克尔型非线性薄膜波导的TE模

对于芯区为克尔型非线性介质，覆盖层和衬底为线性介质的平板波导，用Ｋｒｙｌｏｖ－Ｂｏｇｏｌｉｕｂｏｖ－Ｍｉｔｒｏｐｏｌｓｋｙ的渐近法导出了色散方程及场分布的二阶近似数学表达式，计算量大为减少且结果精确。给出了对称和非对称情况的典型实例。     

各向异性非线性介质平板波导中的TM波

本文讨论了在三层平板介质波导中TM₀模的传播问题.三层介质的芯区是一层各向异性的Kerr型介质,上下两层则是线性介质.本文将利用E_x² >> E_x²这一性质,求解非线性方程组,给出零级近似和1级近似的解析解.     

平板波导的非线性耦合

给出了两个平板波导耦合成的定向耦合器,当两波导的间隙为克尔型非线性人质时耦合系数与导波功率的关系的计算公式与计算步骤,给出了耦合区为自聚焦介质及自散焦介质两情况的计算实例,并对计算结果进行了讨论     

正色散克尔介质右光脉冲的传输

综合考虑了在２＋１维正色散介质中克尔效应衍射，色散对光脉冲传输的影响，得到了脉宽，束宽传输的一般规律，并以高斯光束为例用数值法近似讨论了耦合强度，初始脉宽，初始啁啾对自聚焦及自相位调制自脉宽压缩的影响。     

三层非线性平面光波导TM波的精确色散关系

对于介质薄膜波导的一边或两边复盖有介电常数与光强成正比的非线性介质的三种不同结构，本文导出了三层非线性平面光波导ＴＭ波的精确色散关系。对称三层非线性平面光波导的数值计算实例与有限元法的结果完全一致。     

环形光斑激光束在非线性克尔介质中的分束现象

对于非线性克尔介质中的环形斑调制光束,通过数值求解非线性Schrdinger方程,发现当入射光强度超过一定值时,光束在传输过程中发生分束现象.对光分束的阈值、光分束与环半径及半宽度的关系、分束光的特点,以及自聚焦焦点上光强度的横向分布与光分束之间的关系进行了详细的讨论 关键词： 环形光斑 克尔介质 非线性传输 光分束     

Pockels介质平板中的光波传输

本文讨论了非线性对称平板波导中的TE波的偶模及奇模的传输问题.平板波导的芯区材料是由Pockels介质所构成,包层与衬底是相同的线性材料.Pockels介质的介电系数为ε=n²+α|E|,故问题归结为求解芯区的传输方程.本文给出了芯区、包层及衬底中光波的解析解以及传播常量β的本征值方程等.     

M层非线性介质平板中的光波导模

讨论了Ｍ层克尔型非线性介质平板波导中ＴＥ波的传输特性，并给出其导模的解析解。     

环形斑光束在非线性克尔介质中的自聚焦效应

通过数值求解非线性Schrödinger方程,详细讨论了环形斑光束在非线性克尔介质中的传输特性.当入射光超过一定的功率时,光束产生多级自聚焦现象,自聚焦焦点出现在离轴的环上;自聚焦阈值与环形光束的半径有关;传输过程中光斑存在横向分裂现象,并且分裂与聚焦交替进行;当两个半径不同的同轴环状光束同时在非线性介质中传输时产生耦合效应,耦合效应使其自聚焦增强.     

非线性介质光波导中的传输功率和光学双稳态

本文对结构为非线性包层/线性芯层/非线性衬底的非线性介质光波导的传输特性进行了深入的分析,给出了模场分布函数,色散关系和传输功率的一组形式统一的公式,并对其传输功率的光学双稳态特性进行了讨论.     

