2013-08-012024-05-17https://scholars.lib.ntu.edu.tw/handle/123456789/683952摘要：我們在波導及週期結構的分析與設計有豐富且突出的經驗，在這計畫中，我們將運用此優勢，以理論、數值模擬和實驗量測的方式研究光柵反射器的物理特性與各種應用，特別是在光電的感測與通訊。我們將研究電磁波在週期性結構中的行為，探討不同結構參數和材料參數對光柵反射器的影響，用各種分析方法可以快速有效的完成光柵反射器的設計，並且研究光柵反射器構成的濾波器、波導以及感測器，以及其他可能的延伸應用。首先以簡單的模態理論，用兩個(或數個)在週期邊界下的導波模態，初步獲得此光柵的穿透與反射等散射特性，了解其物理機制與特性，接著用完整的模態理論、嚴格耦合波分析法、多域虛擬頻譜法、有限元素法等數值方法進行嚴謹精確的計算。除了針對正向入射，我們也考慮平行與垂直於週期以及任意角度的斜向入射的光柵反射器進行研究。除了一維的光柵排列，也將探討二維的光柵陣列的特性。另外我們也將針對有限大小的週期結構分析其特性，探討與完美的無限週期結構之間的差異，甚至在周期數很少的情況，設計出特性好的反射器。這些分析與設計將根據其感測與通訊等應用的需求，將其物理特性發揮至極致。最後再針對微波波段範圍，設計光柵反射器，把樣品製造出來，以實驗驗證我們理論計算的結果，並以實驗展示我們提出的光柵反射器，並且尋求在光波段製程的合作，製作出光波段的元件。<br> Abstract: We have fruitful and prestigious experience in the analysis and design of waveguides and periodic structures in the past years. Based on such advantage, we will investigate the physics and applications of grating reflectors using theoretically study, numerical simulation, and experimental measurements, especially in optical sensing and communication. The behaviors electromagnetic waves in those periodic structures will be deeply explored. The parameter dependence of their structures and materials will be examined. All this will be carried on efficiently based our strength in numerical simulation. Filters, waveguides, sensors, and other potential applications will be addressed. In the beginning, we will study their diffraction characteristics using simple modal method based on two (or few) guided modes. The major features will be obtained. Thereafter, details and accurate calculation will be obtained through numerical simulation, including complete modal method, rigorous coupled wave analysis (RCWA), finite-element method and others. In the study, not only normally incident waves but also obliquely incident waves, including parallel, perpendicular, and arbitrary directions, will be considers. Aside from one-dimensional gratings, two dimensional grating arrays will also be explored. The study is not just on perfectly periodic structures. Finite-size grating structures, even with very few periods, will be discussed and good performance is expected. Finally, plastic sampled will be designed, fabricated, and measured in microwave wavelength to verify our analysis and design. After that, we will look for their realization in optical wave wavelength.光柵反射器波導週期結構週期波導光柵模態分析嚴格耦合波分析有限元素法次波長感測元件通訊元件。grating reflectorswaveguidesperiodic structuresperiodic waveguidesgratingsmodal methodrigorous coupled wave analysis (RCWA)finite element method (FEM)subwavelengthsensing devicescommunication devices.