本篇論文主要是採用數值模擬的方法，研究一維單負材料光子晶體的光學特性及應用。首先我們研究單負雙層結構透射性質的研究，另外對於一維結構的光子晶體，我們透過轉移矩陣法來計算由正、負折射率之介質相互交替排列的周期組成，並求得其透射的光學頻譜。利用模擬的結果，我們分析在負折射率材質用不同的介電常數、導磁濾常數及層數對透射率的變化；進一步歸納出各個變量在整體的結構中，所可能扮演的角色及造成的效應。

In this thesis, we numerical study the optical properties for the photonic

crystals made of single-negative materials. We use the transfer matrix

method to calculate the transmission for the one-dimensional photonic

systems. The first we study is the layered structure made of ENG-MNG

bilayer structure. The transmission properties have been investigated as

a function of static parameters of the permittivity and permeability. In

the second part, we have extend our study to the negative-index

material, i.e., a photonic crystal made of NIM and PIM. We have

investigated the defect modes in this structure. The analysis of defect

modes can be informative to the design of optical filter.

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