格林函数

The nodal Green's function methods based on the Neumann boundary condition (the second kind boundary condition) in Cartesian geometry is developed and evaluated in this thesis.

本论文发展了Neumann边界条件格林函数节块法NNGFM，并根据先进的组件均匀化技术-广义等效均匀化理论〓引入不连续因子，消除组件均匀化带来的误差，大大提高计算精度。

The closed-form expressions are derived so that all required differentiations are obtained in closed form and numerical differentiation can be avoided.

特别是对微带和缝隙混合结构的空域MoM分析，旋度算子的微分在谱域进行，并可以给出它们的解析表达式，其对应的空域格林函数可通过高阶的Sommerfeld恒等式获得，从而避免了数值微分。

In this article the Green function theory, numerical methods for carrying out the self-energy calculations, simplified schemes, and applications to various systems are described.

在本文中，格林函数理论，数值方法，简化格式及其在各种系统中的应用将一一描述。

In this paper, The numerical method is adopted to calculate the motions in time domain based on the simple Green function and perturbation expansion method put forward by Isaacson and Cheung.

本文应用简单格林函数和摄动展开的理论方法在时域内对锚泊系统进行了数值模拟。

Concerning the polarization coupling between Rayleigh particles irradiated by various polarized plane light wave, we use self-consistent method and dyadic Green's function, with the near-field condition of kR《1, and neglecting retardation, to derive analytical expressions for the transverse and longitudinal components of optical binding forces.

针对不同偏振态平面光波诱导下瑞利粒子间极化耦合作用，运用自洽场方程和并矢格林函数，在kR《1的近场条件下，忽略延迟效应，分析推导了横向和纵向光学束缚力公式。

In addition, we use plane wave method to describe the reciprocal symmetry in both optics and quantum mechanics.

最后我们进一步应用格林函数方法去处理在近场光学里的问题，并考虑源为电双极的型式，且讨论两种不同的系统。

We apply these set of rules to study three kind of typical quantum problems including harmonic oscillator, double well potential and impulse barrier penetration.

利用这套规则，我们研究了谐振子，双势阱和脉冲型势垒的透射这三种量子力学中典型问题的格林函数。

In the impulse barrier penetration problem, we use the set of rules of constructing the semiclassical green function to obtain the transmission coefficient which is identical to the results evaluated via standard methods.

在脉冲型势垒的透射问题中，我们利用前面提到的求解体系格林函数的规则，得到了脉冲性势垒的透射系数，数值分析表明与用标准的量子力学方法得到的结果相一致。

In some literatures, another equivalence between the WKB method and the path integral approach has been discussed, a set of rules of constructing semiclassical green functions with respect to the position and energy which is the fourier transformation of the semiclassical path integral propagator with respect to position and time was established.

一些文献讨论了WKB方法和路径积分方法的等价性，得到了求解作为坐标和时间域的传播子的傅立叶变换的坐标和能量空间的格林函数的一套规则。

Three-dimensional source distribution theory is used to calculate the wave forces of immobile floating bodies,and the problem of singular points in different Green function is solved.

使用三维源汇分布法计算有限水深中零航速浮体所受到的波浪力，对两种不同形式的格林函数中所共同存在的奇点问题分别进行了处理。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。