dispersion relation 中文意思是什麼

dispersion relation 解釋
分散關系；色散關系
  • dispersion : n 1 分散，散開；散布，傳播；離散。2 【物理學】彌散，色散；【化學】分散作用；被分散物；分散相，分...
  • relation : n 1 說話，敘述，報告；故事。2 關系，聯系；〈pl 〉（利害）關系，交情；〈pl 〉國際關系。3 親戚關系...
  1. Once the wavelength approaches the intermolecular distance, the specific dispersion relation becomes important

    一旦波長接近分子間的距離時，各自特定的色散關系就變得重要了。
  2. In this paper, high - order accurate weighted essentially non - oscillatory ( weno ) schemes are investigated and their applications in hyperbolic conservation laws are discussed. based on this, a new weno difference scheme which based on dispersion - relation - preserving relation is developed, and representative test cases with this scheme for computational aeroacoustics ( caa ) problems has been implemented and compared in order to test capability of wave capturing ; in addition, weno schemes generally do not converge at high order in the presence of contact discontinuity of euler equations, so a conservative front tracking technique coupling weno schemes and level set method to simulate the translating density profile is presented here, and numerical simulation with this technique for representative test case has been implemented and results show the desired accuracy

    本文研究了高階精度加權基本無振蕩（ weno ）格式及其在雙曲守恆律方程中的應用，在此基礎上作了兩個方面的工作：一是針對高頻聲波問題構造出一種基於保色散關系（ drp ）的weno有限差分格式，並對計算氣動聲學（ caa ）問題的代表性算例進行了大量數值實驗，比較了該格式捕捉波數的能力；另外，針對高階weno格式在處理euler方程的接觸間斷時精度有所降低的問題，研究了利用界面追蹤技術levelset方法和高階激波捕捉weno格式相結合的一種守恆追蹤方法，並且給出有代表性的密度滑移面問題的算例，得到一致高階精度的數值模擬結果。
  3. Between chromospheric activity index and corona activity index of ms stars, there exist good linear relativity. but for evolution stars, this relation show a large dispersion

    我們發現主序星的色球與冕球磁活動指數存在著很好的線性相關性，而演化恆星的則表現出較弱的相關性。
  4. Abstract : the hot wire anemometer and the ensemble average method are used to measure and study the dispersion turbulent transient feature in a closed cylindrical explosion bomb. the comparison of the dispersion turbulent parameters from different shapes of closed explosion bombs is presented. the relation between errors and numbers in dispersion turbulent measurement with the ensemble average metod is discussed

    文摘:採用熱線風速儀和系綜平均法測定和研究了封閉圓柱形粉塵爆炸罐內揚塵湍流的瞬態特性，並與球形爆炸容器內已測定的揚塵湍流瞬態特性進行了比較，對系綜平均法用於揚塵湍流的測量誤差與測量次數的關系進行了探討。
  5. The dispersion relation within the long - wave limit is linear, which is the same as that for the bose gas of superfluid phase in the absence of the optical lattice

    在長波極限下，色散關系是線性的，這與無外場時的色散關系相同。
  6. Moreover, it is confirmed that more desired results could be obtained by utilizing the li ' s new dispersion relation ( 2003 ) instead of the linear form

    另外還證實了在緩坡方程中引入非線性色散關系可以明顯改善緩坡方程模型的計算結果。
  7. 2. on the degeneracy properties in the dispersion relation of photonic crystal it is an intractable problem to explain the dispersion relation and degeneracy properties in it for photonic crystals

    光子晶體色散關系中簡並結構的理論研究對于光子晶體的頻帶結構和頻帶結構中的簡並一直是一個備受關注的問題。
  8. 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。
  9. Using the two - stream fluid model, the linear dispersion relation is derived assuming a two - dimensional spatial geometry. two cases are considered, one is that the 2d spatial geometry is defined by the plane containing the two counterstreaming electron populations and the perturbation wave vector ( referred as the xy plane ), and the other is that the geometry is defined by the plane being vertical to the two counterstreaming electron populations ( referred as the yz plane )

    對高能束流和電子迴流構成的雙流系統，建立冷等離子體流體模型，採用簡正模分析方法，分別考慮擾動波矢在平行於電流傳播方向的平面（記為xy平面）上和在垂直於電流傳播方向的平面（記為yz平面）上這兩種情況，推導了不穩定性的色散關系。
  10. On computational methods in photonic crystal finite difference time domain method ( fdtd ) and plane wave expansion method ( pwe ) are widely used in calculation the dispersion relation of the photonic crystals

    光子晶體計算方法的研究用於計算光子晶體的計算方法中，有限時域差分方法（ fdtd ）和平面波展開方法被廣泛使用，我對這兩種方法都有所研究，也有所突破創新。
  11. 3 ) coupled higher - order nonlinear schr ( ? ) dinger equations ( chnlse ), governing the evolution of two orthogonal polarization components of ultrashort optical pulse in birefringent fiber, are derived from the dispersion relation

