本文先以電磁模擬方法，從反射光譜、相位變化、電場分佈三種物理特性，由較簡單的雙層堆疊與三層堆疊布拉格反射鏡(DBR)，到複雜的厚度漸變型DBR，詳細探討DBR 結合金屬薄膜的多重共振效應。研究結果顯示，此種多重共振主要以Fano譜線呈現，我們將詳細探討並總結多重Fano共振的成因。了解DBR-金屬薄膜的多重共振效應後，我們接著利用特殊設計過的布拉格反射鏡結合超穎奈米結構，設計並製作出兩種多波長超穎介面應用元件。第一種為金奈米棒結合布拉格反射鏡，並以線偏振光入射的多波長超穎半波片；第二種為銀奈米棒結合布拉格反射鏡，同時引入幾何相位效應讓奈米結構具有寬頻相位調製的能力，以應用於多波長超穎全像片。此種超穎介面的多重共振產生方式與一般超穎介面的多重共振產生方式截然不同，對未來先進光電光學的研究、發展與應用，提供了嶄新的奈米光學開發平台。

This paper firstly applied electromagnetic simulation method to scrutinize the multi-resonances in a distributed Bragg reflector (DBR) substrate combined with a metal thin film. We measured three physical properties: reflection spectrum, phase shift, and electric field distribution of various DBR modls for such purpose, from double-layer and triple-layer DBRs to the thickness-gradient DBR. The results showed that the multi-resonance mostly presented as a Fano feature in optical spectrum. The physics behind the observed multi-Fano resonance are elaborated in the thesis. After analyzing the multi-resonance of DBR-metal film, we designed two multi-wavelength metasurface components by using a specialized DBR substrate combined with meta atoms. The first component is gold nanorods combined with the DBR for realizing a multi-wavelength meta-half-wave plate. For the second component, we combined silver nanorods with the DBR for holographic imaging. The 2π phase shift is achieved by introducing geometric phase into the structural design, thus the metasurface is capable of modulating the phase of reflected light in a wide range of visible window. The proposed multi-resonant metasurface is very much different from previously reported works, which opens a brand-new platform for nanop hotonics and related application.

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