【作者】 王成；

【导师】 王政平；

【作者基本信息】 哈尔滨工程大学 ， 材料学， 2009， 博士

【摘要】 左手材料是近几年提出的一种新型人工材料,而单轴各向异性左手材料是左手材料的重要组成部分。若要将单轴各向异性左手材料应用到电磁器件中,就必须对各单轴向异性左手材料的特性进行系统研究。本论文主要研究了光轴与界面成任意角度的单轴各向异性左手材料的电磁特性、界面上的Goos-Hanchen位移和单轴各向异性左手平板波导的特性。主要工作如下：推导了光轴与界面成任意角度的单轴各向异性左手材料中TE偏振波和TM偏振波的色散方程。以色散方程为基础,对电磁波从各向同性右手材料入射到单轴各向异性左手材料时的负折射和反常全反射现象进行了分析。对这种材料层的消逝波放大效应进行了研究。最后对这种材料层的偏振分束特性进行了分析。针对入射波全反射和部分反射情形,对光轴与界面成任意角度的单轴各向异性左手材料薄层的Goos-Hanchen位移进行了详细的讨论和分析。得到了Goos-Hanchen位移的表达式。研究了这种材料层的透射共振增强Goos-Hanchen位移。设计了一种左手材料复合双棱镜。分析了发生折射的条件。用相位稳态分析法,研究了内部界面上反射波和透射波的Goos-Hanchen位移。研究了入射角和光轴与界面的夹角对透射波的Goos-Hanchen的影响。最后简单地探讨了这种双棱镜的潜在应用。推导了单轴各向异性左手平板波导的导模特征方程。以特征方程为基础,研究了非表面波模和表面波模的快慢波特性；分析了表面波模特征方程有或无解的情况；证明了波导的导模之间的正交关系。更多还原

【Abstract】 The left-handed material is one of the advanced artificial materils, and raised in latest years.The uniaxial anisotropic left-handed material is an important part of the left-handed materials.In order to make use of the uniaxial anisotropic left-handed material in the electromagnetic appliances, the characteristics of uniaxial anisotropic left-handed material must be systematically investigated.The electromagnetic characteristics of uniaxial anisotropic left-handed material and the Goos-Hanchen shift of this material film are investigated for the situation of that there is an angle between optical axis and the interface of the material in this paper. The characteristics of the guided modes in a uniaxially anisotropic left-handed material slab waveguide are also studied in this paper. The main points are as follows:The dispersion equations for E-polarized plane waves and H-polarized plane transmitted in the uniaxial anisotropic left-handed material are derived for the situation of that there is an angle between optical axis and the interface of the material waves.Based on the dispersion equations, the negative refraction and anomalous total reflection are analyzed for the case that electromagnetic waves are incident from isotropic right-handed material into uniaxially anisotropic left-handed material.The characteristic of amplifying the evanescent waves is investigated. Polarization beam split property of this material is also investigated finally.For both cases of that the total reflection occurs and partly reflection occurs, the Goos-Hanchen shift at the surface of a uniaxially anisotropic left-handed material film is investigated, for the situation of that there is an angle between the optical axis and the incident surface of the material.The expressions of the Goos-Hanchen shifts are derived. The Goos-Hanchen shift is also invstigated when the transmitted wave resonances.A composed rhomboid prism is designed. The refraction conditions are analyzed. The Goos-Hanchen shifts of the reflected and transmitted wave at the inner interface are investigated. The influences of the incident angle and the angle between the optical axis and the interface are invatigated. Finally, the potential applications of this prism are briefly discussed.The characteristic equations of the guided modes in a uniaxially anisotropic left-handed material slab waveguide are derived. Baed on the characteristc equations, the fast and slow wave characteristics of the un-surface wave and surface modes are investigated. The solutions of the characteristic equation of the surface wave modes are discussed in detail.The orthogonality relations of the guided modes are proved.更多还原