臺灣博碩士論文加值系統

當某種介質的介電常數與磁導係數皆為負值時，在新的定義底下，此介質的折射率也會是負值，稱為「負折射率材料」、「左手系材料」或「新穎材料」。本論文的主要工作在於求出在長波長極限下，平面波打在負折射率球的微分散射橫截面及散射橫截面方程式，並且針對左手系材料與一般材料進行比較。而在最後，我們假設散射材料的介電常數與磁導係數有 的特殊關係，在這樣的情況下我們求得負折射率材料散射橫截面的範圍，並與現有實驗結果做對照。

If a material, whose dielectric constant and magnetic permeability are both negative, its refraction index is also negative under the new definition. It is known as negative index materials (NIMs), Left-handed materials (LHM) or metamaterial. Our main work is finding out the scattering differential cross section and scattering cross section of NIMs sphere scattering by a plane wave, in the long wavelength limit. Then we compare Left-handed with ordinary materials. For the special case where the dielectric constant and magnetic permeability have the relationship of , we analyzed the ranges cross section NIMs, and compare with existing experiment results.

第一章 緒論 1
第二章 一般物質的散射 7
2.1 電偶極矩和磁偶極矩的電磁場 7
2.2 長波長極限下的散射 10
第三章 新穎材料中的折射率 14
3.1 狹義Snell’s law 14
3.2 一般介質的折射現象 17
3.3 磁導係數與介電常數均為負介質的折射現象 25
3.4 狹義Snell’s law 30
第四章 一般材料與負折射率材料的散射 33
4.1 由邊界條件求反射波及透射波的電磁場 33
4.2 各種極限下的散射橫截面 37
4.3 右手系材料與左手系材料散射橫截面的比較 40
第五章 結論 47
參考資料 48

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