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propagation equation     
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  传输方程
     Er~(3+)/Yb~(3+)Co-doped double-clad fiber amplifier pumped at 980 nm is analyzed for gain and noise characteristics based on the rate equation and light propagation equation.
     基于速率方程和光传输方程,对980nm激光泵浦Er3+/Yb3+共掺双包层光纤放大器的增益和噪声特性进行了分析。
短句来源
     The permittivity ε of Pockels medium is ε=n 2+α|E|,therefore the problems are reduced to solve the nonlinear propagation equation of the core.
     Pockels介质的介电系数为ε=n2 +α|E|,故问题归结为求解芯区的传输方程 .
短句来源
     Propagation Equation of Nonlinear Optical Soliton
     非线性光孤子传输方程
短句来源
     Propagation equation of nonlinear optical soliton
     非线性光孤子传输方程的研究
短句来源
     (2) A novel numerical algorithm SSFD (split-step finite difference) has been presented for solving nonlinear pulse propagation equation.
     (2)提出了一种新型的分步有限差分(SSFD)算法来求解非线性锁模脉冲传输方程
短句来源
更多       
  传输公式
     Based on the Collins formula and Sylvester theorem,the propagation equation of Gaussian beams passing through a multi-Gaussian apertured paraxial optical ABCD system is derived.
     基于Collins公式和Sylvester定理 ,推导出高斯光束通过多高斯光阑傍轴ABCD光学系统的解析传输公式
短句来源
     1. By means of the Fourier series expansion, an approximate analytical propagation equation of flattened Gaussian beams(FGBs) passing through an apertured paraxial ABCD optical system is derived, and illustrated with numerical examples, when the transmissivity of the aperture is T(x) = cos( x).
     1.用傅立叶级数展开法研究了平顶高斯光束通过有光阑限制的近轴ABCD光学系统的传输特性,导出了光阑透射率为T(x)=cos(Ωx)时的近似解析传输公式,硬边光阑的情况可作为Ω=0的特例得到。
短句来源
     Starting from the polarization matrix and propagation equation of the cross-spectral density matrix,a detailed study of the influence of hard-edge aperture on the spectral switch of polychromatic vector Gaussian-Schell model beams is performed.
     从偏振矩阵和交叉谱密度传输公式出发,分析了硬边光阑对多色矢量高斯-谢尔模型光束轴上光谱开关的影响。
短句来源
     Based on the expansion of the window function of a hard edge aperture into a finite sum of complex Gaussian functions,the recurrence propagation equation of cosh Gaussian(ChG) beams through a multi apertured paraxial ABCD optical system is derived,which permits us to study the propagation of ChG beams through hard edge optics analytically.
     基于将硬边光阑窗口函数展开为有限个复高斯函数之和的方法 ,推导出了双曲余弦 高斯光束 (ChG)通过多个光阑近轴ABCD光学系统的递推传输公式 ,该公式可用来解析地研究光束通过硬边光阑光学系统的传输特性。
短句来源
     By means of the Fourier series expansion,an app roximate analytical propagation equation of flattened Gaussian beams(FGBs) passi ng through an apertured paraxial ABCD optical system is derived,and illustr ated with numerical examples,when the transmissivity of the aperture is T( x )=cos( Ωx ).
     用傅里叶级数展开法研究了平顶高斯光束通过有光阑限制的近轴ABCD光学系统的传输特性 ,导出了光阑透射率为T(x) =cos(Ωx)时的近似解析传输公式 ,硬边光阑的情况可作为Ω =0的特例得到。
短句来源
更多       
  传播方程
     After introducing gain theory of EDFA and YDFA, the rate equation and propagation equation of Er/Yb co-doped phosphate glass fiber are simplified, and each factors relating to the gain of fiber amplifiers, such as fiber leghth, pumping power, signal power and wavelegth, ion concentration etc.
     设计并拉制出满足单模传输要求的双包层铒镱共掺光纤。 在简要介绍掺铒光纤放大器和掺镱光纤放器增益理论之后,从铒镱共掺光纤铒镱离子的速率方程出发,对铒镱共掺的速率方程和传播方程进行简化,分析了光纤长度,泵浦功率、信号波长及离子掺杂浓度等因素对铒镱共掺磷酸盐玻璃光纤增益的影响。
短句来源
     (1) Intense laser beam propagation equation, the paraxial wave equation, has been derived.
     (1)从电磁波的基本传播方程出发,推导了描述强激光在透明克尔介质中传输行为的非线性近轴波动方程。
短句来源
     The propagation of intense femtosecond laser pulses(50 fs,10 16 w/cm2) in Ar gas and middle-size Ar clusters is modelled by solving 3D propagation equation numerically.
     通过数值求解三维电场传播方程,理论模拟了飞秒强激光脉冲(50fs,1016w/cm2)在氩气和中等尺寸氩团簇中的传播效应.
短句来源
     By use of covariance analysis technique a propagation equation of the error variances of linear discrete random system is derived which allows to calculate directly the airplane landing precision. And the influence of filtering sensitivity on the airplane landing control is further analysed.
     用协方差分析法,推导出可直接计算飞机着陆精度的线性离散随机系统的误差方差的传播方程,并进一步分析了滤波灵敏度对飞机着陆控制的影响。
短句来源
     According to the Hamilton-Jacobi formulation of the Godunov's scheme,we study finite difference mothed for the propagation equation of non-ideal detonation in non-orthogonal body-fitted coordinate and present an algorithm.
     根据Hamilton-Jacobi方程的Godunov差分格式,本文研究了非正交的贴体坐标系中非理想爆轰波传播方程的差分格式并提出了相应的数值方法。
短句来源
更多       
  传播公式
     Considering the dependence of the evidence on hypothesis based on cylindrical extension,the present paper gives the explanation of the constraint propagation in inferno model and verifies that the satisfied conditions by constraint propagation equation are the probabistic capacity under the meaning of cylindrical extension.
     从柱面扩张的角度考虑证据与假设之间的依赖关系,给出Inferno模型中约束传播关系的解释,并证明约束传播公式所满足的条件是柱面扩张意义下的概率相容.
短句来源
     Then the decaying propagation equation of the spherical shock front is shown in good agreement with experimental data.
     衰减球面冲击波波阵面自模拟传播公式与实验测试结果完全符合
短句来源

