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研究生: 吳秋霖
Wu, Chiou-Lin
論文名稱: 以卷積神經網路預測阿基米德螺旋圓二色性研究
Convolutional Neural Network Predictions for Circular Dichroism of Archimedes Spiral
指導教授: 藍永強
Lan, Yung-Chiang
學位類別: 碩士
Master
系所名稱: 理學院 - 光電科學與工程學系
Department of Photonics
論文出版年: 2023
畢業學年度: 111
語文別: 中文
論文頁數: 113
中文關鍵詞: 圓二色性光譜阿基米德螺旋前向神經網路逆向神經網路卷積層全連接層特徵擷取
外文關鍵詞: Circular Dichroism Spectroscopy, Archimedean Spiral, Forward Neural Network, Inverse Neural Network, Convolution Layer, Fully Connected Layer, Feature Extraction
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  • 圓二色性光譜(Circular Dichroism Spectroscopy),簡稱CD光譜,是一種光譜技術,用於研究螺旋狀結構的生物大分子(如蛋白質和核酸)和其他螺旋結構的化學物質,在CD光譜實驗中,會將圓偏振光照射到樣品上,測量左旋圓偏振光和右旋圓偏振光在不同波長下吸收與散射效應整體的差異,而通過分析圓二色性光譜,可以獲得有關螺旋結構物質的結構資訊,例如:蛋白質的二級結構、核酸的構型等。
    一般來說,將左右圓偏振光照射到手性金屬電漿奈米結構上,會產生強烈的CD光譜反應,因此基於這個機制,我們設計一個金屬的阿基米德螺旋(Archimedes spiral)光柵結構,並以左右圓偏振波照射去獲得在阿基米德螺旋間產生的CD光譜,論文中將根據改變阿基米德螺旋結構的幾何參數,以及對應幾何參數不同所量測到的CD特徵頻譜,來建立以CD特徵頻譜資料預測幾何結構參數的逆向神經網路,而有了逆向神經網路後,我們也能建立一個以幾何結構參數來預測CD光譜資料的前向神經網路,並且結合這兩種網路的模型,我們能夠用來取代傳統的光學量測與模擬工具(FDTD),來對CD光譜進行結構的最佳化預測,此外,本篇論文的深度神經網路架構主要採用卷積層(Convolution Layer, CL)與全連接層(Full Connected Layer, FCL)為核心。其中,卷積層主要負責特徵提取,即直接對輸入的特徵頻譜進行處理和學習,而全連接層則為特徵被卷積層提取和學習後,將這些特徵作為輸入,進行分類或回歸。最後,將評估逆向神經網路與前向神經網路的預測效果。

    Circular Dichroism Spectroscopy (CD spectroscopy) is a powerful tool in studying helical structures in macromolecules and other chemical structures. In this study, we focus on the CD spectral response of chiral metal plasmonic nanostructures. By designing a metallic Archimedean spiral grating structure, we observe its interaction with circularly polarized waves. An inverse and a forward neural network are established for bi-directional prediction - estimating geometric structure parameters from CD spectral data, and vice versa. The deep neural network architecture is composed of a convolution layer for feature extraction and a fully connected layer for performing classification or regression tasks.
    The predictive performance of these neural networks is thoroughly evaluated.

    中文摘要 i 英文摘要 ii 誌謝 xviii 目錄 xix 表目錄 xxii 圖目錄 xxiv 第一章 簡介 1 1-1 緒論 1 1-2 研究動機 1 1-3 人工智慧(Artificial Intelligence) 3 1-4 論文架構 4 第二章 表面電漿與類神經網路原理 6 2-1 表面電漿 6 2-1-1 表面電漿的金屬光學特性 8 2-1-2 金屬的得汝德模型(Drude Model) 12 2-1-3 絕緣體-金屬-絕緣體(IMI)表面電漿色散關係 16 2-2 手性材料(Chiral materials) 21 2-2-1 阿基米德螺旋(Archimedean spiral) 23 2-2-2 圓二色性(Circular Dichroism, CD) 25 2-3 類神經網路 26 2-3-1 類神經元 27 2-3-2 激活函數(Activation Function) 28 2-3-3 前向傳播(Forward Propagation) 31 2-3-4 損失函數(Loss Function) 33 2-3-5 反向傳播(Backpropagation) 35 第三章 模擬方法與卷積神經網路訓練方法 38 3-1 模擬軟體Meep 38 3-1-1 馬克士威爾方程式(Maxwell's Equation) 39 3-1-2 有限時域差分法(FDTD) 41 3-1-3 完美匹配層(Perfect Matched Layer, PML) 43 3-2 神經網路訓練工具Colab 45 3-2-1 卷積神經網路(Convolution Neural Network) 46 3-2-2 卷積層(Convolution Layer) 47 3-2-3 池化層(Pooling Layer) 50 3-2-3 全連接層(Fully Connected Layer) 52 第四章 元件與神經網路模型設計 55 4-1 模擬空間與元件結構設計 55 4-2 神經網路架構設計 56 4-3錯誤評估指標 63 第五章 模型評估與實驗結果 65 5-1不同結構下的圓二色性光譜 65 5-2 神經網路訓練結果 71 5-2-1 學習曲線 76 5-2-2 以光譜預測幾何結構 78 5-2-3以幾何結構預測光譜 96 第六章 結論與未來展望 108 Reference 111

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