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Chapter 2、When treat propagate problem of high power laser beams, ordinary assume beam to be ideal plane wave or Gaussian. Actually, beams is not ideal Gaussian or plane wave. The reason is that is phase aberraed and intensity nonuniform. In this chapter, we have developed a method on frequency conversion of aberrated beam. Based on statistical optics method and within the limits of thin crystal, we have studies on second harmonic generation of the phase aberrted beam. And the phase aberration is assumed to be a Gaussian random variable.

第二部分：在处理高功率光束传输问题中，通常假设光束为理想平面波或高斯型，而实际光束都不可能是理想的高斯光束或平面波，均会有一定的位相畸变及光强不均匀，本部分从统计光学的观点出发，在薄晶体近似下，建立了具有高斯型随机相位畸变光束倍频转换的一种统计描述方法，并对倍频转换光束的横向空间特性进行了分析。

The derivatives of the nonsmooth equations are computed to make the generalized derivative matrix nonsingular. Then the nonsmmoth damped Newton method is used to solve them.Analytic solutions of the KdV equation with variable coefficients: Shallow water wave problems belong to problems of free surface wave, and can be molded by the nonsmooth equations model given above in principle.

在前面建立的非光滑方程组数学模型和固定网格法基础上，利用广义导数的概念给出了求解渗流自由面的一种新方法-----非光滑阻尼牛顿法，该法是对非光滑方程组求导，适当的处理广义导数矩阵使其非奇异，利用非光滑牛顿法求解。

Thesolutions compose self-contained inner product space (weight function is constant 1),i.e., they are basic series of Hilbert space; hence any internal waves could beexpanded into generalized Fourier series. With difference method, Sturm-Liouvilleequation is transformed to matrix eigenvalue problem. Each eigenvalue is related to ahorizontal wave number, and relevant solution is a certain mode of internal wave.

其解系构成完备的加权(权函数为1)内积空间，即Hilbert空间，从而内波现象可以展成该解系的广义Fourier级数；采用差分方法，将 Sturm-Liouville 方程转化为矩阵特征值问题，每一个特征值对应一个内波波数，该特征值对应的解则是内波的某一模态。

The simulated results show that a stable acoustic standing wave is formed in bubble column under the geometric arrangements and the transducer boundary condition employed in this study. Due to the nonlinear behavior of the resonant wave and viscosity of water, there is a temporal shift at pressure nodes.

模拟结果表明，在本研究所用的几何布置和换能器与时间相关的速度入口边界条件下，反应器中形成了一个稳定的驻波声场；由于波的非线性以及水的粘性，压力波节点呈现出轻微的时间漂移性。

I will often dream , the dream is still colored, and often will be the same dream, except petal that flutter all over the sky, it is skirt that wave with the wind that is it wear dimly discernible leading lady of georgette again to wave, is it flicker who she , but clear to is it become leading lady of dream to wish eagerly by oneself to know each time, long for so as to let me feel poesy very by oneself.

我会经常做梦，梦还是彩色的，而且经常会是同一个梦，除了漫天飞舞的花瓣，就是随风飘动的裙摆再就是穿着缥缈的乔其纱的女主角，每次都不知道摇曳的她是谁，但却清楚明白自己渴望成为梦中的女主角，自恋得让我都觉很诗意。

Base on the experiment on the optical table, two setups are designed to diagnose plume in vacuum box.(4) Foundation information of MATLAB program is presented. Light wave front and light wave linearity transfer are simulated by using MATLAB. And the pole, globosity and cone plasma field interference figures are simulated by MATLAB, and reference fringe is added to the interference.

介绍了MATLAB语言的基础知识，MATLAB实现光波波前以及实现光波的线性传输的方法，并通过编写程序对各种不同的等离子体模型进行模拟，得到了柱状、球状及锥体时候的干涉图像，并可以在干涉图像中加入参考干涉条纹，可以直接得出相位差。

Only a conventional longitudinal testing probe is needed to measurement transverse wave produced by grazing incidence longitudinal wave.

使用常规纵波探头对由掠入射纵波产生的横波进行测量。

The present invention can consume the energy of seismic wave and isolate the destroy of seismic wave to ground building.

本发明的优点是将地震波的冲击能量消耗，以保证隔离地震波对地面上建筑物的破坏力。

A simulation of sky-wave interference suppression in HF ground wave radar system is realized to explain its application in reality.

还利用该方法对高频地波雷达中天波干扰的极化抑制进行了仿真，证明了算法的有效性。

In this paper, the feasibility of the OTH short-wave communication countermeasure system based on ground wave diffraction has been studied.

本文对地波绕射超视距短波通信对抗系统的可行性进行了论证。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。