球面坐標系 的英文怎麼說

中文拼音 [qiúmiànzuòbiāoxì]
球面坐標系 英文
spheric coordinate system
  • 球 : 名詞1 （以半圓的直徑為軸 使半圓旋轉一周而成的立體; 由中心到表面各點距離都相等的立體） sphere; glo...
  • 面 : Ⅰ名詞1 （頭的前部; 臉） face 2 （物體的表面） surface; top 3 （外露的一層或正面） outside; the ri...
  • 標 : Ⅰ名詞1 [書面語] （樹梢） treetop; the tip of a tree2 （枝節或表面） symptom; outside appearance; ...
  • 系 : 系動詞（打結; 扣） tie; fasten; do up; button up
  • 球面 : spherical surface; sphere球面艙壁 spherical bulkhead; 球面車床 spherical turning lathe; 球面反射...
  1. 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。
  2. 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 conventional sphere model of earth and circle model of orbit are discarded, and the ellipsoid model and the ellipse model are selected for further research, which achieves a method to determine the target position through the antenna pointing direction. and the spaceborne sar system design and simulation software is brought forth. this software accomplishes sar system coefficients design for antenna area, pulse repetition frequency, signal bandwidth, downlink data rate, radar transmitter power and satellite platform yaw steering

    本文從星載雷達的星地幾何關系入手，舍棄傳統星載合成孔徑雷達研究中的球地球模型和圓軌道模型，研究了在地球橢球模型和橢圓軌道模型下由雷達天線確定目標坐標的方法，並在此基礎上研製了星載合成孔徑雷達系統設計與模擬軟體，完成雷達系統天線尺寸、脈沖重復頻率、信號帶寬、雷達信號數據率、雷達發射功率、衛星平臺的偏航牽引等幾個方面的系統參數設計以及雷達多普勒特性、雷達系統模糊、雷達定位及精度的分析，最後完成雷達回波信號的模擬。
  4. 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
  5. On the condition of “ many - head ” and “ small drive ratio ” ， the plane double enveloping hourglass worm can not settle the problem of undercutting and sharpening simultaneously. it has devoted to a new type hourglass worm _ sphere double enveloping hourglass worm. the coordinate system is established according to the frock. the meshing equation and the tooth equation of worm and gear have been developed and the distribution of contact line on gear tooth is analyzed. to evaluate the meshing quality ， four meshing quality indexes and five original parameters are put forward. through mass programming computing ， the relations between meshing quality and original parameters are derived and depicted by graphs

    考慮到平面二次包絡環面蝸桿傳動在多頭小傳動比條件下根切與齒頂變尖的矛盾很難同時解決且嚙合性能較差，介紹了一種新型環面蝸桿傳動? ?球面二次包絡環面蝸桿傳動.在研究過程中，根據工裝建立了坐標系，根據一二包過程的運動關系推得了嚙合方程和蝸桿與蝸輪的齒面方程，分析了蝸輪齒面上的接觸線分佈.為了評價嚙合性能，提出了4項性能指標和5項原始參數，通過大量編程計算得到了嚙合性能指標與原始參數之間的關系，並以圖表直觀的表示
  6. Establishment of another form of geodesic coordinate system on earth ellipsoid

    地球橢球面上另一種形式的測地坐標系的建立
  7. A new method of solving the capacity problem is presented by using the formula of capacity for a parallel plate capacitor, with simpler calculation and more explicit physical meaning as compared with the conventional solution

    摘要提出了導體系統電容問題求解的一種新方法，藉助雙球面坐標系和平行板電容公式，求出了異心球形電容器電容的解析式。
  8. Eigenequation about singularity, singular stress fields and electrical displacement fields near the interface edge are obtained under axisymmetric distortion. finally, a special finite element formulation which is based on the principle of minimum potential energy has been developed for determining the orders of the singularity of the singular stress fields around the singular point ( interface edge, interface corner and the interface crack ) in the bonded dissimilar anisotropic / anisotropic, piezoelectric / piezoelectric as well as piezoelectric / anisotropic materials. the numerical results show that this method is very convenient and efficient

    最後，從最小勢能原理出發，在僅僅考慮奇異性支配區域這一前提下，對于彈性接合材料的平面變形問題和擬平面應變問題，以奇異點為原點分別建立極坐標系和圓柱坐標系，通過分部積分消除廠項，從而使奇異性問題的求解由原來的二維降為一維；對於三維變形問題，以奇異點為原點建立球坐標系，通過分部積分消除項，從而使奇異性問題的求解由原來的三維降為二維。
  9. 2. we present a solution to the scattering of gaussian beams by a concentric multilayered non - confocal spheroidal particle by taking a concentric two - layered one as an example. because the boundaries of these two layers are connected with two different spheroidal coordinate systems, firstly, the electromagnetic fields between the inner and outer boundaries are expanded in terms of the spheroidal vector wave functions with reference to these two systems, and the electromagnetic fields within the inner boundary with reference to the system for it

    2 .以雙層橢球為例，我們提出了一種研究同心非共焦多層橢球粒子散射的方法，首先把兩層橢球之間的電磁場用對應于兩個橢球坐標系的橢球矢量波函數展開，這兩個橢球坐標系分別與兩層橢球的邊界面相聯系，在每層橢球邊界面上分別應用邊界條件，建立關于各展開系數的方程組。
  10. Fifthly, by adopt new matrix coordinate system means, found a tricycle wmr ' s kinematic model, especially the investigation in the kinematically modeling of steered wheel and non - steered wheel. at the same time, the dynamic modeling of robot ' s playing football motion, consummate mobile robot ' s system. by the comparison with the two - wheeled differential drive structure on line or circular track ' s simulation experiment result, illustrate the tricycle wmr ' s superiority more and more

    第五，採用新型的矩陣坐標系方法，建立了三輪式機器人的動力學模型，尤其是在導向輪和非導向輪的動力學建模方面進行了深入的研究；同時，對機器人踢足球的運動進行動態建模，進一步完善了移動機器人體系。
  11. Orthogonal matrixes have special structures, and every row vector of them can be taken as a plot, which may be parametrized in n - sphere space. through the research of structures of orthogonal matrixes, the writer finds a parametrized matrix, which can express all the orthogonal matrixes. through analysing uprightness between related high - order planes and the number of required parameters, we get the maturity of this method

    自然的，這些點可以用其球坐標，即與各坐標軸的夾角來參數化，作者通過觀察正交矩陣的幾何結構，最終找到了任意維數的隨機正交矩陣的參數表示方法，通過分析相關超平面之間的垂直關系和參數化正交矩陣需要的參數個數，論證了這種表示的完備性。
  12. This dissertation adopts the modularization programming method to develop the spaceborne sar system design and simulation software, which obtains the windows common interface and logical integrated structure, convenient for usage, maintenance and function extension. 2. as for the earth model and orbit model, according to the properties of spaceborne sar operation, in this dissertation, we reject the sphere earth model and circle orbit model and present a novel way to solve spaceborne geometry relations between radar and target by three ellipses, and achieve the way to determine the target position by antenna pointing direction

    在地球模型和軌道模型方面，論文根據星載合成孔徑雷達工作的特點，摒棄了球地球和圓軌道的傳統模型，創新性的採用三個橢圓解決了星載雷達的星地幾何關系問題，得到了在地球橢球模型和橢圓軌道模型下由雷達天線指向確定目標坐標的方法，為星載合成孔徑雷達系統設計與模擬提供了更為精確的幾何基礎。
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