本論文針對電磁波在兩種不同性質的單負超穎材料的特性為主軸。其中一種為人造的超穎材料，另一種為常見的超導材料。在超穎材料中，我們利用介電係數其實部為負及其導磁係數實部為正，與另一種介電係數其實部為正及其導磁係數實部為負的單負超穎材料來分別探討其該材料頻率響應。然而在電動力學的領域中，超導體也可視為一種介電係數實部為負數的單負材料。
第一部分是利用具有實部為負的介電係數，及另一種實部為負的導磁係數之單負超穎材料所組成的雙層材料結構，來探討這種具有單負超穎雙層結構的電磁波特性。此外，就具有衰減成分的單負材料中，分別利用橫向電波與橫向磁波來探討其材料的微波性質，進而計算出其電磁波偏極的程度。在反射率部分，在變化入射角為前提之下，橫向磁波較橫向電波來的大，這與常見實部皆為正的介電係數與導磁係數的材料有著明顯的差異。此外，針對不同材料的厚度及不同的衰減程度之下，研究共振穿隧現象。其結果顯示，在這種特殊的單負超穎材料雙層結構中，上述兩種不同單負材料的正實數項、材料的衰減成分及不同的入射角度皆強烈的影響其共振穿隧的能力。
第二部分是以超導體與介電質薄膜所組成之一維結構光子晶體進而探討其光子晶體在兆赫頻率之電磁波特性。此種特殊的光子晶體結構可以製作出具有光子通帶的多通道穿透式濾波器;在極低溫條件之下，其透射頻譜顯示出一種具有完美梳子狀的共振峰值；反之，在高溫條件之下，其峰值會隨著溫度的上升而趨於陡緩。此外，不同超導薄膜厚度之裝填因子效應也一併被探討。這種特殊結構的多通道濾波器其優越性在於不像以往的光子晶體中必須加入缺陷層方可達到穿透共振行為。
在兆赫頻率之下，我們利用傳輸線理論及二流體模型來探討高溫超導薄膜之表面阻抗問題。在該多種結構下，我們分析在空氣中置入半無窮大超導薄膜、有限厚度超導薄膜與半無窮大基板及有限厚度超導薄膜與基板針對不同兆赫頻率來探討其表面阻抗之關係。

This thesis is devoted to the study of electromagnetic wave properties in the single-negative (SNG) materials. Two kinds of SNG materials will be involved. One belongs to the artificial metamaterial (MTM) and the other is the familiar superconductor (SC).
In MTMs, we have an epsilon-negative (ENG) material defined to have a negative real part of the frequency-dependent permittivity and a static positive permeability, and a mu-negative (MNG) material having a negative real part of frequency-dependent permeability and a static positive permittivity. In SCs, electrodynamics of superconductor tells us that they are ENG materials.
In the first part, we shall investigate the electromagnetic wave properties in a model structure of an SNG bilayer which consists of the ENG and MNG layers. The wave transmission and reflection properties due to the losses from the ENG and MNG materials are investigated. The wave properties are investigated based on the calculated reflectance for the s wave (transversal electric wave) and the p wave (transversal magnetic wave) in addition to the degree of polarization. It is found that the angle-dependent reflectance of p wave is larger than that of s wave, which is contrary to the usual material with both positive epsilon and positive mu. The effects of losses coming from the ENG and MNG materials are specially explored and the roles played by their thicknesses are also numerically elucidated.
In addition, for an ENG-MNG pair, the resonant tunneling is strongly dependent on the above-mentioned two static positive parameters. The values of the static permeability in ENG layer and of the static permittivity in MNG layer for obtaining the resonant tunneling are numerically demonstrated. The influence on the resonant tunneling due to the losses from the ENG and MNG materials is also investigated. Besides, we examine the polarization-dependent resonant tunneling, that is, the angular dependence is elucidated.
In the second part, attention will be paid to the study of terahertz wave properties in a one-dimensional superconductor-dielectric photonic crystal. It is found that a terahertz multichanneled transmission filter can be achieved within the photonic passband. This structure possesses the comb-like resonant peaks in transmission spectrum at low temperature. The number of resonant peaks is directly related to the number of periods. The resonant peak height is lowered and broadened as the temperature increases. The dependence of the filling factor in the superconductor layer is also discussed. This filter containing no defect layer in structure is fundamentally different from the usual multichanneled filter based on a photonic crystal containing a photonic quantum well as a defect layer.
Finally, we shall study the terahertz surface impedance for the high-temperature superconducting thin films. The surface impedances for three model structures are considered in this work. We first treat the intrinsic bulk surface impedance for a superconductor occupying the half space. Second, the intrinsic film surface impedance of a superconducting film of finite thickness is calculated. Third, we calculate the effective surface impedance for a superconductor-dielectric layered structure, i.e., a superconducting film on the dielectric substrate of finite thickness. All calculations that will be made are based on the two-fluid model of superconductors together with the transmission line theory.

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