金属/电介质颗粒复合介质的非线性交流响应

推广T矩阵法来研究二组分颗粒复合介质的非线性交流响应，解析推导出基频、三次及五次谐波频率下的有效线性介电常数及三阶和五阶非线性极化率的解析表达式.当组分颗粒的介电常数为实数时，表达式同以前微扰理论完全一致.进一步数值计算了金属-电介质复合介质的有效非线性交流响应，数值结果表明，体系的三阶、五阶非线性极化率在表面等离子共振频率附近有明显增强，而且，随着体积分数提高，共振峰增强且伴随着共振频率红移现象.还进一步讨论了维度效应对体系非线性交流响应的影响. 关键词： T矩阵方法 复合介质 非线性交流响应     

弱非线性复合体中的高阶非线性响应

利用谱表示理论和微扰展开法，从理论上给出了适合于一般微结构复合体系的有效非线性响 应的一般表示式，并结合有效媒质近似（EMA），在弱非线性条件下研究了由三阶非线性组 分（体积分数为p）和线性组分构成的非线性复合体系的有效非线性响应，讨论了复合 体系的有效介电常数ε～e=εe+χe|E0|2+ηe|E0| 4中的有效三次非线性响应χe和有效高次非线性响应ηe与体积分数p和 退极化因子L之间的关系，分析了非线性组分的介电常数为复数情形时体系的有效高阶非线 性响应，从理论上说明了组分的高次非线性响应对整个复合体系的有效介电常数的影响.  关键词： 非线性复合介质 有效非线性响应 谱表示理论     

Co／BaTiO3纳米复合薄膜的PLD法制备

纳米金属一陶瓷复合薄膜是纳米金属颗粒嵌埋在介质载体中形成的一种复合材料。在此体系中纳米金属的小尺寸效应、表面界面效应、量子尺寸效应、量子隧穿效应及陶瓷基体的高介电常数及介电强度，赋予此体系独特的光学特性。如高的三阶非线性光学极化率、超快的三阶非线性响应时间及高三阶非线性系数等，在电子器件和光学材料方面有着潜在的应用前景，引起了国内外学者的极大兴趣。     

Te/TeO2-SiO2复合薄膜的吸收和非线性光学特性研究

应用分光光度计测量Te/TeO₂-SiO₂复合薄膜的透射光谱和吸收光谱, 在480nm附近观察到Te颗粒引起的等离子体共振吸收峰; 采用Z扫描技术研究了共振(激发波长为532 nm)和非共振情况下(激发波长1064 nm) 不同电位制备薄膜的Te颗粒状态与复合薄膜的三阶非线性极化率的关系. 基于有效介质理论对复合薄膜的三阶非线性效应进行分析, 研究Te颗粒大小对Te/TeO₂-SiO₂复合薄膜的非线性光学性质的影响及其产生机理. 结果表明薄膜制备过电位增大, Te的粒径减小, 颗粒数量多, 颗粒分布趋于均匀, 使得金属颗粒的表面等离子体共振峰红移, 吸收强度增强, 导致三阶非线性光学效应增强, χ⁽³⁾由1064 nm的5.12×10^-7 esu增大为532 nm的8.11×10^-7 esu. 关键词： 碲 二氧化碲 复合薄膜 三阶非线性     

Λ型三能级原子系统中Raman跃迁增强的Kerr非线性效应

在理论上研究了Λ型三能级原子系统Raman跃迁中的线性和非线性极化率.研究表明: Raman 跃迁中，如果原子完全被抽运到与控制光作用的基态时，将导致介质对探针光的线性极化率 为零，而三阶非线性极化率不为零.通过减小原子两基态间的无辐射衰减速率γ_{12，可以极大地增强交叉Kerr非线性效应.}     

长程电子关联对聚合物中激子极化率的影响

本文研究了在外电场下高分子的线性极化率和三阶非线性极化率,发现电子-电子相互作用使激子线性极化率χ(1)xx和三阶非线性极化率χ(3)xxxx都降低,而长程电子关联效应的作用更进一步降低χ(1)xx和χ(3)xxxx.准确地计算高分子聚合物的极化率可以更好的理解共轭聚合物的长程电子关联对有机分子线性和非线性响应的影响,确定其结构与非线性光学性质的关系.     

