ellipsoidal coordinates meaning in English
椭球坐标系
Examples
- The ellipsoidal coordinates are introduced to solve the unknown displacement and electric potential jumps in the integral equations under uniform loading
引入椭球坐标系后，得到了均布载荷作用下未知位移间断和电势间断的解析解。 - 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、讨论了带电粒子在均匀电磁场中的相对论运动规律。三、讨论了在均匀电场中电介质椭球体的极化规律。证明了电介质椭球内的极化场强方向与外电场方向并非严格相反,只有当外电场与电介质椭球的某一主轴平行或者当椭球体三半轴的大小都相等时,极化场强方向与外电场方向才严格相反。 - 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
本文从maxwell方程及其边界条件求解出椭球腔内的电磁场分布,较为全面的研究了旋转椭球坐标系下赫姆霍兹方程的解的问题,讨论了用特殊函数来求解旋转椭球坐标系下电磁场的解,并通过数值仿真研究了旋转椭球谐振腔的本征值和品质因数,并和球形谐振腔做了比较,主要内容为: 1 .用maxwell方程及其边界条件求解出椭球腔内的电磁场分布,并且分析了椭球腔内的谐振模式。