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.
本文利用微扰法，导出了克尔型非线性对称平板光波导t E模传播常数的近似计算公式。
A perturbation method has been developed to derive the approximate computing formulae of propagation constants for te modes on Kerr-type nonlinear symmetric slab optical waveguides.
平均光子数、场模与原子耦合常数的变化对光子统计性质的影响也很明显；
The influences of the atom-field coupling constant and the mean photon number on the statistic properties of photon are noticeable.
此外，推导出波导tm、TE模的传输功率、损耗功率、衰减常数、等效阻抗等特征参数的边界元公式。
Furthermore, the formulae of transmitted power, loss power, attenuation constant and equivalent impedance for TM and te modes are deduced.
它具有与激励模相同的传输常数，但幅度却以芯径渐缩的速率衰减。
It has the same transmission constant as the exciting mode, but its amplitude reduces at the decreasing ratio of core radium.
导出了克尔非线性梯度折射率光纤轴对称模传播常数的解析公式。
The analytic formulas of propagation constants of axisymmetric modes in a Kerr law nonlinear graded index optical fiber are derived.
介电常数虚部大（绝对值），而且包层模序也大时，损耗较大。
The loss is greater when the imaginary part of the complex dielectric constant is bigger and the mode order is higher.
应用傅里叶交换法计算了硅光波导中导模的传播常数。
The Fourier transformation is used to calculate the propagating constants of the Si waveguides.
针对控制增益为未知常数和未知函数两种情形，分别提出分散自适应滑模控制器设计新方案。
Considering two cases that the system has constant control gains or function control gams, two novel decentralized adaptive sliding mode control schemes are presented, respectively.
对交换环定义了广义p F环的概念，即一切具有常数秩的有限生成投射模都为自由模的交换环。
A generalization of PF rings relative to commutative rings: rings all finitely generated projective modules with constant rank of which are free is defined.
应用全矢量电磁场有限元方法，计算了保偏光纤的两个偏振模场的分布、传输常数及模式双折射。
This fiber's polarization modes, transmitting constants and modal birefringence were computed by the full vector finite element method.
一阶振荡导模的传播常数随着平板厚度的减小而增加，此性质与传统的金属包覆波导不同。
The propagation constant increases with decreasing slab thickness for the first-order oscillating mode, which is different from that in traditional metal-cladding waveguides.
在此基础上又提出一种双模式均衡方案：多模算法模式和常数模算法模式。
Then, we present a scheme which is capable of operating in two modes:constant modulus algorithm mode and multiple modulus algorithm mode.
原子和每个腔模的相互作用时间均为，其中是原子和腔的有效耦合常数。
The interaction time between the atom and cavity modes are all, where is the effective atom-cavity coupling constant.
通过改变一模的光强可以改变另一模腔场谱的频率，也可以改变相对耦合常数同时改变两模腔场谱的频率。
The frequency of one mode field spectrum is tuned by the intensity of the other mode. The frequencies of two modes spectra can be changed by the relative coupling constant.
从而推得多叶应力区扭转光纤中的超本地模，由超本地模的相位常数来确定该光纤的双折射。
Then, super-local modes in multi-lobe stress region spun fibers can be obtained by using mode transform. Finally, the fiber birefringence is decided from the phase constants of super-local modes.
研究一类局部对称Riemann流形的紧致超曲面，得到了使浸入超曲面的第二基本形式模长的平方为常数的几个充分条件。
Some sufficient conditions arc obtained, under which the Square length of the second fundamental form of the immerse hypcrsurfaces is a constant.
计算结果表明：在工作频段内螺旋波纹波导中场结构是一种混合模，以TE21模为主，其群速基本接近常数。
The result indicates that the hybrid mode can be given within work frequencies, in which the main mode is TE21. The value of group velocity of hybrid mode is a constant number.
另外，当通过复介电常数的虚部引入光学增益后，我们发现缺陷模在增益介质中被放大，其阈值特性和缺陷折射率的密切相关。
We find that dispersive properties inside the micro-cavity lead to frequency shift of the defect modes. The defect modes can be amplified as optical gain is introduced into system.
另外，当通过复介电常数的虚部引入光学增益后，我们发现缺陷模在增益介质中被放大，其阈值特性和缺陷折射率的密切相关。
We find that dispersive properties inside the micro-cavity lead to frequency shift of the defect modes. The defect modes can be amplified as optical gain is introduced into system.
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