长程电子关联对聚合物中激子极化率的影响

本文研究了在外电场下高分子的线性极化率和三阶非线性极化率,发现电子电子相互作用使激子线性极化率和三阶非线性极化率都降低,而长程电子关联效应的作用更进一步降低 和。准确地计算高分子聚合物的极化率可以更好的理解共轭聚合物的长程电子关联对有机分子线性和非线性响应的影响,确定其结构与非线性光学性质的关系。     

ν↓型三能级原子系统中Raman跃迁增强的Kerr非线性效应

在理论上研究了ν↓型三能级原子系统Raman跃迁中的线性和非线性极化率．研究表明：Raman跃迁中，如果原子完全被抽运到与控制光作用的基态时，将导致介质对探针光的线性极化率为零，而三阶非线性极化率不为零．通过减小原子两基态间的无辐射衰减速率γ12，可以极大地增强交叉Kerr非线性效应．     

电磁感应透明介质的高阶非线性特性

在理论上研究了电磁感应透明(EIT)介质的高阶非线性特性。引入一种区别于迭代法的新方法,该方法基于暗共振的分布情况,得到跃迁密度矩阵元的全解,在此基础上得到原子体系对探针光的各阶响应。研究结果表明,线性(一阶)极化率表现破坏性相干,非线性(三阶)极化率表现建设性相干;在各向同性介质中偶数阶次的非线性响应消失。进一步研究发现,五阶极化率和线性极化率一样呈现破坏性相干。研究结果为探索光波在EIT介质传输过程中高阶非线性对光波演化的影响提供了理论依据。该方法为研究高阶非线性效应提供了一种新的理论途径。     

基于耦合双振子模型的手性分子的超极化率

本文从手性分子的耦合双振子经典模型出发,推导出手性分子的超极化率.在特定情况下,给出了三阶非线性极化率的表达式.基于该模型讨论了手性介质分子各向同性分布的宏观非线性极化率.     

The Effective AC Response of Nonlinear Composites

A perturbative approach is used to study the AC response of nonlinear compostie media,which obey a current-field relation of the form J=σE χ|E|^2E with comp[onents having nonlinear response at finite frequencies.For a sinusoidal applied field,we extend the local potential in terms of sinusoidal components at fundamental frequency and high-order harmonic frequencies to treat the nonlinear comosites.For nonlinear composite media with a low concentrations of spherical inclusions,we give the formulae of the nonlinear effective AC susceptibility χ3ω at the third harmonic frequency.     

Effective AC Response of Nonlinear Spherical Coated Composites

Under alternating current electric field, effective response of granular nonlinear composites with spherical coated inclusions is investigated in the dilute limit by using the perturbation approach. For an external sinusoidal applied field with finite frequency ω, the local fields and potentials of composites in general consist of components at all harmonics for cubic nonlinear constitutive relationships. We derive the local potentials of spherical coated composites at harmonics. Moreover, we give the formulae of the nonlinear effective AC susceptibility at the third harmonic frequency.     

Effective Response of Nonlinear Spherical Coated Composites Under External AC and DC Electric Field

Under the external AC and DC electric field, the effective response of nonlinear spherical coated composites, which obey the constitutive relation of electric displacement and electric field, is investigated in the dilute limit by using the perturbation method. The local potentials in inclusion and host regions are derived at all harmonics. Moreover, the formulae of the effective linear and nonlinear responses are given in the dilute limit.     

