采用样条配置法数值求解环流器等离子体撕裂模方程。
Using spline collocation method to solve plasma tearing mode equations numerically is introduced.
文应用WKB法导出了指数折射率平面光波导的模方程。
The mode equations of the planar waveguides with exponential index profiles are derived by using WKB method.
详细地给出耦合模方程近似处理的方法，并说明了其合理性。
The approximate numerical method to deal with the coupled mode equations is presented in detail and the rationality of the method is given.
耦合模方程、反射率公式、传输矩阵公式的详细推导在附录中。
The coupled mode equation, reflectivity formula and transmission matrix formula are strictly educed in the appendices.
从麦克斯韦方程出发详细推导了周期性介质波导的耦合模方程。
Detailed coupled-mode equations of periodic dielectric waveguides are deduced from Maxwell equations.
首先从耦合模方程出发，比较了数值分析结果与小信号近似分析的结果。
Firstly, the comparison of numerical analysis results and the small signal analysis results is given based on the coupled mode equation.
利用固有值和固有矢量的方法解出了耦合模方程，并对其进行理论性分析。
We have obtained the coupled-mode equation by using the eigenvalues and eigenvectors, and given a theoretical analysis.
介绍了峰峰值和有效值的偶合模方程，给出了峰峰值P矩阵和有效值P矩阵的表达式。
The peak to peak values and effective values COM equations are introduced in this paper and the expressions of the peak to peak values P matrix and the effective values P matrix are also given.
本文根据我们新建的激光器模型，导出了非线性成形飞秒光脉冲的量子理论锁模方程。
In this paper, a quantum mode-locked equation has been established on the basis of a new laser model, that describes nonlinear shaping for femtosecond light pulse.
采用打靶法，数值求解了在负磁剪切托卡马克等离子体中离子温度梯度驱动的复本征模方程。
An eigenmode equation of ion temperature gradient driven instability in a tokamak plasma with negative magnetic shear is solved numerically by the shooting method.
利用耦合模方程，对具有不同耦合系数的线性啁啾光纤光栅的色散特性进行了理论和数值分析。
The dispersion of linearly chirped fiber gratings with different coupling profiles is studied theoretically and numerically using coupling mode equations.
本文对渐变型波导的模方程，进行严格的推导，得到解析表达式，从而给出了数值求解的方法。
The graded-index optical waveguide mode equation is strictly derived. We get an analytical equation and provide a method of numerical calculation.
利用倾斜光纤光栅的结构特点和光栅中光波的耦合模方程，分析研究了倾斜光纤光栅的反射特性。
The reflection property of the fiber tilted-grating is discussed by the structure and coupled-wave equation of the fiber tilted-grating.
从耦合模方程出发，推导了切伦科夫倍频转换效率公式，并得出该效率主要是由交叠积分决定的结论；
By using coupled-mode equation, the formula for conversion efficiency of Cerenkov second harmonic generation (CSHG) is deduced in this paper.
基于非线性耦合模方程，研究了非线性管理光纤光栅中的调制不稳定性，得到了调制不稳定性的色散关系。
Modulation instability in fiber grating with nonlinearity management is studied based on the nonlinear coupled-mode equations. The dispersion relation for modulation instability is obtained.
在多输入系统控制中提出了全程滑模变结构控制方案和利用等效滑模方程进行的递阶滑模变结构控制方案。
A global sliding model variable structure control approach and a sort of hierarchical switching scheme used with equivalent equation are proposed for a class of multi-input systems.
采用传统的耦合模理论，建立了单螺旋手征长周期光纤光栅的耦合模方程，并以螺旋芯光纤为例进行了理论分析。
Using conventional coupled-mode theory, a set of coupled-mode equations are formulated for single-helix chiral fiber long-period gratings. A helical-core fiber is analyzed as an example.
它通过常见的谐振波长与周期的关系曲线，不用解耦合模方程就可以直接分析LPFG的振波长的漂移和调谐特性。
Through the curve of resonant wavelength versus period, we present a new method to analyze the shift of resonant wavelength of LPFG during UV laser writing without solving the coupled-mode equations.
用积分本征模方程研究了在托卡马克等离子体中包含全部动力学效应的动力剪切阿尔芬波模（无论是否存在温度梯度） 。
Kinetic shear Alfvn modes in tokamak plasmas (with or without temperature gradient) in the full gyrokinetic limit are numerically investigated by using the integral eigenvalue equations.
导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
本文第一部分运用耦合模理论推导了在光纤光栅中传播的光的基本传输方程以及给出各个参数的物理意义。
Firstly, basic transmission equation of transmitted light is given using coupled-mode theory in Fiber Bragg Gratings and physics meaning of every parameter is given.
通过分析该格式的误差方程，得到格式的H_0 ~ 1 -模误差估计。
After the error equations are analyzed, the H_0 ~ 1-error estimate and stability are derived.
提出了一个LU局部分解方法来求解注射充模过程的压力方程，并与其他迭代方法进行了比较。
A local LU factorization method was proposed to solve pressure equation for mold filling in injection molding and was compared with iterative methods.
利用电子束的弗拉索夫分布函数理论和三维波导模的波动方程求得在康普顿区域中的散射波色散关系。
By making use of the Vlasov distribution theory and the three dimensional wave equation of waveguide modes, the dispersion relation of scattered waves in Compton region is deduced.
运用线性系统理论分析了阵列波导光栅的模场特性，导出器件传输的数学模型即光栅方程。
The characteristic of arrayed waveguide gratings is analyzed with the linear systems theory and the optical grating equation is educed.
本文在考虑等离子体厚度效应的情况上，详尽地推导了充填圆环状等离子体的圆柱波导中TM模慢电磁波的色散方程；
The dispersion equation of TM mode slow wave in a cylindrical waveguide having an annular plasma sheet is derived under the condition of plasma thickness effect.
FW运动控制方程所描述的是丝嘴和芯模的速度耦合关系。
What the FW motion equation describes is the coupling ratio of the motion speed of the model and payout.
提出了一种新型的分步有限差分(SSFD)算法来求解非线性锁模脉冲传输方程。
A novel numerical algorithm SSFD (split-step finite difference) has been presented for solving nonlinear pulse propagation equation.
提出了一种新型的分步有限差分(SSFD)算法来求解非线性锁模脉冲传输方程。
A novel numerical algorithm SSFD (split-step finite difference) has been presented for solving nonlinear pulse propagation equation.
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