the spherical coordinate system 中文意思是什麼

the spherical coordinate system 解釋
球坐標
  • the : 〈代表用法〉…那樣的東西，…那種東西。1 〈用單數普通名詞代表它的一類時（所謂代表的單數）〉 （a） 〈...
  • spherical : adj 球的；球面的；球形的，圓的；天體的；天空的。 a spherical bush 【機械工程】球面襯。 a spherica...
  • coordinate : adj 1 同等的，同位的；協調的，配合的；【語法】對等的。2 【數學】坐標的。3 （圖書、資料編目）交叉...
  • system : n 1 體系，系統；分類法；組織；設備，裝置。2 方式；方法；作業方法。3 制度；主義。4 次序，規律。5 ...
  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. Abstract : it is observed that the sommerfeld ' s formula for a progressive spherical wave is not covariant with respectro the rotation of the coordinate system. it contains complex partial waves that are not physical. the standing wave representation of the same formula is shown to be covariant and physical. it is applied to solve the boundary value problem of fiber optics. the radiation modes as well as the guided normal modes are obtained in closed forms. the intensity distribution in various modes is obtained. it is remarked that the mode of critical refraction is missing

    文摘:說明了球面行波的索末菲公式在坐標轉動下不協變.證明了球面波的駐波表示是協變的，因而是一個物理的關系式，故適用於圓柱坐標中各類波動方程的定解問題.作為一個例，應用於光纖光學，導出了受導簡正模和輻射模的表達式，以及各模式的強度分佈
  3. The series solution of the eccentric spherical capacitor ’ s capacitance has been obtained based on the bispherical coordinate system and strict derivetion, and through making programe to compute to get the numerical relation between the capacitance and the eccentrity, pionted out that the capacitance not let up but enlarged with the gain of eccentriccity

    四、採用雙球坐標系嚴格求解了偏心球形電容器的電容。得到了它的級數解，求得了偏心球形電容器電容大小隨偏心度變化的規律，發現偏心球形電容器電容的大小並不是隨偏心率的增加而減小，而是隨偏心率的增加而增加的。
  4. An error compensation modal of non - orthogonal coordinate measuring system is built in this paper, in which completely new thought is taken out : using the natural coordinate system combined with the spherical coordinate system to analyze the errors of non - orthogonal coordinates measuring system, in the result, it makes things simpler and not only find out the number of errors and the factors resulted in the errors, but also build the error compensation formula completely, which perfects the study of non - orthogonal coordinate measuring system " s errors

    本文建立了非正交坐標系機械繫統的誤差補償模型，提出了一種新的建模思想：在使用球坐標系的同時，巧妙結合自然坐標系。從而大大簡化了問題的難度，不僅正確地分析出非正交坐標系機械繫統的誤差項數、各誤差項的來源，還成功地建立了誤差補償公式，完善了對于非正交坐標系機械繫統誤差的研究。
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