multipole field 中文意思是什麼
multipole field
解釋
多極場-
The major work is as follows : solution of two dimensional radiation or diffraction fluid field. this thesis extends multipole expansion method to adapt to disturbed fluid fields of 2d floating bodies with asymmetric forms, which is applied with symmetric forms originally. and given the solution of potential velocity and hydrodynamic pressure of radiation and diffraction fluid fields, which is incited by a 2d arbitrary form, actual application field of the multipole expansion method has been enlarged
關於二維擾動流場的求解：將通常僅適宜求解具有對稱形狀二維物體擾動流場的多極展開法（保角變換方法）擴展至非對稱形狀二維物體，給出了任意形狀二維物體的輻射和繞射流場的速度勢及水動壓力的頻域解，進一步擴大了多極展開法的實際應用范圍。 -
Influence of multipole deflection field on electron beam defocus
多極偏轉場對電子束散焦的影響分析 -
Frictional contact multipole - bem analysis of traction field in screw pairs
軋機壓下螺紋副不等厚螺牙面力場的多極邊界元解析 -
After solution of radiational and diffractional fluid field of asymmetrical sections by applying the multipole expansion method, wave loads on damaged ships are calculated by the linear strip theory under the non - upright floating condition, taking the effect on the heel angle and trimming angle caused by the damaged tank inundation below waterline into account
然後採用線性切片理論，計及水線以下破損后船舶由於艙室進水產生的橫傾角與縱傾角的影響，利用多級展開法求解非對稱剖面的二維輻射和繞射流場，計算了破損船體非正浮狀態條件下的波浪載荷。 -
From the exact expression of the field, we obtain a multipole polynomial expansion, and under the paraxial condition we furthermore obtain the approximate expression. the loffe trap, consisting of two coils with parallel currents and four straight conductors with currents in alternating directions, is one of the most important traps. we specially study the field structure of it by using both the exact expression and a multipole polynomial expansion that facilitates studies of classical or quantum orbits. if the region near the origin is of interest, we may obtain a simple expression of the field and this configuration may be called idealized loffe trap
若只討論阱中的近原點區域時，阱中的磁場可以呈現出一種簡潔的形式，人們把它稱為理想ioffe阱。磁矩反平行於磁場的中性粒子在阱中與磁場發生相互作用，藉助相互作用勢，可以獲得粒子在阱中的經典運動方程。在一定的近似條件下，我們可以採用逐次近似的方法，使方程簡化，其中三個分量式中關于z的方程比較容易求解，而關于x 、 y的方程則演化為我們熟悉的馬丟方程的形式。 -
Finally the paper emphatically introduces the mlfma ( multilevel fast multipole algorithm ). based on hybrid field integral equation the formulation of computation for the electromagnetic scattering of three - dimensional object is derivated. then the optimization of invariant terms and the expression of every child cube is analyzed during the electromagnetic scattering calculation when using the mlfma
文章最後引入多層快速多極子法，從混合場的積分方程出發，推導出多層快速多極子法計算三維物體電磁散射的公式，分析了多層快速多極子法計算三維物體電磁散射過程中不變項計算的優化和編程時每個小立方體的表示方法。
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