本論文採用有限時域差分法(FDTD)模擬計算各種奈米尺度的金屬粒子結構物，並分析多種情況下奈米金屬粒子的表面電漿共振特性。研究結果顯示，奈米金屬粒子在矽基板上改變光入射角度可以引發相異的表面電漿共振模態。
此外也研究了多層奈米金球與球殼混合結構，它提供了高度的靈敏性在共振波長上。光學調控特性可以藉由控制球核與球殼尺寸大小比例達到所需的共振吸收波長，共振頻率的範圍介於可見光到近紅外光。當多層奈米金球與球殼混合結構在有缺陷情況下，即非對稱性結構對頻譜的關係有利於激發高階模態，此現象可以用電漿子混合理論來解釋。
當兩個多層奈米金球與球殼混和結構相鄰時，觀察兩者間距對吸收共振波長的關係，並探討等間距下改變球核直徑與球殼內外半徑厚度對強度與共振波長的影響。

In this thesis,we use the finite difference time domain method (FDTD) to simulate the surface plasmon resonance characteristics of nanoscale metallic nanoparticles,which are of different sizes and structure. The study results show that to change the incident angle of light can lead to different surface plasmon resonance mode for metallic nanoparticles placed on silicon substrate.
Besides, we also study multilayer of gold nanoparticles mixed with nanoshell structure, which provides a high degree of sensitivity in the resonant wavelength. The optical tunability can be regulated by controlling the size of core and shell to achieve the required resonance absorption wavelength,this allows the plasmon resonances into visible to near-infrared region. When the multilayer of gold nanoparticles mixed with nanoshell in defective cases, it was found that a larger offset correlates with red shifts in the resonance peaks , this phenomenon can be explained by plasmon hybridization theory.
When two multilayer of gold nanoparticles mixed with the shell adjacent to each other, we observe the relation between distance and resonance wavelength of absorption, and also discuss the effect of changing radius of core and shell on the resonance frequency mode.

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