本論文運用理論計算獲得激發表面電漿的週期，以此設計發光二極體上的金屬薄膜，並藉由改變週期大小、銀薄膜厚度、銀薄膜與量子井距離，來觀察表面電漿子對發光二極體粹取效率的影響。在不同週期的設計，可以發現到符合理論週期的光柵會有最強的共振效果，也可以發現到在銀薄膜厚度增加時，其粹取效率會逐漸降低，這樣的結果是可以由金屬的損耗解釋，而在銀薄膜與量子井距離縮短時，量子井自發輻射功率不會因此改變，這是因為模擬軟體設計上的限制，這方面的研究仍待日後的改進。

In this essay, we get the metal periods that can excite Surface Plasmon Polariton(SPP) by SPP theory, then we use that to design the metal films on the light emitting diodes. By changing the size of periods、the thickness of metal films、the distance between the metal films and the quantum well of LED, the effect between the SPP and LED extraction efficiency could be observed. First, we could observe that the strongest resonance would happen at the periods that match the SPP theory on many different cases. Second, we observed the thicker metal films have lower extraction efficiency, this is due to the loss in the metals. Finally, when we reduce the distance between the metal films and the quantum well of LED, the quantum well spontaneous emission power would not change. This is because of the limitation of the simulation software, expecting this problem could be resolved in the future.

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