本文選題：電磁超材料　切入點：雙軸各向異向介質　出處：《北京交通大學》2017年碩士論文

【摘要】：由于電磁超材料能夠定制出自然界中物質所沒有的電磁特性,隨著它逐漸從實驗室走進人們的日常生活,電磁超材料的應用前景日益廣闊。本文選擇了電磁超材料的一般模型——雙軸各向異性介質作為研究對象,較為全面的研究了電磁波在雙軸各向異性介質中的基本傳播特性以及特殊的物理現象;在此基礎上設計了一種基于雙軸各向異性介質的分波器。本文具體的工作是:首先,研究了電磁波在雙軸各向異性介質中傳播的基本特性。利用kDB系統(tǒng)分析方法得到麥克斯韋方程組在kDB坐標系中的表達形式后,對雙軸各向異性介質的色散關系一般式作了推導,得到了雙軸各向異性介質的兩種特征波——TE波和TM波的色散關系和傳播條件,為之后的研究奠定基礎。其次,研究了電磁波在雙軸各向異性介質表面的傳播特性。針對雙軸各向異性介質與各向同性介質的單一分界面,分別推導了 TE波和TM波在雙軸各向異性介質中傳播時的反射系數與透射系數;同時對TE波和TM波從各向同性介質入射到雙軸各向異性介質表面時發(fā)生的全反射現象進行了研究;討論了全反射現象發(fā)生的條件,并針對理論推導進行仿真驗證。第三,在全反射現象的基礎上,研究了電磁波在介質的分界面處發(fā)生全反射時產生的Goos-Hanchen效應與Imbert-Fedorov效應。推導了雙軸各向異性介質與各向同性介質有單一分界面時的Goos-Hanchen側向位移和Imbert-Fedorov橫向位移的一般表達式;同時分析了兩種位移隨入射角、介質的手性、電磁波的旋向的變化趨勢。第四,研究了電磁波在雙軸各向異性介質表面的全透射現象。針對雙軸各向異性介質與各向同性介質的單一分界面,分別討論了 TE波和TM波發(fā)生全透射現象需要滿足的條件,并針對理論推導進行了仿真驗證。最后,研究了電磁波在雙軸各向異性介質平板中的基本傳播性質。針對雙軸各向異性介質與各向同性介質的雙分界面,依據麥克斯韋方程組與邊界條件,推導了雙軸各向異性介質與各向同性介質有雙界面時的反射系數與透射系數;分別得到了雙軸各向異性介質平板中TE波與TM波的導行條件;在此基礎上,設計了一種基于雙軸各向異性介質的分波器,這種分波器結構簡單、參數取值范圍寬泛,對入射角度和介質手性的要求也比較低,分波結果均得到仿真驗證。
[Abstract]:Because electromagnetic metamaterials can customize the electromagnetic properties which are not found in nature, the application prospect of electromagnetic metamaterials is more and more extensive as it gradually enters into people's daily life from the laboratory.In this paper, the general model of electromagnetic supermaterial, biaxial anisotropic medium, is chosen as the research object, and the basic propagation characteristics and special physical phenomena of electromagnetic wave in biaxial anisotropic medium are studied comprehensively.On this basis, a wave divider based on biaxial anisotropic medium is designed.The main work of this paper is as follows: firstly, the basic characteristics of electromagnetic wave propagation in biaxial anisotropic medium are studied.After obtaining the expression of Maxwell's equations in kDB coordinate system by using kDB system analysis method, the general formula of dispersion relation of biaxial anisotropic medium is derived.The dispersion relations and propagation conditions of two characteristic waves in biaxial anisotropic medium, te wave and TM wave, are obtained.Secondly, the propagation characteristics of electromagnetic wave on the surface of biaxial anisotropic medium are studied.The reflection coefficient and transmission coefficient of te wave and TM wave propagating in biaxial anisotropic medium are derived for the single interface between biaxial anisotropic medium and isotropic medium.At the same time, the total reflection of te wave and TM wave from isotropic medium to the surface of biaxial anisotropic medium is studied, and the conditions for the occurrence of total reflection phenomenon are discussed, and the theoretical derivation is verified by simulation.Thirdly, on the basis of the total reflection, the Goos-Hanchen effect and the Imbert-Fedorov effect are studied when the electromagnetic wave is reflected totally at the interface of the dielectric.The general expressions of Goos-Hanchen lateral displacement and Imbert-Fedorov lateral displacement for biaxial anisotropic medium and isotropic medium with a single interface are derived, and the variation trends of the two displacements with incident angle, chirality of medium and spin direction of electromagnetic wave are analyzed.Fourthly, the full transmission of electromagnetic waves on the surface of biaxial anisotropic media is studied.In view of the single interface between biaxial anisotropic medium and isotropic medium, the conditions for the full transmission of te wave and TM wave are discussed, and the simulation results of the theoretical derivation are given.Finally, the basic propagation properties of electromagnetic waves in biaxial anisotropic media are studied.According to Maxwell's equations and boundary conditions, the reflection coefficient and transmission coefficient of biaxial anisotropic medium and isotropic medium with double interfaces are derived.The guiding conditions of te wave and TM wave in a biaxial anisotropic medium plate are obtained respectively, and a wave divider based on biaxial anisotropic medium is designed, which has simple structure and wide range of parameters.The requirements of incident angle and chirality of dielectric are also relatively low, and the results of fractional wave are verified by simulation.
【學位授予單位】：北京交通大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：O441.4

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