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- Secondly,based on this algorithm,the domain derivative is introduced to solve the reconstruction of the shape of obstacle of Helmholtz equation. 在此基础上，利用区域导数求解Helmholtz方程的区域识别问题。
- In cylindrical coordinates, the transverse magnetic and transverse electric field modes are from the general solutions to the vector-wave equation (Helmholtz equation). 在柱坐标系下，横电及横磁各分量的具体形式来源于矢量亥姆霍兹方程的一般解。
- 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。
- Using method of Cole Hopf transformation,Helmholtz equation was transformed to Riccati equation,and propagation characteristics of guided modes in planar optical waveguides was analyzed in a simple and direct way. 采用 Cole- Hopf变换法 ,将平板光波导导模所满足的二阶常微分方程 (Helmholtz方程 )变换成一阶常微分方程 (Riccati方程 ) ,用较简单且有效的方法分析导模的特性。
- The test problem is the boundary integral equation from the exterior Dirichlet problem for the Helmholtz equation with a smooth arc as its boundary, and it is solved using BEM both with and without the singular elements. 以一条弧为边界的Helmholtz方程外 Dirichlet问题导出的边界积分方程为例 ,分别用一般的边界元法和带奇性单元的边界元法进行计算。
- Abstract: From the Helmholtz equation, the optical field analytical expression of an ultrashort pulse propagating through a small aperture lens was acquired with chromatic and spherical aberration. 摘 要： 从亥姆霍兹方程出发，考虑透镜的色差和球差，得到了超短脉冲经过小数值口径透镜后光场的解析表达式；
- From the Helmholtz equation, the optical field analytical expression of an ultrashort pulse propagating through a small aperture lens was acquired with chromatic and spherical aberration. 摘要从亥姆霍兹方程出发，考虑透镜的色差和球差，得到了超短脉冲经过小数值口径透镜后光场的解析表达式；
- Abstract: 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。
- Based on Biot's theory,using Fourier transform and potential function,the wave dynamic equations for Biot's theory can be deduced to several Helmholtz equations. 基于Biot理论,利用Fourier变换和势函数方法,将Biot波动方程化为一组Helmholtz方程。
- The most obvious one of advantages for IMM is that the Navier Stokes equations can be changed into one set of the Helmholtz equations with the pair of parameters of (k 1, k 2), the horizontal wavenumbers. 由此将Navier－Stokes方程转化为以水平波数（k1，k2）为参数的一组法向Helmholtz方程组，同时可更有效地求解压力。
- Optimized Schwarz Methods for the Helmholtz Equation 求解Helmholtz问题的最优Schwarz算法
- A Fast Algorithm for Solving Helmholtz Equation on Regular Domain 规则区域上Helmholtz方程的一种快速算法
- Fast Multipole Methods for the Helmholtz Equation in Three Dimensions 三维亥姆霍兹方程的快带多极方法
- I can't make this equation come out. 我不会解这个方程式。
- What does x represent in this equation? 这个方程式中的x代表什么?
- Existence and Uniqueness for the Dirichlet Problem of the Helmholtz Equation on Unsmoothed Domain Helmholtz方程在不光滑区域上Dirichlet问题解的存在及唯一性
- The BEM for Dirichlet Problems of Three Dimensional Helmholtz Equation and Its Convergence 三维Helmholtz方程Dirichlet问题的边界元法及其收敛性分析
- A BOUNDARY ELEMENT METHOD FOR THE NEUMANN PROBLEM OF HELMHOLTZ EQUATION BY USE OF A DOUBLE LAYER POTENTIAL IN R~3 用双层位势求解三维Helmholtz方程Neumann问题的边界元法
- Keywords acoustic resonance frequency;spherical resonance cavity;eccentric sphere;Helmholtz Equation; 声共振频率;球形谐振腔;偏心小球;亥姆霍兹方程;
- The equation of wealth with happiness can be dangerous. 把财富与幸福等同起来是很危险的
