本文設計最理想的奈米接取波導對於NxN型多模干涉光分歧器，並且成功在SOI晶片上模擬極小的2x2, 4x4, 8x8, 16x16 和 32x32多模干涉光分歧器。藉由SOI奈米波導技術，有效地縮減多模干涉光分歧器的元件尺寸，有助於積體光學元件之發展。接著，我們提出一個新穎的極小型1.3/1.55微米波長解多工器，是建構在多模干涉元件並內含光子晶體。最後，我們架構一個模擬的40Gb/s光傳輸系統，得到我們設計的NxN光分歧器可運用在40Gb/s光傳輸系統並有良好的傳輸品質。

In this thesis, we design optimal nano-wire access waveguide of NxN photonic multimode interference (MMI) splitters and successfully achieve simulations of 2x2, 4x4, 8x8, 16x16 and 32x32 ultra-small photonic MMI splitters based on silicon-on-insulator (SOI). We utilize nano-wire access waveguide effectively reduce the size of photonic MMI splitters and it is contributive to the development of photonic integrated circuits. Then we propose a novel and ultra-small 1.3/1.55μm wavelength demultiplexer based on photonic MMI device with photonic crystals inside. Finally, we set up a simulate model of 40Gb/s optical transmission system and our designed NxN MMI photonic splitters can be applied well in the 40Gb/s optical transmission system.

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