球面波函數 的英文怎麼說

中文拼音 [qiúmiànbōhánshǔ]
球面波函數 英文
spherical function
  • 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...
  • 波 : Ⅰ名詞1 （波浪） wave 2 [物理學] （振動傳播的過程） wave 3 （意外變化） an unexpected turn of even...
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 球面 : spherical surface; sphere球面艙壁 spherical bulkhead; 球面車床 spherical turning lathe; 球面反射...
  • 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
  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. Abstract : from a universal formula for calculating the attenuation cross section of particles in arbitrary shapes, exact expressions for calcualting the attenuation cross section of polydisperse, small spheroids, whose rotary axes are in specific status, have been derived. attenuation cross sections of both liquid and ice particles in different shapes at different wavelengths in microwave band have been computed and analyzed. the results are informative to microwave remote sensing of precipitation

    文摘:從計算任意形狀粒子的衰減截面普遍公式出發，推導出了小旋轉橢球粒子群旋轉軸處于不同狀態時的衰減截面函數表達式，並計算分析各種狀態下衰減截面隨降水粒子相態、形狀和入射波波長的變化特徵，所得結果可用於降水微波遙感。
  3. 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。
  4. So a computer - aided alignment method for a series of reference lens is studied in detail in this paper. based on analyzing the optical quality affecting factors and optical design, the folio wings are described in detail in this paper : ( 1 ) how to choose merit function of optical quality in terms of the specific reference lens, and sensitive structure parameters to optical quality would be determined according to their tolerance data ; ( 2 ) discussing the relationship between the aberrations and the misalignment of reference lens ; ( 3 ) building the mathematical model for the misalignment optical system, and then calculating the misalignment value by the alignment software compiled on zemax and matlab platforms ; ( 4 ) experiments are made to examine the computer - aided alignment method. the theoretical and experimental data and plots are given in the paper

    本文在分析標準球面透鏡的設計及其光學質量的影響因素基礎上，開展了以下四個方面的研究： （ 1 ）根據系列標準球面透鏡的具體結構特點，選擇透鏡的質量評價指標，研究標準球面透鏡的公差分佈，確定敏感結構參數； （ 2 ）研究光學質量評價指標與失調量之間的函數關系； （ 3 ）建立數學物理模型，根據球面波的實測結果，求解待調系統的失調方位和量值，研究原理上實現計算機輔助裝調的可能性，在zemax和matlab平臺上編寫輔助裝調軟體； （ 4 ）建立實驗裝置，實際研究標準球面透鏡的計算機輔助裝調方法，文中給出相應的理論分析及實驗數據和曲線。
  5. This thesis in theory deals with electromagnetic wave scattering by multilayered confocal and non - confocal spheroidal particles illuminated by gaussian beams, in which the main contributions are as follows : 1. in the case of multilayered confocal spheroidal particles, the scattered fields as well as the fields within each layer are obtained in terms of infinite series with spheroidal vector wave functions by using an appropriate expansion of the incident gaussian beam. by virtue of the boundary conditions, we write the set of equations for determining the unknown expansion coefficients and then solve it

    本文從理論上研究了多層共焦和非共焦橢球粒子對高斯波束的散射，主要成果如下： 1 .我們研究了多層共焦橢球粒子對高斯波束的散射，把入射高斯光，散射場，各層橢球內的電場和磁場用適當的橢球矢量波函數展開，應用電磁場邊界條件，寫出確定各展開系數的方程組，求出散射場系數，進而求出散射場及散射截面。
  6. The use of wave packet to analyze the dynamics of quantum mechanical systems is an increasingly important method to the study of the classical - quantum correspondence. using the quantum gaussian wave packet analysis method, we calculate the autocorrelation function of the rectangular billiard, the peak positions of the autocorrelation function match well with the periods of the classical periodic orbits, which show that the period of the classical orbits can be produced by the time - dependent quantum wave packet method. we also discuss wave packet revivals and fractional revivals in the rectangular billiard, the results show that there are exact revival for all wave packet at each revival time. we find additional cases of exact revivals with short revival times for zero - momentum wave packets initially located at special symmetry point inside the billiard

    利用波包分析量子力學體系的動力學行為在研究經典和量子的對應關系方面越來越成為一個非常重要的方法.利用高斯波包分析方法，我們計算了矩形彈子球體系的自關聯函數，自關聯函數的峰和經典周期軌道的周期符合的很好，這表明經典周期軌道的周期可以通過含時的量子波包方法產生.我們還討論了矩形彈子球的波包回歸和波包的部分回歸，計算結果表明在每一個回歸時間，波包出現精確的回歸.對于動量為零的波包，初始位置在彈子球內部的特殊對稱點處，出現一些時間比較短的附加的回歸
  7. In this thesis, based on related previous references, using the non - fourier law of heat conduction, applying the image method, expand method of wave function, multiple scattering of thermal waves in materials with subsurface defects are investigated. our research works are concretely as following

    本文在分析了國內外相關文獻的基礎上，基於非傅里葉熱傳導波動方程，採用鏡像方法和波函數展開法，研究了固體介質中亞表面圓柱缺陷和球形缺陷對熱波的多重散射問題。
  8. Ellipsoidal wave function

    橢球面波函數
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