ellipsoidal coordinates 中文意思是什麼
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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
本文從maxwell方程及其邊界條件求解出橢球腔內的電磁場分佈，較為全面的研究了旋轉橢球坐標系下赫姆霍茲方程的解的問題，討論了用特殊函數來求解旋轉橢球坐標系下電磁場的解，並通過數值模擬研究了旋轉橢球諧振腔的本徵值和品質因數，並和球形諧振腔做了比較，主要內容為: 1 .用maxwell方程及其邊界條件求解出橢球腔內的電磁場分佈，並且分析了橢球腔內的諧振模式。 -
3. the solution for the distribution of potential internal the dielectric ellipsoid has been obtained by means of ellipsoidal coordinates, and has obtainted the expression of the polarization field strength in the dielectric ellipsoid, calculated the included angle value of polarization vector and the external field vector, making programe to compute to get the relation shetch between the included angle value of polarization vector and the external field vector and we have discussed the result and hold that the direction of polarization field strength with that of the external field don ’ t always strict antiparallel
二、討論了帶電粒子在均勻電磁場中的相對論運動規律。三、討論了在均勻電場中電介質橢球體的極化規律。證明了電介質橢球內的極化場強方向與外電場方向並非嚴格相反，只有當外電場與電介質橢球的某一主軸平行或者當橢球體三半軸的大小都相等時，極化場強方向與外電場方向才嚴格相反。 -
The effects of heterogeneous anisotropic random fractured rocks with different autocorrelation length and different autocorrelation function were discussed. the results show that : l ) the scattering effects become weaker when the autocorrelation length becomes larger. 2 ) the exponential ellipsoidal random fractured rock has different scattering effects on waves in different coordinates direction, and 3 ). the gaussian random fractured rocks has the same
通過模擬發現: 1 ）隨著自相關長度的增加，巖石的非均勻性對波的散射作用減弱; 2 ）指數橢圓型隨機裂縫巖石對彈性波在兩個坐標方向上造成的散射不同; 3 ） gaussian型隨機裂縫巖石對彈性波在兩個坐標方向上有相同散射作用。 -
The ellipsoidal coordinates are introduced to solve the unknown displacement and electric potential jumps in the integral equations under uniform loading
引入橢球坐標系后，得到了均布載荷作用下未知位移間斷和電勢間斷的解析解。
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