The dispersion equation of full relativistic longitudinal plasmon was numerically evaluated , and the dispersion curve and simulated dispersion relationship for full relativistic temperature were given 摘要对完全相对论性纵“等离激元”的色散方程进行数值计算，得到完全相对论性温度下的色散曲线和拟合色散关系。
The tm mode dispersion equation of the coaxial bwo in the infinite guiding - magnetic field is derived and solved numerically . the dispersion curve , operating frequency , and the growth rate are obtained 采用线性理论推导了无穷大引导磁场下的同轴tm模式色散关系式,并编程数值求解了一定条件下的色散曲线、时间增长率、空间增长率。
The dispersion equation represented by the plasma dispersion function is numerically evaluated , the dispersion relationship for nonrelativistic longitudinal oscillation is derived from the kinetic plasma equations 摘要从等离了体动力论方程出发，通过对由原色散函数表示的色散方程进行数值计算来研究非相对论性等离子体纵振荡的色散关系。
3 ) coupled higher - order nonlinear schr ( ? ) dinger equations ( chnlse ) , governing the evolution of two orthogonal polarization components of ultrashort optical pulse in birefringent fiber , are derived from the dispersion relation 3 )从色散关系出发，推导了描述超短光脉冲不同偏振分量在双折射光纤中传输特性的耦合高阶非线性薛定谔方程( chnlse )与用多重尺度法得到的相同。
The results show that , as for the single - mode transmission , the dispersion relations yet include space - dispersion ( k dispersion ) which relates to angular spectrum of fields of in - waveguide , in addition to the material - dispersion and the waveguide - dispersion 分析结果表明：对于单模传输，色散关系中除了与频率有关的材料色散和波导色散外，还应包括与输入端光场的角谱有关的空间色散( k色散) 。
The major findings are listed below : ( 1 ) the film of 4 . 1 ml consists of superparamagnetic nano - cluster with large perpendicular anisotropy and in - plane uniaxial anisotropy . the oscillatory curve of is symmetrical which can be described by a function of sin square Iml时，未形成连续薄膜，而是超顺磁性的团簇，具有很大的单轴的垂直各向异性和平面单轴各向异性，色散关系曲线是对称的正弦类曲线。
Then the nonlinear coupled electromagnetic and electron motion equations were obtained from the lorentz equation . and numerical calculation and analysis of cold cavity by pic software were applied to analyze the both hot and cold dispersion characteristic of this waveguide 接下来,从电子运动方程出发得到了自洽非线性方程组,通过一阶线性近似导出了螺纹波导中注波互作用色散关系,从中分析该波导超宽带特性。
A new terahertz source of folded waveguide traveling - wave - tube which based on vacuum electronics is introduced , which may answer the question for scarcity of small , economical terahertz source with continuous wave of high average power . secondly , transmission characteristics of terahertz wave in the periodic slow wave circuit of folded waveguide traveling - wave - tube have been researched combined with development of micro - fabrication technology . dispersion relation and interaction impedance of the slow wave circuit are deduced by the way of equivalent circuit , and results accounted by theory are close to those simulated by software 其次,结合计算机模拟技术对这种新型太赫兹辐射源的折叠波导慢波线路传输特性进行研究:用等效电路法从理论上推导了慢波电路场、色散关系及线路耦合阻抗,电磁模拟软件计算得出的慢波电路色散曲线与理论计算所得结果基本上一致,表明这种尺寸的慢波电路在太赫兹频段有着色散曲线较平坦以及宽带、低损耗的良好传输特性。
Using the two - stream fluid model , the linear dispersion relation is derived assuming a two - dimensional spatial geometry . two cases are considered , one is that the 2d spatial geometry is defined by the plane containing the two counterstreaming electron populations and the perturbation wave vector ( referred as the xy plane ) , and the other is that the geometry is defined by the plane being vertical to the two counterstreaming electron populations ( referred as the yz plane ) 对高能束流和电子回流构成的双流系统，建立冷等离子体流体模型，采用简正模分析方法，分别考虑扰动波矢在平行于电流传播方向的平面(记为xy平面)上和在垂直于电流传播方向的平面(记为yz平面)上这两种情况，推导了不稳定性的色散关系。
The first order nonlinear hyperpolarizabilities in second - harmonic generation process and electro - optical pockels effect are computed . the basis set effects in ab - mitio quantum - chemical computation are mainly studied . the correction to the nonlinear optical properties due to the electronic correlation energy is discussed and the relationship between the first order hyperpolarizabilities and the frequencies of the external electric field is also investigated 计算了二次谐波振荡过程和电光pockels效应过程的一阶非线性超极化率，研究了电子的相关能对pna分子的非线性光学性质的影响以及pna分子的一阶非线性超极化率与外加光电场频率之间的色散关系，并着重讨论了量子化学从头计算中基矢组的选取对计算结果的影响。