非线性包层多量子阱波导的TE波

给出用以分析非线性包层多量子阱波导ＴＥ模光学非线性与双稳性的理论公式与计算方法。指出用均方根等效折射率法解本征方程是有效的简化方法。用本文方法分析了模折射率对波导总功率的依赖关系,芯区功率与总功率之间的双稳性以及模场分布与模折射率的关系。讨论了波导参数对光学非线性、双稳性及模场的分布的影响。     

克尔介质中光波的自衍射效率的理论计算

采用前向四波耦合的理论模型研究了薄克尔介质的厚度，吸收，入射光强等因素对光波自射效率的影响，详细分析了光波的位相变化，位相失配以及二波混频项的作用。     

含Kerr介质二维光子晶体波导传输特性的NFDTD分析

利用非线性时域有限差分法(NFDTD)理论,导出了含Kerr介质的二维NFDTD算法的离散表达式,并对含Kerr介质点缺陷的二维光子晶体波导传输特性进行了分析,得到了相应的透射频谱和光场分布图.研究发现,对于输入该波导的归一化频率为0.419的光信号,当入射光强小于2.8×104W/m2时,信号几乎不能通过;当入射光强大于2.5×106W/m2时,信号能通过.这些结果将有助于光子晶体光限幅、光开关等器件的设计.     

Surface waves in a crystal with switching Kerr nonlinearity

In this paper, we explore transverse electric surface waves propagating along the crystal with jump change of Kerr nonlinearity in dependence on field amplitude. The dielectric permittivity in the proposed model of nonlinearity is characterized by abruptly changing unperturbed dielectric constant and Kerr nonlinearity coefficient from one value to another when field amplitude exceeds the threshold value of the switching field. This allows to find exact solutions of model equations in different cases of nonlinearity signs, and to obtain the dependence of wave characteristics, including total power flux, on effective refractive index in explicit form. Such solutions describe two new types of nonlinear surface waves with specific structure depending on electric field amplitude. We derive the conditions of surface domain formation. It is found that the largest percentage of radiation is concentrated within the domain.     

Entanglement Dynamics of Atoms in Double Jaynes-Cummings Models with Kerr Medium

Entanglement dynamics of the atoms in the double Jaynes-Cummings models with the Kerr medium is studied, and the effect of the Kerr medium on that is examined. The result shows that, the Kerr medium can control the entanglement dynamics of the atoms and repress entanglement sudden death. We can obtain the maximum entanglement between the atoms by strengthening the nonlinear interaction of the Kerr medium.     

高斯光束在克尔型非线性介质中演化的奇异特性

由光束在克尔型吸收介质中传输的非线性薛定谔方程出发,推导了高斯光束注入介质后满足的耦合方程。在不考虑高阶展开项的前提下,将介质分为无吸收、有吸收两种情况,对脉冲的腰斑半径的演化进行了解析分析,得到注入克尔型非线性介质中的高斯光束,形成“孤波”必须满足光束在束腰处注入,介质没有吸收的条件;当考虑高阶展开项时,通过数值分析发现,无论介质是否存在吸收,光束传输不存在“孤波”形式,而是在注入强度的控制之下。当注入强度较小时,自聚焦过程是它的一个主要结果。但当注入脉冲的强度增加后,除了腰斑半径不为零的区间增加,光束仍保持聚焦的正常现象之外,存在一个阈值。当注入强度超过此阈值时,腰斑半径随着距离的增加而快速增加,聚焦趋势根本就不存在。     

Spectrum of the Micromaser with Kerr Medium

We have established the master equation for the micromaser with Kerr medium field density operator,studied the spectrum of the micromaser with Kerr medium and analyzed the influence of Kerr effect and the detuning onthe spectrum. In the thermal-atom regime, we find that Kerr effect broadens linewidth D and increases frequency-shiftS, and that the detuning A narrows linewidth D and increases frequency-shift S as a whole. Moreover Kerr effect leadsto oscillatings more rapidly in the resonance peaks, which means that it causes quantum noise. As a whole, with theincrease of cavity-length L, the linewidth D and frequency-shift S gradually increase.     

Phase Properties of Photon-Added Coherent States for Nonharmonic Oscillators in a Nonlinear Kerr Medium

The potential of nonharmonic systems has several applications in the field of quantum physics. The photonadded coherent states for annharmonic oscillators in a nonlinear Kerr medium can be used to describe some quantum systems. In this paper, the phase properties of these states including number-phase Wigner distribution function,Pegg-Barnett phase distribution function, number-phase squeezing and number-phase entropic uncertainty relations are investigated. It is found that these states can be considered as the nonclassical states.