MNA晶体有效非线性系数的计算

有机晶体MNA不仅具有极好的光学非线性特性,而且有可能生长成天然的波导薄膜,是一种极有潜力的集成光学材料。本文通过对MNA晶体有效非线性系数d_eff的计算,得到其在Ⅰ类和Ⅱ类共线相匹配时的d_eff分别为18pm/V与34pm/V。     

Effective AC response of nonlinear spherical coated composite

An effective nonlinear response of a nonlinear composite with spherical coated inclusions randomly embedded in a host medium under the action of an external AC electric field, {{\bm E}}_a = {{\bm E}}_1 \sin (\omega t) + {{\bm E}}_3 \sin (3\omega t), is investigated using a perturbation method. The local potentials of the composite at higher harmonics are given both in the region of local inclusion particles and in the local host region under the external AC electric field. All effective nonlinear responses of the composite and the relationship between the effective nonlinear responses at the fundamental frequency and third harmonics are also studied for spherical coated inclusion in a dilute limit.     

A theory of nonlinear AC response in coated composites

A method for determining effective dielectric responses of Kerr-like coated nonlinear composites under the alternating current (AC) electric field is proposed by using perturbation approach. As an example, we have investigated the composite with coated cylindrical inclusions randomly embedded in a host under an external sinusoidal field with finite frequency ω. The local field and potential of composites in general consists of components with all harmonic frequencies. The effective nonlinear AC responses at all harmonics are induced by the coated nonlinear composites because of the nonlinear constitutive relation. Moreover, we have derived the formulae of effective nonlinear AC responses at the fundamental frequency and the third harmonic in the dilute limit.     

Effects of Particle Shape and Microstructure on Effective Nonlinear Response

We consider a binary granular composite medium, in which two materials have high-order nonlinearities. The effect of particle shape on effective nonlinear response (ENR) is investigated by assuming all the particles to be shaped as uniaxial ellipsoid. We discuss two types of arrangements of particles: 1) parallel axes (Case I); 2) random axes (Case II). During the process of numerical calculation, one component material is assumed to be linear, and two kinds of conductors are assumed to be at high conducting contrast. We find that: 1) the shape effect on ENR is possibly strong; 2) the enhanced ENR can even be obtained by choosing particles of appropriate ellipsoidal shapes; 3) the ENR enhancement predicted by Case I is much stronger than that by Case II.     

Effective response of nonlinear cylindrical coated composites under external AC and DC electric field

This paper uses the perturbation method to study effective response of nonlinear cylindrical coated composites. Under the external AC and DC electric field E_a(1 + sinωt), the local potentials of composites at all harmonic frequencies are induced. An effective nonlinear response to composite is given for the cylindrical coated inclusions in the dilute limit.     

Self-similarity of nonlinear screening in asymmetric complex plasmas

In this paper, two-component electroneutral systems of finite-sized macroions and oppositely charged point-like microions in the average spherical electroneutral Wigner–Seitz cell with a central macroion are studied. We investigate the self-similarity of nonlinear screening of highly charged macroions by microions in a classical asymmetrically charged complex plasma. This work is devoted to the problem of the relationship between the effective (‘visible’) charge of the macroion Z^* and its initial charge Z taking into account the effect of the nonlinear screening. It is analysed how the form of the dependence Z^*(Z) changes. The self-similarity of this dependence has been demonstrated for various characteristic system temperatures, macroion concentrations, and macroion sizes.     

Black hole shadow in f(R) gravity with nonlinear electrodynamics

By analyzing the propagation of discontinuity in nonlinear electrodynamics, we numerically investigate the related black hole shadows of recently derived rotating black hole solutions in \begin{document}$f(R) $\end{document} gravity. In this context, the geodesic motion of the relevant perturbations is governed by an effective geometry, which is closely related to the underlying spacetime metric. We derive the effective geometry, and the latter is used to determine the trajectory of the propagation vector of an arbitrary finite discontinuity in the electrodynamic perturbations, namely, the photon. Subsequently, the image of the black hole is evaluated using the ray-tracing technique. Moreover, we discuss the physical relevance of metric parameters, such as the nonlinear coupling, spin, and charge, by studying their impact on the resultant black hole shadows.