張宏鈞2006-07-252018-07-052006-07-252018-07-052005-10-31http://ntur.lib.ntu.edu.tw//handle/246246/11239本計畫將已建立的採用線性複合邊界 結點三角形元素的全向量有限元素法推展 為採用曲線性三角形元素的程式，並維持 完全匹配層吸收邊界，適合應用於如各式 光纖之具曲形材質介面的結構的更精準分 析。所建立的數值模型得以分析各式光子 晶體孔洞光纖的向量模態以及洩漏特性， 本計畫研究了不同空氣孔洞圈數的孔洞光 纖以及不同圈數的光子能隙光孅。本計畫 並發展具完全匹配層的二維有限元素波束 傳播法，得以模擬包括抗諧振反射光波導 之板形波導的各項特性。In this research the full-vectorial finite element method (FEM) based on linear hybrid edge/nodal elements with triangular shape and having perfectly matched layer (PML) absorbing boundaries will be generalized by employing curvilinear elements for more accurately analyzing waveguides with curved boundaries, such as optical fibers and photonic crystal fibers. The established numerical model can analyze vector modes and leaky characteristics of various photonic crystal holey fibers. We have studied holey fibers and photonic band gap fibers of different numbers of air-hole rings. A two-dimensional beam propagation method model based on the finite element method and with perfectly matched layer absorbing boundaries has also been developed for investigating various properties of slab waveguides including ARROWs.application/pdf596663 bytesapplication/pdfzh-TW國立臺灣大學光電工程學研究所光波導光子晶體光纖抗諧振 反射光波導有限元素法波束 傳播法光波導元件Optical waveguidesphotonic crystal fibersantiresonant reflecting optical waveguides (ARROWs)finite element methodbeam propagation methodoptical waveguide devicesreporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/11239/1/932215E002042.pdf