Helmholtz equation

The optical field distribution in wide planar-waveguide CO_2 gas laser satisfies Helmholtz equation .

平板宽波导CO2激光器波导内光场分布满足亥姆霍兹方程。

BPM ( Beam-Propagation Method ) is an iterative solution of the scalar Helmholtz equation .

BPM（Beam－PropagationMethod）是标量亥姆霍兹方程的迭代解法，用它可计算光振福在光纤或波导中的分布。

Boundary Element Analysis of Two ─ dimensions Helmholtz Equation with Nonlinear Boundary Value Condition

具非线性边值条件的二维Helmholtz方程的边界元分析

Boundary Integral Method for Helmholtz Equation with a Smooth Open Arc Boundary

边界是光滑开弧Helmholtz方程的边界积分法

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

The Virtual Boundary Element Method for Exterior Problems of the 3-D Helmholtz Equation

三维Helmholtz方程外边值问题的虚边界元法

Boundary Integral Method for Exterior Dirichlet Problem of Helmholtz Equation

Helmholtz方程外Dirichlet问题的边界积分法

A new boundary integral equation method for solving exterior boundary value problems of three-dimensional Helmholtz equation

求解三维Helmholtz方程外边值问题的一种新的边界积分方程法

Solving Helmholtz equation by least-square collocation method based on reproducing kernel particle method

基于核重构的最小二乘配点法求解Helmholtz方程

A Finite Element Method for the Exterior Problem of the Helmholtz Equation in an Ocean Waveguide

二维海洋波导中Helmholtz方程外问题数值解的有限元方法

On Helmholtz Equation with Mixed Boundary Conditions

Helmholtz方程的一类混合边值问题的研究

Heterogeneous Multi-scale Method for Helmholtz Equation with Period Micro-structure

小周期结构Helmholtz方程的多尺度计算

By solving the Helmholtz equation , reverse-time migration method in frequency domain is derived .

通过求解Helmholtz方程，推导出频率域的逆时偏移方法。

Some Overlapping Domain Decomposition Algorithms for 2-D Helmholtz Equation

二维Helmholtz方程的一些重叠型区域分解算法

Solving Helmholtz equation in an exterior circular domain

圆外区域求解Helmholtz方程

A Triangular Matrix Preconditioner of the Conjugate Gradient Method for Solving Helmholtz Equation

解Helmholtz方程的共轭梯度法三角阵预处理器

Optimized Schwarz Alternating Algorithms Without Overlap for the Helmholtz Equation

一类非线性变分不等式的加速Schwarz交替法求解Helmholtz方程的非重叠最优Schwarz交替法

Some Regularization Methods for the Cauchy Problem for the Helmholtz Equation in the Rectangular Region

矩形区域上Helmholtz方程Cauchy问题的几种正则化方法

Galerkin Boundary Element Method for Exterior Problems of the 2-D Helmholtz Equation for All Wavenumbers

任意波数的二维Helmholtz方程外边值问题的Galerkin边界元法

This paper presents a discussion on various boundary integral equations reduced from the exterior Neumann problem of Helmholtz equation .

对由Helmholtz方程Neumann外问题化归的各种边界积分方程进行了讨论。

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 method can make it more approximation to Helmholtz equation and it 's answers include WKB approximation .

该法可以更加近似赫姆霍兹方程，且它的解中包含WKB的近似值。

Both of these methods can improve the accuracy of the Helmholtz equation with Neumann boundary problem and get its difference schemes .

这两种方法都使得Helmholtz方程Neumann边界问题的离散精度得到了提高。

In the near region a variational principle is established . In the far region the solution satisfies the Helmholtz equation .

所谓杂交有限元方法为：在近区域建立一个基于变分原理的泛函，用有限元法进行数值计算，远区域解满足常深度的Helmholtz方程。

Generally , the government equation for guided wave with inside lightsource is non-homogeneous Helmholtz equation .

带有内光源的导波的控制方程一般是非齐次Helmholtz方程。

Using Helmholtz equation and Fourier transform , the approximate formulas and numerical results have been obtained under paraxial approximation .

在傍轴条件下导出了相应的近似公式，并给出了数值计算结果。

The five-grid difference format of Helmholtz equation in slanting coordinate have been derived .

推导出斜坐标系下，亥姆霍兹方程的五点差分格式；

We made electric field Helmholtz equation as governing equation , and derived the corresponding system of vector finite element method equations using the Galerkin method .

从电场Helmholtz方程出发，由伽辽金法进行有限单元法分析。

Helmholtz equation usually appears in the area of acoustics , electromagnetics and elastic mechanics . It is very important in science research .

Helmholtz方程常出现在声学、弹性力学、电磁学等领域中，在科学研究中有重要的实用价值。

The kernel in the first kind integral equation arising from exterior Dirichlet problem of Helmholtz equation has a logarithmic singularity .

通过Helmholtz方程外Dirichlet问题产生的第一类积分方程的核具有对数奇性。