傍軸方程 的英文怎麼說

中文拼音 [bàngzhóufāngchéng]
傍軸方程 英文
paraxial equation
  • 傍 : Ⅰ動詞1. （靠近） draw near; be close to 2. （時間臨近） be close to 3. （依靠） depend on Ⅱ名詞（姓氏） a surname
  • 軸 : 軸Ⅰ名詞1. （圓柱形的零件） axle; shaft 2. （對稱部分的直線） axis 3. （圓柱形的纏繞器物） roller; spool Ⅱ量詞（用於纏在軸上的線以及裝裱帶軸子的字畫）
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  1. In chapter 2, a schrodinger formulation for paraxial light beam propagation of the real and comprehensive refractive indexes is represented. the equation for the atom laser beam wave - function is also given by a schrodinger equation, which is similar to the equation of the time - dependent system. therefore, it is possible to investigate the propagation of an atom laser beam

    第二章：本章介紹了傍軸光束在實數折射率介質和復數折射率介質中傳輸的schrdinger形式理論，同時指出由於原子激光的傳輸滿足schrdinger方程，與含時量子系統的傳輸方程類似，故利用含時量子系統的schrdinger形式理論來研究原子激光的傳輸是可行的。
  2. This thesis was divided into eight chapters, and the main results and innovations obtained here can be summarized as follows : ( 1 ) the physics model of tsrs in frequency conversion crystals has been built up firstly. based on quantum - mechanical viewpoints and the following physical processes and parameters : the two - photo interaction of light with matter, paraxial diffraction of stokes, langevin noise sources, reflection at the faces and the edges of crystals, gain coefficient, beam aperture, pulse width and fluence of 3, the physics model of tsrs in kdp and kdp crystals acting as high - fluence frequency convector and the paraxial operator maxwell - bloch - langevin equations have been built up

    全文共分八章，取得的主要成果及創新點如下： （ 1 ）首次建立了諧波轉換晶體的tsrs物理模型本文根據量子力學原理，在考慮如下物理過程和參量的基礎上：光與物質的雙光子相互作用； stokes光的傍軸衍射； langevin （郎茲萬）噪聲源；晶體表面反射和端面反射；增益系數、光束口徑、脈寬和三倍頻光能量密度，推導出高通量激光在kdp和kd ~ * p諧波轉換晶體中的tsrs物理模型和空間上的近軸算符maxwell - bloch - langevin方程組。
  3. To deal with the case of 2 dimension spatial self - focusing, it predicts the catastrophic collapse of a self - focusing beam in a kerr medium. this un - physical collapse is due to the invalidity of the paraxial wave equation in the neighborhood of a self - focus

    在該理論應用於空間二維的自聚焦時，出現了光束將無限聚焦的結果，這在物理上是不可想像的，原因是在自聚焦點附近傍軸方程已經失效了。
  4. In section 4, by making use of the fourier transformation for spatial variables and starting from the nonparaxial propagating equation of ultrashort pulsed beam in temporal frequency domain, the nonparaxial solution basing on the paraxial propagating solution was derived, which come to exact solution by iterative of the paraxial integral solution

    在第四節里，通過採用空間變量的傅立葉變換和利用時間頻率域下的非傍軸傳輸方程，我們得出了超短脈沖光束傳輸的非傍軸的修正方法。
  5. In this paper, on the base of paraxial approximations, we present a set of absorbing boundary conditions of 3d elastic wave equations and apply to the 3d elastic wave numerical modeling in isotropic medium

    本文基於傍軸近似法提出了計算三維彈性波方程的吸收邊界條件公式，表示了各邊界面、邊棱和角點處波場所滿足的單程波方程，並在三維彈性波數值模擬中進行了應用。
  6. Chapter 4 : in this chapter, we derive the formula of ponderomotive force from lorentz equation and analyze the effect of ponderomotive self - channeling ( psc ) firstly. it is found that the effect of psc enhances the effect of beam focusing. and a nonparaxial propagation equation including the effect of psc is established

    分析激光傳輸過程中的有質動力自通道效應，結果表明，有質動力自通道效應能增強激光自聚焦，在此基礎上建立了包含有質動力自通道效應的非傍軸傳輸方程。
  7. In the case of ultrashort laser pulse, the effect of finite pulse length is anlyzed, and self - steepening in the front of the pulse will occur when only relativistic nonlinearity is considered

    同時，對于超短脈沖傳輸，分析了有限脈沖寬度效應對傍軸方程的修正，當只考慮相對論性非線性效應時將會引起激光脈沖前沿自陡峭。
  8. Chapter 3 : the source - dependent expansion ( sde ) method for analyzing the wave equation is introduced, which is an effective method for solving the paraxial wave equation with nonlinear source terms. two examples have been given to explain this method, which are the propagation of the ultrashort intense laser pulses propagation in the partially stripped plasma in which the collisions of plasma electrons are taken into account, and the propagation including the finite pulse length effect

    第三章：本章介紹了求解有非線性源項的傍軸方程的有效方法-源展開方法，並給出了兩個具體的例子，即考慮等離子體電子間碰撞的隧道傳輸的求解和考慮激光脈沖的有限脈寬效應的隧道傳輸求解。
  9. Based on the basic equation, the non - paraxial correction of pulsed beam is obtained by the spectrum analysis technic and the perturbative technic respectively. the result from the above mentioned two technics are compared to each other

    基於上述方程，分別用角譜分析法和微擾法得到了脈沖光束的非傍軸修正，並對這兩種方法所得結果進行了比較。
  10. Starting from maxwell ' s equations, the paraxial propagation equation of intense laser light in ionizing gases is derived and is analyzed by means of the source - dependent expantion ( sde ) method. an equation governing the evolution of the laser beam redius is obtained, based on which we analyze the ionization - modulation ( im ) instability. then, a vectorial, nonparaxial propagation equation is established, and the mechanism of energy loss during the propagation is analyzed

    首先從maxwell方程組出發推導出強激光在電離氣體中傳輸的傍軸傳輸方程，利用源展開方法對傍軸傳輸方程進行分析，得到光束半徑的演化方程，從而討論傳輸過程中的電離調制不穩定性；再建立矢量非傍軸模型，並討論氣體電離產生等離子體所引起的激光能量損耗機制。
  11. Chapter 3 : the influence of vectorial effect on non - paraxial propagation of pulsed beam is analysed based on the basic vectorial propagation equation of ultra - short pulsed beam in free space. on the basis of the analysis and the result of chapter 2, the vectorial non - paraxial correction of ultra - short pulsed beam is obtained

    第三章：這一章在脈沖矢量傳輸基本方程的基礎上，分析了矢量效應對脈沖光束非傍軸修正的影響，並基於此分析以及第二章所得結果，得出了脈沖光束的矢量非傍軸修正。
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