臺灣博碩士論文加值系統

屏蔽裝置近年來發展在各個領域中，從電磁波到光學、聲學、熱傳學及彈性波，Pendry et al. (2006)及Leonhardt (2006)提出在電磁波理論中利用座標轉換的概念實現屏蔽效應，但屏蔽材料在實際製造較為困難，須使用超材料來達成。本文探討反平面剪力(SH)波的屏蔽裝置，提出一階材料簡化與高階座標轉換的手法，其中一階材料簡化為藉由滿足慢度曲線(slowness curve)公式進行簡化，使得材料參數變為僅剩一個變數，而高階座標轉換手法為透過質量密度假設為定值反推高階座標轉換公式，可簡化材料僅剩二個變數。將上述二種方式應用在層狀屏蔽裝置，透過數值模擬在不同波長下的屏蔽效果。本文提出一個以2種等向性材料透過面積上的配比方法設計出20層的屏蔽裝置，因為現實中此2種材料容易取得，故增加此屏蔽裝置在實際製造上可行性。

Recently, rapid progress has been made in controlling the wave propagation with meta-devices, such as Pendry et al. (2006) and Leonhardt (2006) who used coordinate transformation method to design an electromagnetic cloak. However, the experimental realization of these cloaks demand complex material parameters, which are not easy to fabricate. For this reason, we propose a design for a multilayered cloak that can manipulate the propagation of an antiplane shear wave. We multiply the parameters for an ideal cloak by using an arbitrary function; thus, the spatially varying parameters can be reduced from three to one while the slowness curve remains unchanged. We also demonstrate how to find the specific transformation which makes the density become homogeneous for a transformation device. For numerical illustration, our design shows good performance compared to reported references. Finally, we present a cloak that consists of 20 layers of alternating concentric layers. Such cloak is more feasible to manufacture since only two kinds of isotropic materials are required.

目錄
中文摘要 I
Abstract II
誌謝 VII
目錄 VIII
表目錄 X
圖目錄 XI
第一章 緒論 1
1.1 文獻回顧與相關研究 1
1.2 內容簡介 5
第二章 彈性波傳屏蔽的基本理論與概念 6
2.1 彈性波傳遞方式 6
2.2 彈性波屏蔽裝置 7
第三章 一階座標轉換公式推導SH波屏蔽裝置材料係數與模擬 15
3.1 SH波控制方程式 15
3.2 一階座標轉換下材料係數 16
3.3 SH波在屏蔽區域中材料係數之簡化 19
3.4 SH波在屏蔽材料下數值模擬結果 25
第四章 高階座標轉換公式推導SH波屏蔽裝置材料係數與模擬 37
4.1 高階座標轉換公式介紹與推導(高階公式I) 37
4.2 高階座標轉換公式介紹與推導(高階公式II) 41
4.3 高階完美材料係數之數值模擬(高階公式I) 46
4.4 高階簡化材料係數之數值模擬(高階公式I) 47
4.5 高階完美材料係數之數值模擬(高階公式II) 51
第五章 簡化屏蔽材料層狀設計之屏蔽裝置 53
5.1 層狀位移場與散射場理論 53
5.2 層狀位移場與散射場模擬 59
5.3 層狀屏蔽效應散射寬度 65
第六章 多層等向性材料屏蔽裝置設計 68
6.1 等向性材料層狀設計理論 68
6.2 等向性材料層狀設計值 71
6.3 等向性材料層狀數值模擬 75
6.4 等向性材料層狀簡化方法與模擬比較 76
第七章 結論與未來展望 80
7.1 結論 80
7.2 未來展望 81
參考文獻 82
附錄A彈性波屏蔽裝置理論 86
附錄B平面應力波(in-plane wave)屏蔽裝置參數推導 89
附錄C撓曲波(flexural wave)屏蔽裝置參數推導 92

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