亥姆霍兹方程 meaning in Chinese
helmholtz equation
Examples
- Gibbs - helmhotz equation
亥姆霍兹方程 - A new coupled - mode theory based on scalar modes is presented for the anisotropic waveguide with random disturbance via helmholtz equation and a modified dielectric tensor
摘要从亥姆霍兹方程出发，得到了各向异性光波导在弱导近似下的耦合模理论。 - The solving steps are as follows : the field is divided into three regions by the cylindrical surface of the finite - length cylinder and the location of the delta - coils . because " the surface current source is placed at the interface , the non - homogenous restricted equation on the magnetic vector potential is transformed into the homogenous helmholtz equation . by using the method of separation of variables to solve equation and according to the interface conditions and the condition at infinity to determine the unknown constants , the expressions for the magnetic vector potential of the three regions are solved out
在求解过程中，假定放置式圆柱线圈是由无穷多个对称圆环线圈密饶而成，首先求解含有有限长磁芯的通电对称圆环线圈的电磁场：以有限长圆柱磁芯的侧面和圆环线圈所在圆柱面为分界面将场域划分为三个小区域，由于场源放置在内边界面上，使得关于矢量磁位的非齐次约束方程转化成齐次亥姆霍兹方程，利用分离变量法求解，根据分界面郑州大学硕十研究生毕业论文摘要条件以及无限远条件确定待定常数，从而得到各场区矢量磁位的表达式。 - First of all , the algorithm base on the boundary problem of helmholtz equation and finite - difference technique , calculate the field in “ cold ” cavity and disperse the helmholtz equation , as a result of the formula : ax = x . secondly , according to the eigenvalue of matrix theory and applied iterative methods , eigenmode adopt a numerical approach which allows the improved chebyshev polynomial iteration which based on the power method to extract the isolated eigenmode in the spectrum . finally , we resolve the problem of compatibility in software and insert the eigenmode module into the chipic which will have the function of eigenmode analysis
具体的说: ( 1 )首先以电磁理论中的亥姆霍兹方程的边值问题理论和计算电磁学中的有限差分法为基础,计算冷腔中的场分布并离散亥姆霍兹方程,得到标准的本征值问题: ax = x ; ( 2 )然后根据矩阵理论中的eigenvalue问题和数值计算中的迭代方法,采用改进后的chebyshev多项式,在power迭代法的基础上对ax = x进行多项式迭代,实现对频谱中孤立本征模的萃取; ( 3 )最后将用fortran语言编制的eigenmode模块加入到chipic软件中,解决了eigenmode模块与chipic主代码的兼容问题,从而实现了chipic软件的模式分析功能。