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According to the electric field integral equation of the surface, the recursive solution for the induced current on the slight rough surface is derived using the perturbation expansion of the surface, and the method for computing the interaction field is given.

根据粗糙表面电流积分方程并利用表面微扰展开,得到了微粗糙面表面极化电流的迭代解,给出了耦合电场的计算方法。

By using the perturbed chaotic solution we investigate the new type of Melnikov chaotic regions,which depend on an integration constant co determined by the boundary conditions.

利用微扰的混沌解,我们得到一种新型的Melnikov混沌区域,它与由边界条件决定的积分常数c_0密切相关。

One is the theory of perturbation based on the inverse scattering transformation, which is essential method in searching the solution of soliton, so it have important academic meaning, however, the method is not easily understood and grasped because of its complicated line of thinking.

逆散射法是求孤子解的基本方法,这种微扰论有重要的学术意义,但它的思路迂回曲折,不太容易理解和掌握,因此实用上并不十分方便。

In chapter five, the base band signal process of CDMA base station simulator system is introduced, including channel coding and decoding, interleave and disinterleave, PN sequence generator, orthogonal spread spectrum and quadrature Spreading, scrambling code, power control, digital forming filter, the capture and track of PN code, dispreading and demodulation, etc. Some FPGA design graphic and waveform simulation of base band transmitter module is given and realization algorithm of base band receiver is discussed in detail.

第五章介绍了CDMA基站仿真系统的基带信号处理过程,包括信道编译码、交织与去交织、PN码发生器、正交扩频与四相扩频、扰码、功率控制、数字成形滤波器、PN码的捕获与跟踪、解扩与解调等,并给出了基带发射机模块的部分FPGA设计原理图和波形仿真,详细论述了基带接收机模块的实现算法。

For intramolecular electron transfer reactions in solution,the fluctuations of the intramolecular vibrational modes are much faster than that of solvent mode.Thus,the reaction-diffusion equation is commonly used to describe the motion of solvent,with a sink function to treat the vibrational high-frequency mode.Based on this theory-so -called the Sumi-Marcus theory,we proposed an imaginary-time split operator approach to solve the reaction-diffusion equation.The approach is applied to evaluate the intermolecular ET rate between oxazine 1 and N,N-dimethlaniline.By measuring the two average survival times of the donor state probability and the rate constant in long time limit,the full kinetics of the ET is revealed with a variety of sink functions.

对于扩散控制的溶液中的电子转移反应,分子内振动模的运动比溶剂运动快很多,Sumi-Marcus理论提出用反应扩散方程(reaction-diffusion equation)处理溶剂的扩散运动,而分子内的振动用sink函数来表示,我们基于此理论发展了用虚时间分裂算符的方法(imaginary-time Split operator approach)解反应扩散方程,并将其应用于嗪1(oxazine 1,OX1)和N,N-二甲基苯胺分子之间的电子转移反应,Sink函数采用几种不同的微扰表达式,通过计算得到给体几率衰减的两种平均速率和长时间极限下的速率常数,揭示了该体系电子转移过程中的一些动力学性质。

For polydisperse systems at large Péclet number, we establish the systems of differential equations describing the leading term and the second term of the pairdistribution function via regular perturbation method.

针对高Péclet数情形,通过正则扰动法我们建立了决定对分布函数的微扰展开的主导项和一阶项的联立方程组,并用由此算出的对分布函数的数值解计算了系统的沉降系数。

To be the heart of the dissertation, the fundamental coupling equations of multi-conductor system with both parallel and cross conductors existed are drawn by using secondary field theory. In addition to the strict solution, a kind of approximate solution, namely, equivalent transmission line equation is presented.

作为本论文的核心,重点研究了地下存在受扰多导体时地下场的分布情况,利用二次场的方法,得到了地下平行、交越多导体系统的基本耦合方程,除给出该方程的严格解外,还给出了一种近似解法——等效传输线方程解法。

At first, we give the more precisely expression of the system in some sufficiently small neighborhood of the saddle point under some suitable transformation, and use the foundational solutions of the linear variational equation of the unperturbed system along the homoclinic or heteroclinic orbits as the demanded local coordinate system.

首先,我们在鞍点的充分小邻域内给出系统在适当的变换下的更加精确的表达形式,利用未扰系统沿同宿,异宿环的线性变分方程的基本解组作为系统在同宿,异宿环的小管状邻域内的新的局部坐标系。

Full vibrational energy spectra {E} and molecular dissociation energies D are studied using conventional least-squares fitting and an algebraic method proposed for some diatomic electronic states of NaK molecules.

应用传统的最小二乘法和作者基于微扰理论建立的代数方法,本文研究并比较了双原子分于NaK的部分电子态的振动能谱和离解能。

Soliton solutions in noncommutative field and the string theory often provide important clue for the behavior of nonperturbative and strong couple of the string theory.

非对易场和弦理论中的孤子解经常对弦理论的非微扰和强耦合行为的研究提供重要线索。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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