electromagnetic vector potential 中文意思是什麼

electromagnetic vector potential 解釋
電磁矢勢
  • electromagnetic : adj. 電磁的。
  • vector : n 1 【數學】向量，矢量，動徑。2 【航空】飛機航線；航向指示。3 【天文學】幅，矢徑。4 【生物學】帶...
  • potential : adj 1 可能的；【語法】可能語氣的。2 潛在的；有潛勢的；【物理學】位的，勢的。3 〈罕用語〉有力的。n...
  1. Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located

    首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。
  2. The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given

    利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式；以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系，寫出了引入二階矢量位的過程；以時諧場矢量邊值問題為例，闡明了不同坐標系下電磁場解的相互轉化原理，給出了一個解析解的轉化例子；在球坐標下，引入了較球矢量波函數更普遍的兩類矢量函數，給出了其在球面上的正交關系。
  3. Through the analyzes of electromagnetic system of a axial symmetry by the method of electromagnetic vector potential, an eddy current field math model is build by triangle cell, this article has researched the effect of power frequency to eddy current density, penetration depth and the skin effect

    本文以電磁場矢量位有限元法為基礎對二維軸對稱場的磁場強度、渦流密度進行了計算求解，採用三角形單元和六面體單元建立了渦流場數學模型，研究了電源頻率對渦流密度、透入深度及集膚效應等場量的作用影響。
  4. In this thesis, studies are made on the problem of time - harmonic electromagnetic fields excited by an arbitrary current dipole in spherical conductor. the problem is presented in eddy - current nondestructive test and geophysical prospecting. under the condition of magnetic quasi - static state, the boundary - value problem about modified magnetic vector potential is solved and the analytical solution is obtained

    本論文針對渦流無損檢測和地球物理勘探領域用到的球導體中時諧電流元的電磁問題做了研究，在磁準靜態近似下，求解了修正磁矢量位的邊值問題，獲得了問題的解析解，並利用通用有限元分析軟體做了數值驗證。
  5. In this article, introduce the important meanings of a - b effect, first is a have physics factors, second is wave function phase factor is connected with geometrical factor in ( b = 0, a 0 ), through a - b effect, we know : electromagnetic field vector e, b is local quantity, electromagnetic potential a, is global quantity, adding a, description and by the way of loop integral, electromagnetic field " effect is completely descripted

    本文介紹了有重要歷史意義的a - b效應， a - b效應揭示了兩點物理觀念的變革：一是電磁矢勢有物理效應。二是在無場強但有磁矢勢（ b = 0 ， a 0 ）的區域，波函數的相位因子與其運動空間結構有關。 a - b效應顯示； e 、 b是局域量， a 、是總體量，只有加入a 、之後的描述，並通過a的環路積分，才能對電磁場的作用做出完全準確的描述。
  6. In chapter 3, the mathematical modal of electromagnetic and temperature fields is presented by a complex magnetic vector potential, which is also applied to solve eddy current field in ansys software. then, the electromagnetic field analysis, thermal analysis and coupled - field analysis in ansys are introduced

    第三章：介紹了ansys中引入復矢量磁位計算電磁場、渦流場的方法以及溫度場求解的數學模型，簡述了ansys軟體中的電磁場、溫度場以及耦合場分析。
  7. Through the analyses of electromagnetic system of configuration of hollow metal cylinder by electromagnetic vector potential, an eddy current field math model is built by triangle cell, this article has researched power frequency to eddy current density, permeation depth and the effect of skin effect

    文中通過對一個空心金屬圓筒結構的電磁系統進行分析，以電磁場矢量位有限元法為基礎對磁場強度、渦流密度進行了計算求解，採用三角形單元建立了渦流場數學模型，研究了電源頻率對渦流密度、透入深度及集膚效應等場量的作用影響。
  8. Using maxwell electromagnetic equations, by solving the boundary - value problem of magnetic vector potential, analytical expression to impedance increment of the solenoid coil in eddy current testing of the medium in half space was given. theoretical result was modeled in computer. results showed the validity and feasibility of the model

    利用maxwell電磁方程組，通過求解矢量磁位的邊值問題得到了矢量磁位的解析解，進而導出了媒質上方放置式空心線圈的阻抗增量解析式，並對阻抗變化表達式進行單層板厚度和三層板間隙的檢測模型進行了模擬。
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