 

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      propagation equation
    Paraxial wave propagation equation for the field envelope in the gain medium with thermal-induced refractive index profile and gain profile is derived.
          
    The paraxial propagation equation is solved through non-linear mapping of the transverse plane and subsequent Galerkin approach.
          
    The paraxial propagation equation is solved through non-linear mapping of the transverse plane and subsequent Galerkin approach.
          
    At the interface between two different media, the two lateral second derivatives in the discretized propagation equation are adapted such that the discretized modal field equation is correct up to second order in the lateral grid spacing.
          
    Efficient interface conditions (EICs) are derived for the propagation equation using the slowly varying envelope approximation for the dominant electric field component.
          
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    Chisnell- no's method is applied to studying the propagation of a perpendicular hydromagnetic shock wave in the inhomogeneous magnetic field. A new shock parameter, the characteristic velocity of shock wave representing' the geometric mean of the shock velocities in both sides of the front, has been introduced. The propagation equation thus obtained is greatly simplified. The equation is integrated by numerical method in the case of "strong magnetic medium", where the Alfvén velocity is much greater...

    Chisnell- no's method is applied to studying the propagation of a perpendicular hydromagnetic shock wave in the inhomogeneous magnetic field. A new shock parameter, the characteristic velocity of shock wave representing' the geometric mean of the shock velocities in both sides of the front, has been introduced. The propagation equation thus obtained is greatly simplified. The equation is integrated by numerical method in the case of "strong magnetic medium", where the Alfvén velocity is much greater than the sound velocity. Three types of particle density distribution are considered: (1) the Alfvén velocity is constant, (2) the density is uniform and (3) the ratio of the density to the field intensity remains constant. It is shown that when a shock wave propagates from a weak field into a strong one, its strength measured by the jump ratio of field intensity always decreases. For medium with a constant Alfvén velocity the shock wave decays most slowly; for a medium of uniform density the shock wave attenuates most quickly; while for the constant density-field ratio medium the attenuation rate appears to be intermediate. In the weak shock limit, the amplitude of wave is inversely proportional to the square root of the Alfvén velocity. These results are discussed in relation to the magnetic shock propagating in the earth's magnetosphere on the assumption that the whole space is filled with wholly ionized hydrogen plasma whose density is proportional to the field intensity, as confirmed by whistler observation from 2 to 5 earth's radii distance. In this case, it is shown that a shock wave of initial velocity 10~8cm/sec at 10 earth's radii distance will excite a 60γ field change in the earth's surface, comparable to the order of magnetitude of the sudden commencement of a strong storm in the lower latitudes.

