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级数展开

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The series expansion for the potential distribution in whole space with the potential distribution on the symmetric axis is derived,some examples are given.

提出了求解轴对称静电场的柱函数展开法,推导出用对称轴上的电势分布表示空间电势分布的级数展开式,并给出了求解轴对称静电场的例子

Based on orthogonal function unfolding theory, the transverse fields can be represented as a superposition of waveguide modes. And according to coupled-wave theory, the time-dependent multi-mode coupling-wave equations (or the generalized telegrapher's equations) and the coupling coefficients among the different modes were deduced. The generalized telegrapher's equations are a set of coupled one-dimensional partial differential equations for the amplitudes of the modes.

应用正交函数的展开理论,将变截面波导中的电磁场表示为横电波和横磁波本征模式的级数;然后根据耦合波理论,推导了考虑波导金属壁有限电导率的变截面波导时域多模耦合波方程组及各模式间耦合系数的表达式。

Then the scattering waves are represented bythe series of Bessel functions expansions.

它是用一个半径足够大的大圆弧拟合半空间表面,再将所有的散射波展开成Fourier-Bessel级数的形式。

When handling the problem of mapping accuracy, the convex-concave expansion technology for Taylor series expansion is adopted.

根据复变函数共形映射理论,讨论Schwarz-Christoffel积分变换的正反求解过程;应用Taylor级数凸凹分级展开技术,处理映射精度问题。

These exact expressions, on the basis of series summations, can efficient remove the singularity of integrands of Green functions and accelerate the computation of impedance matrices.

因为该表达式是基于级数和的准确展开,阻抗矩阵的元素得以准确和快速估值。

Finally, the wave equation of the electromagnetic field of this kind damper isderived from the Maxwells equation. The magnetic flux density at the boundary isassumed to be harmonic, so the analytical result of the wave equation is solved. When therotor rotates, eddy currents flowing inside the conducting material field are caused. Thetangential force acting on the rotor because of the action between eddy currents andmagnetic field is produced. The tangential force causes a retardation torque, which leadsto the increase of power and heating effects.

最后,应用Ahrens的电磁轴承简化模型,从Maxwell方程出发推导了应用于本文所述的被动式电磁阻尼器的波动方程,并用傅立叶级数把矩形磁场展开的谐变磁场作为磁场的边界条件,通过求解波动方程得到磁场的解析解,从而计算了阻尼器对转子的电磁力和由涡流引起的切向力产生的阻尼器附加功耗。

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从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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