Morpho蝴蝶翅膀反射特性分析

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姓名

廖祐德(You-de Liao) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

Morpho蝴蝶翅膀反射特性分析
(Reflection characteristics of structural color in Morpho butterfly wing)

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摘要(中)

本論文的研究主題是探討Morpho 蝴蝶翅膀的反射特性，此種蝴蝶在任意角度的觀測下，皆呈現藍色金屬光澤，且顏色的產生並不是來自於色素，而是結構的反射所造成。在過去的研究中用很多種理論來解釋此現象，在此我們使用平面波展開法(plane wave expansion method, PWE)來研究Morpho蝴蝶翅膀的反射現象，目的是找出在不同角度下有相同的帶隙分佈，為了達到此目的，我們改變蝴蝶結構的變數，並使用不同的判斷參數來討論每一個帶隙的變化。在TE偏振下的紅外線波長區域找到最接近理想的帶隙形態，當角度範圍為0°~90°，其頻寬比(bandwidth ratio=Δf / fcenter)為0.0267。最後，以最接近理想帶隙的結構變數為基準，並改變結構變數W1和W2，發現當W1愈小時，角度範圍變大的程度增加，且由最佳的結構形狀推論出造成大範圍角度的原因是矩形結構所產生的結果。

摘要(英)

This thesis studies the reflection characteristics of Morpho butterfly wing. The butterfly can produce metallic blue from any observation viewpoint. The coloration originates from the sub-micron scale structure. We adopt the plane wave expansion method to study the phenomenon. The purpose is to look for the similar photonic band gap for different propagation directions. In order to achieve the purpose, we change the structural variables of the butterfly. It is found that in the TE mode, we can observe a flat wide-angle band gap. The angle range of the band gap is from zero degree to ninety degree. The corresponding bandwidth ratio is 0.0267. Finally, when the structure parameter W1 becomes small, the angle range of the reflection increases. It shows that the wide-angle range reflection is due to the rectangle structures in Morpho butterfly.

關鍵字(中)

★ 蝴蝶

關鍵字(英)

★ Morpho butterfly

論文目次

摘要 I
Abstract II
致謝 III
目錄 V
圖目錄 VII
表目錄 XIII
第一章導論 1
1.1光子晶體介紹 1
1.2對Morpho butterfly研究文獻回顧 6
1.3研究動機與目的 14
1.4結論 17
第二章基本原理 18
2.1光子晶體的基礎理論 18
2.1.1晶格、倒晶格與週期函數 18
2.1.2布洛赫定理 20
2.1.3布里淵區 20
2.1.4頻帶結構 21
2.1.5帶隙的成因 23
2.2光子晶體數值計算方法 24
2.2.1簡介 24
2.2.2週期性介電質之傅立葉轉換 26
2.2.3二維平面波的波動方程式 27
2.2.4平面波展開法(plane wave expansion method, PWE) 31
2.3結論 38
第三章二維結構設計與模擬 39
3.1 蝴蝶翅膀結構模型 39
3.2二維結構模擬結果與分析 43
3.2.1布里淵區的設定與判斷參數的定義 43
3.2.2改變結構變數對於TE mode之判斷參數的影響 49
3.2.3改變結構變數對於TM mode之判斷參數的影響 66
3.2.4全方向帶隙 82
2.3.5 結構變數W1對於反射大範圍角度的影響 85
3.3結論 87
第四章總結與未來研究方法 90
4.1 本文總結 90
4.2未來研究方向 91
參考文獻 94

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指導教授

陳啟昌(Chii-Chang Chen)

審核日期

2012-7-9

推文