表面電漿(surface plasmon)是經由適當光場激發，使金屬表面自由電子產生集體式電偶極震盪，存在於金屬與介面交界處的電磁波。大部分文獻的討論情形為單一介面結構，本論文探討 金屬--空氣--金屬 及 空氣--金屬--空氣的結構，若經由適當光場激發，其表面電漿波與此結構之間的物理作用，可看成一導波管。對於金屬導波管的討論，先藉由金屬Drude model探討表面電漿的色散特性，接著討論奈米導波管的特性，中間包含基本的PEC平板導波管、介電質平板導波管，和奈米金屬導波管的色散圖形比較，以及模擬其電磁場強度分布，過程利用Mathematica處理繁雜的色散關係及導波管的模態計算，最後改變其幾何結構，利用FDTD模擬出光在金屬導波管中的各種傳導情形，近一步了解光在奈米尺寸下傳播之特性。

Surface plasmons exist in the interface between the metallic and dielectric medium excited by proper electromagnetic waves, which make free electrons oscillating collectively on the metal surface. Most literatures discussed the surface plasmon modes along a single interface structure. This thesis will discuss more complex and interesting structures consisting of Metal--Air--Metal and Air--Metal--Air interfaces. We first study the basic PEC parallel-plate waveguides and the dielectric waveguides. The intensity distributions of the guiding modes and the dispersion relations for different waveguide sizes are studied. For the metallic waveguides, we use Drude model to describe the dielectric constant of the metal and investigate the dispersion relations for the surface plasmon modes. Mathematica is applied to deal with complex dispersion relations and mode calculations. Finally, we design Y-junction waveguides and utilize FDTD to simulate light propagations in these metallic waveguides. These studies advance our understanding of the characteristics on light transmission and propagation in the nano-scaled structures.

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