臺灣博碩士論文加值系統

在光學系統，可以利用光子晶體來吸收特定波段的波長，而使其他波長的光通過，因此我們想設計一材料，使材料在頻率熱源時有類似光子晶體的特性。
在光子晶體中，是用兩種折射率不同的材料所組成，所以我們設計的材料是由兩種物質所堆疊而成，可以讓特定頻率的熱源通過，而其他頻率的熱源不能通過。而在本研究著重於分析與討論，以及建立理論預測的模型。
本論文以有限元素分析法模擬與解析探討，各種不同的結構溫度的比較，最後並透過有限元素分析軟體COMSOL驗證我們理論及方法的正確性。

A analogy between optical and thermal propagation in heterogeneous anisotropic media had been proposed recently. All thermal parameters are related to optical ones in artificial metallic media, thus making possible to use numerical codes developed for optics.
Our develops and analyzes a metamaterial for heat dissipation. Similar photonic crystal, some frequency of photonic can penetrate, another frequency of photonic can’t penetrate. Electromagnetic and heat diffusion simulations based on the finite element method (FEM) are accomplished to verify that the design of the proposed film. A decrease of frequency can be achieved high penetration rate.

口試合格證明
中文摘要 I
英文摘要 II
致謝 VI
目錄 VII
圖目錄 IX
第一章 緒論 1
1.1 簡介 1
1.2光子晶體 1
1.3熱能的傳遞 2
1.4研究動機 3
第二章 光與熱的比較與分析 4
2.1光的傳播 4
2.2熱傳遞 5
2.3熱傳方程式 9
2.4波動方程與熱傳方程的比較分析 9
第三章 模擬方法-FEM(有限元素分析法) 12
3.1有限元素分析的基本概念 13
3.2偏微分方程與弱形式(Weak form) 14
3.3有限元素分析-離散化 16
3.4有限微分方程的運算過程 19
3.5有限元素分析軟體-COMSOL 22
第四章 固態熱傳 24
4.1扇形熱傳 24
4.2結構設計與模擬結果分析 25
4.3頻率熱源經過層狀材料 26
第五章 結論 30
參考文獻 31

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