    本文应用Chisnell- no方法,求解了在理想介貭中,垂直磁流体冲激波在非均勻磁場中的传播問題。这种方法,把非均勻介貭分解成无限小的弱間断面,根据气体动力学中波与間断面相互作用的原理,算出激波通过弱間断面时的强度变化,然后用积分求得激波通过整个非均勻区时的强度变化。作者引入了激波的特征速度(它是激波在波前后介貭中传播速度的几何平均值)作为輔助参量,得到形式上比較簡单的激波传播方程。然后考虑了磁压力远大于气体压力的强磁介貭中的激波传播問題,并进行了数值积分。采用的介貭密度模型有三种:(1)阿尔芬波速为常数;(2)密度不变;(3)密度与磁場强度成正比。計算結果表明:当激波由弱磁場向强磁場传播时,激波的强度逐漸变弱。其中,在阿尔芬波速为常数的介貭中,激波强度的衰减最为緩慢;在密度不变的介貭中,激波强度的衰減最为迅速;而在密度与磁場成正比的介貭中,激波强度的衰減則介乎上述两种密度分布之間。作者联系磁流体冲激波在地球外层空間的传播問題进行了討論,密度的模型采取大气啃昔的观測結果(卽上述第三种密度分布),并进行了适当的外推,估計了在十个地球半径处的磁流体冲激波传到地面时的强度,求出了激波在地面引起的磁場变化与激波初始...

    本文应用Chisnell- no方法,求解了在理想介貭中,垂直磁流体冲激波在非均勻磁場中的传播問題。这种方法,把非均勻介貭分解成无限小的弱間断面,根据气体动力学中波与間断面相互作用的原理,算出激波通过弱間断面时的强度变化,然后用积分求得激波通过整个非均勻区时的强度变化。作者引入了激波的特征速度(它是激波在波前后介貭中传播速度的几何平均值)作为輔助参量,得到形式上比較簡单的激波传播方程。然后考虑了磁压力远大于气体压力的强磁介貭中的激波传播問題,并进行了数值积分。采用的介貭密度模型有三种:(1)阿尔芬波速为常数;(2)密度不变;(3)密度与磁場强度成正比。計算結果表明:当激波由弱磁場向强磁場传播时,激波的强度逐漸变弱。其中,在阿尔芬波速为常数的介貭中,激波强度的衰减最为緩慢;在密度不变的介貭中,激波强度的衰減最为迅速;而在密度与磁場成正比的介貭中,激波强度的衰減則介乎上述两种密度分布之間。作者联系磁流体冲激波在地球外层空間的传播問題进行了討論,密度的模型采取大气啃昔的观測結果(卽上述第三种密度分布),并进行了适当的外推,估計了在十个地球半径处的磁流体冲激波传到地面时的强度,求出了激波在地面引起的磁場变化与激波初始速度之間的关系。根据上述簡化模型,計算結果表明,在十个地球半径处初始速度为10~8厘米/秒的激波,传到地面引起的磁場变化大約为60伽(亻馬),这个数值的量級恰好与中低緯度强磁暴的急始变幅相符。

    This paper deals mainly with the problems (Ⅰ), (Ⅱ) of the interpolation of quadric sample-strip functions. A new method for solving cardinal functions is given and the propagation equations of end-point conditional errors are also derived.

    本文对二次样条函数的插值问题(Ⅰ)(Ⅱ)给出了一种新的基函数插值法,并导出了端点误差的传播方程。

    Starting from magneto-hydrodynamic linear equations, we have got the coupling propagation eqs. for electromagnetic and electron acoustic waves in inhomogeneous magneto-plasma, then with the selected electron density profiles and boundary conditions, we have obtained numerical solutions of |P1| and |HX|. We have also deduced a set of simplified and easily applicable approximate coupling propagation eqs., and proved the applicability of this simplified set of eqs..Finally, we have computed Debye...

    Starting from magneto-hydrodynamic linear equations, we have got the coupling propagation eqs. for electromagnetic and electron acoustic waves in inhomogeneous magneto-plasma, then with the selected electron density profiles and boundary conditions, we have obtained numerical solutions of |P1| and |HX|. We have also deduced a set of simplified and easily applicable approximate coupling propagation eqs., and proved the applicability of this simplified set of eqs..Finally, we have computed Debye length and plasma wave length. We have shown that it is the Landau dampling which causes the incapability of radiation of plasma wave out of plasma sheath, rather than the multi-reflections of waves at the strong dis-continuty.At the same time, we have discussed the generality of the coupling propagation equations.

    我们从磁流体力学基本方程出发,给出了计及外加常数磁场情况下规则非均匀等离子体中电磁波和电声波的耦合传播方程。在选用的电子密度剖面下,求解了该方程组的边界值问题,得到了|P_1|和|H_x|的数值解,进而证明了在此基础上我们得到的电磁波和电声波传播的简单近似耦合方程组是可用的。 最后,我们计算了Debye长度和等离子体波长,指出在等离子体鞘套中等离子体波不能辐射出去的主要原因是在鞘套外边界严重的Landau阻尼造成的,并非在激波线强间断处的多次反射结果。 同时,也对所得到的传播耦合方程的普遍性进行了讨论。

     
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