scalar wave 中文意思是什麼

scalar wave 解釋
標量波
  • scalar : n. 【數學】數量;標量,無向量;實量;純量 (opp. vector )。adj. 1. 梯階狀的,分等級的。2. 【數學】數量的;標量的;無向量的。3. 【生物學】=scalariform.
  • wave : n 〈美海軍〉女志願軍人〈見 WAVES 條〉。n 1 波浪;碎浪; 〈the wave(s)〉 〈詩〉海。2 波動;波狀...
  1. According to the theory of scalar diffraction, first, the equipollence of spatial distribution of the plane - wave interferential field and parallel projective sine grating is discussed

    摘要根據標量衍射理論,首先討論了兩平面波干涉場的空間分佈與平行投影正弦光柵的等價性。
  2. And this result is extended to the eigenfunction of maxwell ' s equations. then the mode series of step index planar dielectric waveguide and circular optical fiber are studied, including propagation modes and radiation modes. as application, there are three examples : the emergent wave from planar waveguide to free space, the transverse and longitudinal coupling of waveguide and the measurement of scalar gratings

    由於從一個空間到另外一個空間的光束傳播伴隨著界面上各個模式能量之間的耦合,作為應用,本文介紹了完備性在三個情況下的應用:平面波導出射光束的衍射性質、波導的橫向和縱向耦合以及標量光柵的測試。
  3. In this thesis, the dispersion relation ( eigen value equation ) of dispersion compensation fibers is obtained by a scalar - wave analysis

    本文首先用標量近似法推導了色散補償光纖的色散方程,這個結論適用於任何三包層光纖結構。
  4. Coupled - mode theory ( cmt ) has been developed from the orthogonal cmt to the nonorthogonal one as well as from the scalar cmt to the vector one during these scores of years. it was applied extensively in guided - wave optics as an effective mathematical tool for the analysis of the coupling between the modes. however, as far as we know, there has not been any report of the rigorous vectorial cmt in the relative publication at home and abroad

    耦合模理論在這幾十年的發展歷程中,從正交耦合到非正交耦合,從標量耦合到矢量耦合,作為很有效的數學工具分析電磁場中的模式耦合,但據我們所知,嚴格的具有普遍適用性的非正交矢量耦合模理論還未見報道,因此耦合模理論還有待于進一步完善。
  5. Scalar wave equation

    標量波動方程
  6. ( 3 ) the symplectic integrator method is applied to time evolution of the scalar wave equation

    ( 3 )將辛演算法運用到標量波動方程的時域模擬中。
  7. Based on the scalar diffraction theory and the boundary condition of rayleigh - sommerfeld, the accurate on - axis propagating wave function of plane wave diffracted by small circular band is obtained by solving the first integral of rayleigh - sommerfeld

    摘要從標量衍射理論出發,採用瑞利索末菲衍射邊界條件,通過求解第一類瑞利索末菲衍射積分得到平面波經圓環衍射后軸上的波函數,進而分析軸上的光強特性以及光強極值數量、位置和大小與衍射圓環內外孔徑的關系。
  8. The standard parabolic equation method was obtained by the decompocition of the scalar wave equation and the expansion of the pseudo - differential operator

    通過對傳統波動方程的分解和偽微分運算元的近似展開,獲得了標準拋物線方程。
  9. Because the feature size of subwavelength diffractive microlens is smaller than the incident wavelength, scalar diffractive theory cannot be used to the analysis. it also precludes rigorous vector coupled - wave theory for its finite and aperiod structure

    由於亞波長衍射微透鏡的特徵尺寸小於入射波長,因此不能採用標量衍射理論來分析,又由於它是有限非周期的結構,嚴格的耦合波方法對它也不適用。
  10. The present paper intends to construct a systematic approach to search a type of particular exact solutions to nonlinear wave equations by utilizing the theory of mathematics mechanization proposed by famous mathematician wu wentsun. by the approach, two classes of important nonlinear coupled scalar field equations arising in the field of nonlinear physics are studied systematically and a batch of exact solutions containing steady and diverging solitary wave solutions and periodic ones are obtained, which are helpful in clarifying the movement of matter under the nonlinear interactiveties and play an important role in sicentifically explaining of the corresponding physical phenomenon

    本文將我國著名數學家吳文俊的數學機械化思想應用於非線性物理領域,給出了構造非線性波方程組一類特殊精確解的一種統一演算法,利用這種演算法系統地研究了出現于非線性物理領域中的兩類重要的非線性耦合標量場方程組,獲得了這些方程組一批精確解(包括穩定和發散形式的孤立波解以及周期解) 。
  11. Scalar wave theory

    標量波動理論
  12. In this paper, the concepts, the historical background, the importance and current application of scientific computing and visualization of scientific computing are introduced and the visualization of computational detonation mechanics is specially expounded. based on the sumarization of the visualization software visc2d and visc3d directing at the mmic ( multi _ material in cell ), the key point of the improvement and the research contents are listed. based on the basic visualization reference model and the data file format of mmic, the file format of vector data is defined. the 2 - d data field visualization technology is described in detail. include the visualization of scalar field and vector field. the weak points of the visc2d software is overcome, and we propose the full - frame coloring mapping method and the visualization of the vector data using the clic ( coloring _ noise line integral convolution ). in addition, the method to draw and display shock wave by edge probing operator is introduced. in the design of the program, in order to overcome the shortcoming of visc2d with sdi ( single document interface ), the software vsv ( visualization of scalar and vector ) with mdi ( multi document interface ) is designed. compared with visc2d, the advantage of vsv includes : ( l ) vsv is a mdi applied software which can be used to view various kind of data, ( 2 ) vsv resolves the flash during displaying moving images which are produed by full - frame coloring method used to the visualization of scalar fields, and ( 3 ) vsv can be used to visualize vector field such as velocity. at last, the visualization of the output data from mmic in explosion and shock is realized by vsv

    首先簡要介紹了科學計算與科學計算可視化的概念、歷史背景、意義及應用現狀,重點說明了計算爆炸力學中的可視化問題,在總結多流體網格程序mmic的可視化軟體visc2d和visc3d的基礎上提出了改進要點和本文的研究內容。在介紹可視化基本參考模型和mmic程序的數據文件結構的基礎上,給出了矢量數據文件的結構,詳細闡述了二維數據場的可視化技術,包括標量場和矢量場的可視化,針對原visc2d軟體的不足,給出了改進方法,提出了全幀著色映射方法和用於矢量數據可視化的基於噪聲著色的線積分卷積方法,以及提出了利用邊緣檢測運算元提取和顯示沖擊波的方法。在程序設計上,針對原visc2d軟體只適用於單文檔窗口的缺點,本文利用多文檔mdi窗口,研製了標量場與矢量場的可視化軟體vsv ( visualizationofscalarandvector ) 。
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