散射

Cklund transfo- rmation、Inverse scattering method、Darboux transformation、Hirota bilinear method、similarity reduction eta.

cklund变换法、反演散射方法、达布变换法、Hirota双线性方法、相似约化法等。

Computer Simulation of Bimodal Distribution Superfine Particles Dynamic Light Scattering and Precision Analysis［J］.

双峰分布的超细颗粒动态光散射信号模拟及精度分析［J］。2009，38(9)：

The works in the project just done can be summarized as five respects.(1) A device was designed to fabricate the asymmetrical resonant cavities by a pendant drop. A series ARCs with variable parameters provides a valuable experimental method for investigating the characteristics of ARCs.(2) The relationship between the number of active modes and the shape parameters in an ARC was investigated. The experimental lasing threshold was compared with theoretical result, the good agreement between two shown that it was the decrease of the number of active modes in an ARC that decreased lasing threshold.(3) Dye lasing gain was used to enhance the signals of stimulated Raman scattering of the weak gain Raman modes in a circular cavity made by a pendant drop, the instantaneous SRS spectra of weak gain Raman modes in ethanol was obtained by this new method.(4) The SRS signals of minority compound in a binary chemical complex was obtained by using dye lasing gain method. The detection concentration of minority compound was reduced to an order compared with normal SRS method.(5) A cylindrical circular cavity was formed by a liquid jet, which was used to reduce the pump intensity required for laser induced plasma spectroscopy. The limit of detection of trace element in aqueous sample was greatly decreased by this new method.

我们设计并成功制作了使悬垂液滴连续变形的装置，用此装置可以方便地改变非圆对称谐振腔的几何参数，为ARCs的研究提供了一种有效的实验方法；研究了ARCs中活性模式数和变形参数间的变化规律，激光阈值的数值计算结果和激光辐射的实验结果作了比较，二者吻合的曲线说明ARCs中活性模式数量的减少是受激辐射放大阈值降低的原因；在由单元化合物构成的微型圆对称谐振腔中，首次尝试用"激光增益"增强弱增益拉曼模式的受激拉曼散射信号，获得了乙醇分子中弱增益拉曼模式的瞬态SRS光谱；在由二元混合物构成的微型圆对称谐振腔中，用染料的激光增益增强了少量化合物的SRS信号，把少量化合物的SRS信号探测浓度降低了近一个数量级，在SRS应用于瞬态过程的组份分析方面做了卓有成效的探索；用石英毛细管形成的稳定液拄构成拄形谐振腔，降低了激光诱导等离子体光谱需要的激励能量，有效地降低了水相样品的痕量元素分析极限，为LIPS应用于微量元素的化学分析开拓了一条新的技术路线。

A group of standard reticules are fabricated by binary optics to scale defects. The resolution of the optical system of defects-microscopic scattering imaging is better than sub-micrometer and the view field of a sub-aperture is about 3 mm. An image array of 5×5 sub-aperture is obtained by two-dimensional scanning system.

最终利用该变倍光学显微镜散射成像系统得到能分辨微米量级表面疵病的图像，其单个子孔径物方视场约为3 mm，对X，Y两方向进行5×5子孔径图像扫描成像，并给出了与标准比对的定量数据结果。

This paper developed an efficient finite element method to compute scattering from a body of revolution.

本文给出了一种混合使用有限元和圆柱完全匹配层计算旋转对称目标散射的有限元算法。

These calculation results indicate that the Second-order Born approximation is available on researching the electron-atom scattering in a laser field.

计算结果表明，由二阶玻恩近似方法得出的结果与实验符合比较好，从而说明这种计算方法在研究激光场中电子—原子散射时是准确的。

Because of taking only advantage of the first item in scattering series, method of Born approximation inversion is only suitable to little disturbance imaging. And it will produce great error in condition of great perturbation.

考虑到上述问题，本文在Bleistein和Cohen等人对Born近似的深入研究基础上，运用地震逆散射理论进行深度成像，反演地层奇性界面的位置。

The stable wave-field propagators of one-way wave equation for Born and Rytov approximations are derived by using the local Born and local Rytov approximation methods in the scatter theory of wave-field propagation, and their application effects in prestack depth migration imaging of wave equation are compared theor...

利用波场传播散射理论中的局部Born近似和局部Rytov近似，分别导出了单程波方程的稳定的Born近似波场传播算子和稳定的Rytov近似波场传播算子，然后从理论和实践上比较了它们在地震数据波动方程叠前深度偏移成像中的应用效果。

The inelastic scattering angular distributions of discrete levels and double differential cross sections were calculated and analyzed by using the distorted wave Born approximation theory ,the unified Hauser-Feshbach model and the exciton model.

应用得到的光学模型势参量，根据光学模型、统一的Hauser-Feshbach和激子模型理论以及扭曲波玻恩近似理论，系统计算和分析了中子与58，60Ni反应的非弹散射角分布和双微分截面，理论结果与实验很好地一致。

It is found that the polarization of light has an important influence on the Raman spectra, while the influence of chirality of the boron nitride nanotubes is little.

计算结果表明：光的偏振方向对拉受散射强度影响较大，而手性对拉曼光谱的影响较小。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。