本論文是在理論的基礎上探討電磁波(光波)在近場環境下與散射體之交互作用,以及隱形斗篷的研究。研究內容包含兩大領域:近場光學與隱形斗篷。 本文討論之重點著重在(一)金屬板單一孔穴的近場光學特性研究。(二)週期陣列金屬板上單一孔穴的近場光學特性研究。(三)隱形斗篷的設計與驗證。 在近場光學領域裏,我們使用有限元素法(FEM),研究了一系列次波長尺度下光孔穴之通光效率及場型分佈特性,提出有助於近場光學顯微儀的研究分析之目的。另外我們以平面波通過週期陣列結構的奈米光孔穴,研究金屬板上光孔穴口徑大小及金屬板厚度大小的通光效率及場型分佈特性,這種基礎性研究對建立近場的概念、解釋近場成像中光纖探針的解析度與對比度原理是不可缺少的。 在隱形斗篷領域裏,我們利用座標變換的方法,設計出具有隱密性的圓柱斗篷。利用有限元素法分析軟體對各種尺寸的圓柱斗篷以及變形的圓柱斗篷的情況分別進行了數值模擬。數值模擬的結果表明,本文所提出的設計方法不僅能夠使圓柱斗篷達到隱形的目的,同時能夠保證斗篷介質的材料參數不出現奇異性。因此,該設計方法為圓柱斗篷在工程實際應用上提供了可能性。
This paper includes two topics: near field optics and invisibility cloak. In topic 1, we focus (I) the near field optical properties of metal plate single cavity, (II) the near-field optics characteristics of single cavity on the metal plane of periodic arrays, and (III) the design and verification of the invisibility cloak. In the near field optical domain, we use the finite element method (FEM), researching a set of field distribution characteristics and light efficiency of light cavities in the dimension of sub wavelength, This research promotes the analytical study of field optical microscopy. In addition, We use the method which equipped with plane wave passing through the periodic array structure of nano optical cavity in order to investigate the characteristics that reveals the relationship involving glazing cavity diameter, the thickness of the metal plate, light efficiency and the field distribution, this is essential for establishing the concept of interpretation, near field optical fiber probe near field imaging resolution and contrast principle. In the domain of the invisibility cloak, we use the method of coordinate transformation, design a cylindrical cloak with privacy. We use the way numerical simulation analysis the cylindrical cloaks which are different size or different shapes by the software of FEM. The results of numerical simulation show that the method of design proposed in this paper, can reach the invisibility of the cylindrical cloak, and ensure the material parameters medium without the singularity. Therefore, the method of design for cylindrical cloak provides the possibility of implementation in engineering application.