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Born approximation and convolution principle were applied to the simplified model.

我们使用了Born approximation的条件与折积理论来建立此简化模型。

Moreover, all analysis here is based on the first-order Distorted Wave Born Approximation theoretical model that has been quite successful in engineering application.

并且，这里所有的分析都是根据在工程应用中最成熟的一阶畸变波Born近似理论模型。

ABSTRACT In the first Born approximation, the laser assisted ion-and positron-atom charge exchange collisions are studied.

本文在Born近似下，系统地研究了强激光场中裸离子与正电子对原子的电荷转移过程，在偶极近似下。

But the singularity location inversed by Born approximation inversion is false except the first interface.

本文第二章对Born近似反演算法进行了深入研究和分析，指出了Born近似反演存在的问题。

It enlarges the range of quasi-linear Born approximation, and makes the prestack depth migration method based on quasi-linear Born approximation to be able to adapt strong lateral velocity variation.

在散射波场计算中，使用了一个更稳定的散射波场计算公式，扩大了拟线性Born近似的应用范围，使基于拟线性Born近似的叠前深度偏移方法能够适应更强的横向速度变化。

The numerical result demonstrates the Born Approximation can be effectively used for 3D imaging for borehole-ground electrical method. It also demonstrates that the method can be used as the basis for fast 3D inversion in reservoir monitoring application and in water injection exploration.

数值计算的结果表明Born近似是一种有效的井地电法三维快速反演方法，同时也说明井地电法监测油水前驱和储层边界预测的观测数据可以用该方法进行快速三维反演成像。

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。

On the basis of the frequency domain Born approximation theory of the scattering of two dimentional elastic waves, the time domain Born approximate solution to the scattering of elastic wave s with arbitrary frequencies is derived.

在二维弹性波散射频域Bron近似解的基础上，通过Fourier变换，推导了任意频率平面P波组合的脉冲波入射二维散射系统时，散射场的时域Born近似解。

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。

For example: born in the purple, had been born in the imperial family, the aristocrat family of; But a purple patch, the favorable circumstances day, must refers to purple the patch.

born in the purple ，生于皇室、贵族之家；但是a purple patch ，顺境的日子，非指紫色的补丁。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。