張宏鈞2006-07-252018-07-052006-07-252018-07-052004-09-30http://ntur.lib.ntu.edu.tw//handle/246246/11227本計畫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，並研究有效處理波導中材質 接面以獲得更精準的數值結果。在有限差 分時域法方面，本計畫建立完成橫向電場 與橫向磁場的二維程式模型，仔細探討數 值計算的收斂性與計算網格配置的關係， 並成功地應用於光子晶體波導轉折及分光 器、微環形波導共振結構、高折射率對比 直角波導轉向結構以及各式相關的高密度 積體光學元件結構之模擬。In this research we have generalized the full-vectorial finite-difference based optical waveguide mode solver we established so that we can now analyze waveguides involving anisotropic materials with diagonal permittivity and/or permeability tensor. We have investigated efficient methods for treating dielectric interfaces in the waveguide to obtain more accurate numerical results. As for the finite-difference time-domain method, in this research we have established twodimensional numerical models for both transverse-electric and transverse-magnetic waves. We have also investigated in detail the relationship between numerical convergence and the arrangement of the computational grids. The models have been successfully applied to the simulations of photonic crystal waveguide bends and splitters, micro-ring waveguide resonators, high-index-contrast waveguide bends, and various high-density integrated-optic device structures.application/pdf293286 bytesapplication/pdfzh-TW國立臺灣大學光電工程學研究所光波導波導元件有限差分法波束傳播法時域波束傳播法時域有限差分法光纖耦合器Optical waveguideswaveguide devicesfinite difference methodbeam propagation methodtimedomain beam propagation methodfinite difference time domain methodfiber-optic couplersreporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/11227/1/922215E002004.pdf