【作者】 刘佳；

【导师】 丁长庚；

【作者基本信息】 南京航空航天大学 ， 无线电物理， 2014， 硕士

【摘要】 超材料是人工合成的电磁材料，具有许多常规介质不具备的新奇的电磁性质，因此可以制成新型的电磁器件。超材料的研究已经涉及到了电磁领域的各个方面，并得到越来越多的关注。本文研究了超材料在光子晶体、超透镜和变换光学三个方面的应用，主要内容如下：一、我们用转移矩阵方法研究了包含负折射率缺陷层的一维光子晶体的光学传输性质。这个结构有很好的滤波特性，缺陷模为狭窄的透射峰。研究结果表明：当滤波器中常规介质层光学长度不变时，带隙宽度取决于常规介质的折射率比值。带隙中的透射峰的位置随缺陷层光学长度的变化呈现出准周期性变化特征，变化周期约为半个中心波长。二、采用多层半圆柱结构，我们设计了可适用于多波长的超越衍射极限的远场超透镜。该结构由两种介电常数依赖于入射电磁波波长的半导体材料组成。数值模拟显示所设计的超透镜可以在多个波长下实现远场成像。该超透镜的工作波长范围取决于等离子共振介质性质，适当的改变各层的厚度比也可对工作波长范围进行微调。三、利用保角变换方法设计了双向的准直透镜，该透镜有结构简单和材料介电常数各向同性的特点，这表明在某些变换光学领域保角变换比坐标变换法更优越更实用。更多还原

【Abstract】 Metamaterial is a kind of artificial electromagnetic material and has attracted more and moreattention due to their unique electromagnetic properties. In this thesis, we design and analyze somenew electromagnetic devices focusing on the application of metamaterial, including photonic crystalfilter, superlens and transform optics. The main contents can be stated as follows：1. By using the transfer matrix method, we investigate the optical transmission properties andapplications of one-dimensional photonic crystals containing a negative refractive index defect layer.We find that the structure has a good filtering character, where its defects modes are a narrowtransmission peak inside the band gap. The results show that the band-gap depends on the refractiveindex ratio of ordinary materials when the optical length of those layers remains unchanged. And thetransmission peak shifts quasi-periodical depending on the optical length of the defect layer, and theperiod is about half a central wavelength.2. We study a hyperlens with the multi-layered half-cylindrical structure, which can get thefar-field optical imaging beyond the diffraction limit at different wavelengths. The hyperlens consistsof two kinds of semiconductors whose dielectric permittivity depends on operating wavelength.Numerical simulation shows that this hyperlens can fulfill a far-field superlensing condition atmultiple different wavelengths. The wavelength range of this hyperlens can be controlled by choosingappropriate dielectrics, and each range can be fine tuned by thickness radio of the two dielectriclayers.3. We design a bidirectional collimating lens using the conformal mapping method. The lenshas the characteristics of simple structure with isotropic refractive index. It shows that conformalmapping is more superior compared to coordinate transformation in some transformation opticalregimes.更多还原