在本篇論文中,我們利用次微米灰階週期性光柵結構和發光二極體 (light-emitting diodes LED) 整合,在發光二極體表面製作出次微米的週期性氮化矽膜灰階結構,近似陣列式的微光學元件,並且能夠對發光二極體的光型做調制。從分析與模擬的結果得知,利用此週期性結構可控制發光二極體的出光特性,由光型分析看出,我們能使LED出光集中在 ±30°的範圍,亦可使LED在±60° 的範圍均勻出光,因此,我們所提出的次微米灰階光柵結構,可有效的調制LED光型。 我們製作結構尺度為次微米光柵,其週期為500 nm,線寬為200 nm,是利用電漿蝕刻等乾式蝕刻法製作出來,不需遷就晶體本身的晶格面,因此,經由設計蝕刻參數可使光柵的形狀做改變,並且可在次波長的尺度下製作出灰階的結構,能拓展灰階結構的應用面。由於灰階週期性光柵本身具有折射率漸變的性質,利用此特性,在微光學元件中,原本需要在結構上方或下方鍍上匹配膜層來修整頻譜,現在僅需利用灰階光柵即可達到類似效果,這對未來次微米結構的整合與設計亦具有更高的自由度與便利性。In our study, we modulate far-field patterns of LED by using silicon nitride micro structures. We use gray level structures as sub-micro optical elements array, and analyze the far-field patterns of LED modulated by silicon nitride sub-micro structures. From our analysis,we can concentrate far-field pattern intensity above 0.8 in ±30° or spread far-field pattern intensity uniformly above 0.8 in ±60° of LED. The purpose of structures is a micron scale, which period is 500 nm and the structures is 200 nm. The structures are etched by Inductively-Coupled-Plasma-Etching System. In our study, the purposed sub-micro silicon nitride gray-level grating can be realized. For the far-field patterns modulation of LED, the sub-micro structures can be integrated in array and fabricated on LED to extend the application of LED optical system.