English translation for "helmholtz equation"
|
- 亥姆霍兹方程式；黑目合兹方程式
黑目合兹方程式
Related Translations:
helmholtz: Helmholtz , H.L.F.von 冯赫姆霍尔兹〔1821-1894，德国生理学家及物理学家〕。
- Example Sentences:
| 1. | A class of nonlinear local orthogonal transformations for helmholtz equation
方程的一类非线性局部正交变换 | | 2. | 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。 | | 3. | The general forms of the transformed new equation and the coefficients are also given . numerical simulations show that it can be efficiently used in solving the helmholtz equation
数值模拟表明，适当地选取某些非线性局部正交变换来求解在曲底区域中的helmholtz方程，确实可以改善数值求解的效率。 | | 4. | 2 ) in order to solve the scattering and diffraction of sound radiation , in this dissertation , based on helmholtz equation and its boundary equations , modeling of three - dimensional fem is given for computing low frequency sound transfer function in small enclosures
2 )为解决声音在传播过程中所发生的散射和衍射现象，本文基于有源helmholtz方程及其边界条件，建立了求解小尺度封闭空间内低频声传递函数的三维有限元模型。 | | 5. | The fft of helmholtz equation on the regular domain is studied . and the multifrontal algorithm is used to solve the matrix equations in computational electromagnetics . finally , the finite - difference approximate forms of maxwell equations and the despres transmission condition are discussed
为了充分提高算法的计算效率，研究了规则区域上helmholtz方程的fft快速算法，以及有效地将多波前算法引入计算电磁学领域用于求解差分稀疏矩阵方程。 | | 6. | A new approach , the multipole theory ( mt ) method , is briefly described for analysis of waveguide eigenvalue problems . the essential concept is to represent the solution of the waveguide partial differential equation by the generalized mt formula of 2 - d helmholtz equation . the applied rules and the procedure of the mt method are also introduced . by calculating and analyzing some engineering problems , it is shown that the mt method is an effective approach for analysis of waveguide eigenvalue problems
本文利用多极理论分析波导本征值问题.给出用多极理论分析波导本征值问题的使用规则和实施方法.实例计算结果表明，用多极理论分析波导本征值问题，不仅具有较高的计算精度，而且可以很方便地应用于波导工程问题的设计与计算，多极理论是一种有效的波导本征值分析方法 | | 7. | 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。 | | 8. | First , in virtual of identification of flaws is a typical of in - verse problems , proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation , the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given . second , the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon . finally , indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects , meanwhile , the proof of possibility for near - field measurements and nu - merical simulation are given
由于缺陷的识别是一类典型的反问题，因而首先从时谐电磁maxwell方程和helmholz方程出发，具体地阐述了求解正散射问题的有关方法，包括各种(夹杂)边界条件下的数值解法，就解的存在性唯一性给予了肯定的回答；随后对逆散射问题的理论作了简短的回顾，包括解的唯一性以及非线性不适定积分方程的处理等；然后对均匀介质和非均匀介质的逆散射问题建立了在各种边界条件下的边界识别的指示函数方法，鉴于近场数据获得的重要性，对近场测试时边界识别的方法给予了相应的证明，并且实现了数值模拟。 | | 9. | On the base of mathematical domain decomposition method ( ddm ) , this paper investigates systematically the quasi - static problems based on laplace equation , the transmission problems in waveguide based helmholtz equation and the three - dimensional scattering and radiation problems based on maxwell equations . the theoretical system is built for the further exploration of ddm in electromagnetic problems
本文在区域分解法已有的数学基础上，从基于laplace方程的准静态问题，到基于helmholtz方程的波导传输问题以及基于maxwell方程的三维散射辐射问题，系统地探讨了该方法在电磁领域中的应用，为进一步扩展应用研究建立了理论体系。 | | 10. | It also roundly researched the solution of the helmholtz equation in the circumrotating ellipsoidal coordinates , and discussed how to calculate the solution of the electro - magnetic field in the circumrotating ellipsoidal coordinates using special functions , and researched circumrotating ellipsoidal cavity ’ s latent value and quality parameter using arithmetic simulation , finally we compared the ellipsoidal cavity with the spheriform cavity . the main content of this thesis are as following : 1 . calculated the distribution of the electro - magnetic field inside the ellipsoidal cavity based on maxwell equations and boundary conditions , and confirmed the syntonic mode inside the ellipsoidal cavity using arithmetic methods
本文从maxwell方程及其边界条件求解出椭球腔内的电磁场分布,较为全面的研究了旋转椭球坐标系下赫姆霍兹方程的解的问题,讨论了用特殊函数来求解旋转椭球坐标系下电磁场的解,并通过数值仿真研究了旋转椭球谐振腔的本征值和品质因数,并和球形谐振腔做了比较,主要内容为: 1 .用maxwell方程及其边界条件求解出椭球腔内的电磁场分布,并且分析了椭球腔内的谐振模式。 |
- Similar Words：
- "helmholtz coil circuit" English translation, "helmholtz coils" English translation, "helmholtz contraction" English translation, "helmholtz contraction time" English translation, "helmholtz double layer" English translation, "helmholtz flow" English translation, "helmholtz formula" English translation, "helmholtz free energy" English translation, "helmholtz function" English translation, "helmholtz function criterion" English translation
|
|
|