    3 ）從色散關系出發，推導了描述超短光脈沖不同偏振分量在雙折射光纖中傳輸特性的耦合高階非線性薛定諤方程（ chnlse ）與用多重尺度法得到的相同。
  12. The integrands in the dispersion equation are not integrable in general, so we used the asymptotic expansion solution to analyze the behavior of the dispersion relation at the singularity and mapped the dispersion relation curves approximately the system composed of collisionless particles which obey maxwellian distribution or all kinds of degenerate distribution, even in their mixture system, their dispersion relation are analogous

    一般來說，色散方程中的被積函數都是難以求積的，本文是用函數逼近法分析色散方程在奇點處的行為，並大致劃出色散關系曲線。由無碰撞粒子組成的系統，不管初始分佈是maxwell分佈還是各種簡並分佈，甚至是這些分佈的混合體，色散關系都是相似的。
  13. The main jobs and achievement is the following : 1. use the approximated - field theory to solve the dispersion relation of corrugated cylinder waveguide

    主要的工作和成績如下： 1 、用近似場求解的方法求解了波紋波導非軸對稱模式色散曲線。
  14. In order to have a good design, it is necessary to analyze the dispersion relation of the tm01 mode and determine its operating parameters varying with geometrical structure of the bwo

    為了便於器件設計，我們重點分析了tm01模式的色散曲線隨器件幾何尺寸的變化情況，具有較好的參考價值。
  15. The numerical results of the dispersion relation show some nonlinear effects : for a fixed geometry of a waveguid, beam parameters and plasma density, the increment of the modulation parameter may lead to a slight increment of the operating frequency, however, as the modulation parameter increases further, saturation may occur and the dispersion relations are hard to be separated, it is due to the overmodulation of the microwave power, this phenomenon itself belongs to the nonlinear effects

    對於一定的波導、電子注參量和等離子體密度值，等離子體調制系數的增加，使工作頻率略微升高。但是，隨著等離子體調制系數的進一步增加，色散曲線變得彼此之間不可分辨，可以認為是等離子體的過調制導致了柵的飽和。這一現象是非線性的，可見，等離子體柵和調制場中文摘要是非線性關系，等離子體柵是非線性j 。
  16. A new terahertz source of folded waveguide traveling - wave - tube which based on vacuum electronics is introduced, which may answer the question for scarcity of small, economical terahertz source with continuous wave of high average power. secondly, transmission characteristics of terahertz wave in the periodic slow wave circuit of folded waveguide traveling - wave - tube have been researched combined with development of micro - fabrication technology. dispersion relation and interaction impedance of the slow wave circuit are deduced by the way of equivalent circuit, and results accounted by theory are close to those simulated by software

    其次，結合計算機模擬技術對這種新型太赫茲輻射源的折疊波導慢波線路傳輸特性進行研究:用等效電路法從理論上推導了慢波電路場、色散關系及線路耦合阻抗，電磁模擬軟體計算得出的慢波電路色散曲線與理論計算所得結果基本上一致，表明這種尺寸的慢波電路在太赫茲頻段有著色散曲線較平坦以及寬帶、低損耗的良好傳輸特性。
  17. We consider the solid electron beam. the hot dispersion relation including the electron beam space charge effect is obtained in this paper, by series of propagating with using of the boundary condition and combining with the field matching method

    考慮實心電子注，分區求出各區慢電磁波的場方程，然後利用邊界條件，用嚴格的場匹配方法，經過一系列的推導得到了考慮空間電荷效應的「熱」色散方程。
  18. 3. in order to show the fact that the - licrowave modulates the background plasma density and the density grating influences the propagation of the microwave in return, the dispersion relation of the dielectric cerenkov maser filled with plasma grating is derived when the modulation parameter is varied

    三、為了反映等離子體被微波場調制從而形成密度周期性分佈的等離子體柵，反過來影響電磁波的傳播這一物理事實，在調制系數變化的情況下，從等離子體柵的等效模型出發，推導了等離子體柵填充的介質cerenkov脈塞的色散方程。
  19. The dispersive characteristic of sws is a very important parameter of the rbwo and rtwt, other parameters such as the phase velocity, group velocity, coupling impedance can be derived from the linear dispersion relation. recently, the photonic crystal have attracted many attentions of the scientists, which has become a hot point of the research, it is also a ps

    周期慢波結構色散特性是研究高功率微波器件的一個重要參量，其他重要特性如相速、群速、耦合阻抗等參量都可以從色散關系衍生出來，準確，快速獲得周期電磁結構的色散特性就顯得尤為重要。
  20. The influence of optical source chirp on femtosecond soliton interaction is studied numerically, and the unequal amplitude method can reduce the interaction. in addition high - order coupled equations governing the evolution of two orthogonal polarization components of the same wave are derived by using multi - dimension derivation expansion method of singular perturbation theory and the dispersion relation. furthermore, a class of optical solitary wave solutions, such as the bright - bright, dark - dark, bright - dark, and combined solitary waves are found under certain parametric conditions

    數值研究了源啁啾飛秒孤子間相互作用，提出了抑制該作用的可能方案；用奇異攝動多重尺度導數展開法和色散關系推導了耦合高階非線性薛定諤方程（ chnlse ） ，並用行波變換法得到了一系列孤波解析解，分析了它們在光纖中傳輸的必要條件，也討論了它們的穩定性，為實現飛秒光脈沖在光纖中的無畸變傳輸作理論上的探索。
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