed. We make a comparison among the staircase approximation method, the IA scheme, and the proper BC matching scheme in treating the dielectric interfaces of those waveguides. Besides, we also discuss the effects of some parameters of the FDFD model on the accuracy and convergency of numerical results. The properties of the holey fibers, the honeycomb fibers, and the photonic crystal fibers with high index rods are investigated. The field distributions, the effective index and loss are calculated for different cases.