Gaussian beam method is essentially a seismic forward modeling method that combines wave equation and ray theory.
高斯射线束方法是将波动方程和射线理论相结合的一种地震正演模型方法。
Gaussian beam is the asymptotic solution of wave equation concentred at the central ray.
高斯束是波动方程在特定射线附近的高频渐近解。
Having adopted the quadratic approximation of potential, we can solve the equation and get the approximately analytical solutions of Gaussian typed breath mode.
对势函数采用二阶近似后，求解此方程得到高斯型呼吸模式的光束宽度的近似解析式。
The elegant Laguerre-Gaussian (L-G) beams and their propagation properties are studied in detail using the propagation equation derived from the generalized Huygens-Fresnel diffraction integral.
用由广义惠更斯菲涅耳衍射积分推导出的传输方程详细研究了复宗量拉盖尔·高斯光束及其传输特性。
Furthermore, the conditions have been given that Gaussian beam is a paraxial approximation solution of the wave equation.
进一步指出了高斯光束作为波动方程傍轴近似解的条件。
The variation equation describing distance dependence of the beam waist of a fundamental Gaussian beam with high intensity propagating in logarithmically saturable nonlinear media has been deduced.
导出了在对数饱和非线性介质中传播的强激光基模高斯光束宽度随传播距离变化的方程。
The motion of plunger of oleo damper excited by colored Gaussian noise with exponential correlation time is governed by first order nonlinear differential equation.
油液阻尼器受指数型高斯色噪声外激励时，活塞在油腔内的运动可用一阶非线性动力学方程描述。
With GFPE, the Fokker Planck equation (FPE) for a two mode laser driven by correlated Gaussian white noises is then derived.
应用以上得到的一般福克-普朗克方程，推得了双模激光系统的福克-普朗克方程。
The exact stationary solution of a class of nonlinear dynamic problems subjected to Gaussian white noise has been obtained by solving its corresponding Fokker Planck Kolmogorov equation.
一类受高斯白噪声激励的非线性动力学方程能通过求解对应的F Pk方程得到精确稳态解。
With the simplified equation, the expression of received beam has been achieved for Gaussian beam.
利用简化的传输方程，得到了高斯光束入射时的接收光束分布的表达式。
From the nonlinear Schrdinger equation of beam propagating in Kerr absorbing medium, a set of evolution equations describing Gaussian beam waist radius have bean deduced.
由光束在克尔型吸收介质中传输的非线性薛定谔方程出发，推导了高斯光束注入介质后满足的耦合方程。
The analytical solutions for ray paths in the fiber are obtained from the ray differential equation and the Gaussian parameters and the imaging formulas of the lens are also given.
从光线微分方程求得纤维中光线轨迹的解析解，并给出纤维透镜的高斯参数及物像计算公式。
With the rectangular function expanded into a finite sum of complex Gaussian functions, an approximate analytical propagation equation of HChG beams is derived.
采用将矩形函数展开为有限个复高斯函数之和的方法，推导出了光场分布的解析表达式。
The equation is formally consistent with that of a particle moving in potential well, so we can use the behavior of a particle moving in potential well to describe the breath mode of Gaussian beams.
此方程与势作用下粒子的运动方程形式一致，因此可用势作用下的粒子行为来描述高斯光束的呼吸模式。
The equation is formally consistent with that of a particle moving in potential well, so we can use the behavior of a particle moving in potential well to describe the breath mode of Gaussian beams.
此方程与势作用下粒子的运动方程形式一致，因此可用势作用下的粒子行为来描述高斯光束的呼吸模式。
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