國立臺灣大學電信工程學研究所張宏鈞2006-07-262018-07-052006-07-262018-07-052005-07-31http://ntur.lib.ntu.edu.tw//handle/246246/20327本計畫除將已建立的全向量有限差分 法光波導模態分析模型推展至含有各向異 性材質的波導以及洩漏波導外,並完整地 建立了另一套基於不同網格的頻域有限差 分法模型。在時域有限差分法方面,除了 持續應用已建立的二維程式模型於模擬研 究平面光子晶體波導器件與高折射率對比 高密度積體光學器件結構外,並已成功建 立三維模型。另外也採用譜方法建立可分 析板形洩漏波導的二維模型以及可精準分 析三維波導的模態分析模型。In this research, in addition to generalizing the full-vectorial finitedifference based optical waveguide mode solver we established so that we can now analyze waveguides involving anisotropic materials with diagonal permittivity and/or permeability tensor and waveguides with leaky characteristics, we have quite completely established another finitedifference frequency-domain (FDFD) method model based on Yee mesh. In the topic of the finite-difference time-domain (FDTD) method, we continue to employ the established two-dimensional (2-D) numerical models to simulate and study planar photonic crystal waveguide devices and high-indexcontrast high-density integrated-optic device structures, and further more, we have successfully established the 3-D model. Based on pseudospectral methods, we have also established a 2-D mode solver for analyzing leaky slab waveguides and a highly accurate 3-D solver for 3-D waveguides.application/pdf858926 bytesapplication/pdfzh-TW國立臺灣大學電信工程學研究所光波導光子晶體波導波導元 件有限差分法時域有限差分 法譜方法Optical waveguidesphotonic crystal waveguideswaveguide devicesfinite difference methodfinite difference time domain methodspectral method適用於光波導元件的有限差分數值模型之發展(IV)Development of Finite Difference Numerical Models for Photonic Guided-wave Devices (IV)reporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/20327/1/932215E002036.pdf