电磁波在周期介质中的传播及二维光子晶体的光子带结构

光子晶体是光学与凝聚态物理交叉的新领域,也是近年来应用物理学的一个重要研究领域,它是一种由介电常数高的(低的)介质在另一种介电常数低的(高的)背景介质中周期排列所组成的人造多维周期结构材料,能够产生光子带隙。频率落在带隙内的光在晶体里沿任何方向都不能传播,因而具有能够抑制原子、分子的自发辐射等诱人的光电子学特性,在基础研究和实际应用上都有着巨大的潜力。本文在这一领域里进行了富有成效的研究,获得了很好的结果。主要有:(1)利用平面波展开方法来计算二维光子晶体的带隙结构。首先,我们设计正方晶胞的二维光子晶体模型。设x₃方向为介质柱的轴方向,二维周期结构在x₁-x₂平面上。晶胞的晶格常数为a,半径为r,介质柱和空气柱的介电常数分别为ε_a=17和ε_b=1,a>2r。设计的核心思想是通过降低光子晶体结构的对称性,消除光子能带在晶体的布里渊区高对称点上的本征简并。(2)对于二维光子晶体的电磁波理论及周期介质中的Bloch波解做了详细的推导,给出了光子晶体中禁带存在的理论依据。同时以正方格子晶格的二维光子晶体为例,验证了电介质在空气圆孔中的排列存在E偏振和H偏振的光子带隙重叠区,称为绝对光子带隙。对于二维的光子晶体,两种本征偏振模式的光子能带结构可以独立地调节,以实现两者的光子带隙的最优重叠, 从而大大提高了二维光子晶体的完全带隙宽度。     

光子数增加的q—相干态的非线典特性

在推广的对易关系ａａ＾＋－ｑａ＾＋ａ＝１下，研究了光子数增加的ｑ－相干态的量子统计性质，利用形变的ｑ－Ｌａｇｕｅｒｒｅ多项式，给出了其经典特性随形变参数ｑ变化的解析表达式。     

多光子光学双稳性的复振幅解析分析

本文应用线性化稳定性分析方法,对用半经典的麦克斯韦-布赫(Maxwell-Bloch)方程描述的多光子光学双稳性进行了复振幅分析.分析的结果表明:在对极化量进行绝热消除后,多光子光学双稳性特性曲线上合作支和单原子支不存在失稳问题,同时说明由软模不稳定性引起的多光子光学双稳性的混沌态不存在,并指出稳定性的第三个条件是双稳性存在的条件.     

Effects of Correlations Between the Real and Imaginary Parts of Quantum Noise on Intensity Fluctuation for a Single-Mode Laser

We study the effects of correlations between the real and imaginary parts of quantum noise on the intensity fluctuation for a single-mode laser. The analytic expressions of the intensity correlation function C(r) and the associated relaxation time Tc in the case of a stable locked phase resulting from the cross-correlation λq between the real and imaginary parts of quantum noise are derived by means of projection operator method. Based on numerical computations it is found that the presence of cross-correlations between the real and imaginary parts of quantum noise causes the intensity fluctuation to increase. A slowing-down phenomenon exists in the sense that Tc increases as a function of |λq|. Thus the decay o[ intensity fluctuation becomes slower.     

Broad Omnidirectional Reflection Band Forming using the Combination of Fibonacci Quasi－Periodic and Periodic One－Dimensional Photonic Crystals

By combining two Fibonacci quasi-periodic structures and a periodic structure to form a heterostructure, abroad omnidirectional reflection band is obtained. From the numerical results performed by the transfer matrixmethod, it is found that the reflection bands of the two Fibonacci quasi-periodic sub-structures and the periodicsub-structure can be compensated for each other. This method is expected to be useful in constructing a one-dimensional quasi-periodic photonic crystal structure with a broad omnidirectional reflection band.     

Direct Measurement of Evanescent Wave Interference with a Scanning Near-field Optical Microscope

Evanescent wave interference is studied theoretically and experimentally. The interference patterns were directly measured with a scanning near-field optical microscope. The acquired image of the interference pattern is clear and has better contrast than that previously acquired with a photon-scanning tunnelling microscope or lasertrapped particles. The spatial period of the interference fringes is 180 nm, which agrees with the theoretical value. The results indicate that the probe of the scanning near-field optical microscope has a resolution beyond 100nm. The relation between the evanescent field intensity and the distance is also measured. When the separation between the probe and the interface is up to 18Ohm, the intensity can decrease to 1/e of the maximum.     

光子扫描隧道显微镜球形样品二维近场强度分析

采用时域有限差分方法计算全内反射和光子扫描隧道显微镜系统。光子扫描隧道显微镜的基本工作原理是隐失波的产生和探测，当入射光在两种介质的分界面上发生全内反射，并在界面处产生非辐射的电磁波——隐失波时，采取对两界面入射光进行分别设置的方法即“三波法”设置入射激励元。分别计算一个球和两个球形样品的近场分布，并计算散射小球为探针，一个球为样品的扫描图像。结果表明：采用二维时域有限差分方法计算能较直观地显示样品表面的近场分布。表明时域有限差分方法在光子扫描隧道显微镜理论研究中具有很大潜力。     

光子晶体光纤模式特征的研究

从基空间填充模出发，将光子晶体光纤的包层等效成均匀介质，从而将光子晶体光纤等效为阶跃折射率光纤。利用等效折射率模型，对光子晶体光纤的模式特征进行了详尽的研究，主要包括模式特性、传输常量、模场分布、功率限制特性、瑞利散射损牦特性、色散特性，等等。并通过功率限制因子这一参量将它与单模光纤进行比较。结果表明，光子晶体光纤单模工作波长范围比较宽，功率限制因子比较高，可用于制作更高抽运效率的光纤放大器。     

超短脉冲光纤激光器新进展及其应用

超短脉冲光纤激光器是目前激光技术研究领域中最具有活力的研究课题．有着巨大的应用前景。本文介绍超短脉冲光纤激光器的发展概况及最新进展，论述掺稀土超短脉冲光纤激光器原理，对其关键技术及多种新型技术方案做了介绍和比较，分析超短脉冲激光器的应用前景及发展趋势。