"金屬的表面粗糙度與其晶粒品質所衍生的散射現象將改變金屬之光學性質，進而影響表面電漿子奈米雷射的特性。本專題研究計畫擬以三年的時間，連結理論模擬與實驗量測等方法，建立含散射效應的表面電漿子奈米雷射之理論機制；對金屬的表面粗糙度、晶粒品質，以及溫度所引致的散射損耗進行分析，探討散射效應對金屬光學性質之影響；評估不同散射效應之表面電漿子特性；研究散射效應對表面電漿子奈米雷射特性之影響；以期達成高性能的表面電漿子奈米雷射之設計與開發。 第一年，本計畫將製做鋁的金屬樣本並量測其表面粗糙度的特徵參數與其晶粒品質；建立含有散射效應的理論模型；並與實驗量測之反射率數據進行擬合，以獲得含有散射效應的等效介電係數；分析不同粗糙度與晶粒品質所引致的散射效應，完成散射效應對金屬光學性質影響之探討。 第二年，本計畫將製做表面電漿子常用的金屬樣本(金、銀、鋁)，並量測其表面粗糙度的特徵參數與其晶粒品質；建立最佳化使用的成本函數與演算法則，反算獲得模型的最佳參數值與最佳等效介電係數；分別估算頻散曲線、傳播距離、品質因子等參數，完成散射效應對表面電漿子特性影響之分析。 第三年，本計畫將分析含散射效應的表面電漿子奈米雷射，分別探討散射效應對表面電漿子奈米雷射的光學特性與其散熱效率之影響；完成含有散射效應的表面電漿子奈米雷射之設計，進而達成高性能的表面電漿子奈米雷射之設計與開發。" "In recent years, due to the ability of surface plasmons to confine photons to the interface between a dielectric and a conductor, surface plasmon nanolasers could successfully overcome the diffraction limit. However, scattering phenomena from the surface roughness of metal and quality of grain would induce scattering losses, which further affect the electric-optical properties of metal and the characteristics of surface plasmon nanolasers. In this study, the relationship between scattering effects and dielectric constants of metal is analyzed. Then, the physical phenomena caused by surface roughness, quality of grain, and temperature are discussed respectively. Finally, the designed surface plasmon nanolasers with scattering effect have the high performance of laser's behavior and heat-radiation's behavior. In this three-year's project, scattering effects on the characteristics of surface plasmon nanolasers will be investigated. The expected results as follows: First Year: Prepare aluminum samples and measure the surface roughness parameters. The surface roughness characteristics and grain quality of the samples were analyzed, and the model parameters of the samples subjected to the scattering effect were considered. The effective dielectric constants of the samples were extracted by fitting the measured reflectivity data. The optical properties of the samples with different surface roughness characteristics and grain quality were investigated. Second Year: Prepare different kinds of metallic samples and measure the surface roughness parameters. Construct the cost function based upon the reflectivity of experiment and the theoretical model of the reflectivity, and design appropriate algorithm to find the minimizing of the cost function. The characteristics of surface plasmons, such as propagation distance, quality factor, and dispersion curve, are analyzed by the effective dielectric constants to evaluate the influence of scattering effect. Third Year: Designed surface plasmon nanolasers with scattering effects. Analyze the lasing performance and heat dissipation efficiency of surface plasmon nanolasers. Meanwhile, analyze the dielectric material which covers on the rough surface that affects the electro-optical properties and the heat dissipation efficiency. Eventually, high-performance surface plasmon nanolasers are achieved."