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In order to solve the problem,We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential manifold. The travel time are expressed as polynomials of the horizontal offset between the two points, and the single-square-root operator in frequency-wavenumber domain are expressed as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddle-point method.

针对此,基于时间空间域到频率波数域和向量场到指数流形上的正反变换,提出了计算单程波算子旁轴走时的简便公式,将走时表示成空间变量(地面点到地下相点的水平距离)的多项式,将频率波数域单平方根算子表示成波数的多项式,运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来,运用单平方根算子的系数计算走时多项式的系数。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此,基于时间空间域到频率波数域和向量场到指数流形上的正反变换,提出了计算单程波算子旁轴走时的简便公式,将走时表示成空间变量(地面点到地下相点的水平距离)的多项式,将频率波数域单平方根算子表示成波数的多项式,运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来,运用单平方根算子的系数计算走时多项式的系数。

Comparing to conventional expansion, our paraxial travel time expansion increases asymmetric terms of the horizontal offset in the expression.

该展开式与通常的旁轴展开式相比,增加了关于空间坐标的非对称项。

Comparing to conventional expansion, our paraxial travel time expansion increases a symmetric terms of the horizontal offset in the expression.

该展开式与通常的旁轴展开式相比,增加了关于空间坐标的非对称项。

A Study on Fraunhofer Double-Slit Diffraction by Applying Simulation Technology;2. Based on Kirchhoffs theory,the approximate intensity formulas of double-slit diffraction of Gaussian Beam is derived under paraxial approximation with power series expansion methods.

依据基尔霍夫衍射理论,利用幂级数展开的方法推导出旁轴条件下高斯光束双缝衍射的近似光强计算公式,并通过数值计算对双缝衍射的基本特性进行了讨论,得出了与其他文献一致的结论,得出了高斯光束下的双缝衍射极小值点比平行光束双缝衍射的极小值点向外移,观察屏中心光能变小;光强分布可由激光斑在衍射屏处的参数调制的结论。

A modified Vlasov equation which describes the evolution of the spatial and momentum distribution of axisymmetrical electron beams is developed based on the statistical dynamics theory.

利用统计动力学方法建立了描述旋转对称电子束的电子空间及动量分布演化的变态伏拉索夫方程,并在一阶旁轴近似下研究出一种半解析计算方法。

Glu could induce disturbances of SS-GH axis and neuronic homeostasis by influencing the secretion of SS and GH, and aggravate CGS by exciting paraventricular nuclei .

与此同时Glu通过影响SS和GH的分泌,使SS—GH轴的紊乱,造成NC内环境的紊乱,并通过中枢室旁核机制具有加重CGS的病理作用。

Even the scalloped rings of Nikon's first SLR lenses were far better, as were the wider rings on Nikon's 1940's rangefinder lenses.

即使是尼康的第一单镜反光相机镜头扇形环远越好,因为人的尼康1940年的旁轴镜头更广泛的戒指。

It's got a bulb mode, which keeps the shutter open as long as you hold the trigger down, and a lomo flash: twist the end of the flash to select different color gel filters, creating some cool effects .

它有一个泡泡模式,当你按下快门的时候,它会将镜盖打开,。扭动旁轴,选择不同的颜色滚动条,制造超炫的效果。

It can take very good photographs. It is easy to use. It is flexible for a rangefinder. It is noisy. This is the worst thing about G2 in my opinion.

我想说的是:它能拍摄非常棒的作品;它非常容易使用;它相对于一个旁轴相机来讲适用范围广;它非常吵,这是我觉得G2最不认人满意的地方。

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