A formula of the scattering amplitude acompanied by the emission or absorption of N photons is found by using the stationary phase approximation and frozen target model. 在稳定位相近似及冻结靶近似下得出了这一散射过程辐射或吸收N个光子的散射振幅。
The phase-shift formulae for preserved-amplitude wave field continuation can be obtained by stationary phase approximation for integral operation of DSR preserved-amplitude wave field continuation formulae in a condition of high-frequence hypothesis. 在高频假设条件下,把DSR保幅波场延拓公式中的积分运算进行稳相近似,得到保幅波场延拓的相移公式。
To ensure accuracy of the result, the asymptotic expand is introduced for inner solution and carried out the stationary phase approximation. 为确保结果的可靠性,需对内部解作渐近展开,并采用稳定相近似等。
For the case of fast-sweeping fields, we derive an analytic expression for the tunneling probability with stationary phase approximation and show that the nonlinearity can dramatically influence the tunneling probability when the nonlinear " internal field " resonates with the external field. 对非常快的扫描外场,我们用稳相近似给出遂穿率的解析表达式,并指出当非线性的内部场与扫描外场发生共振时,非线性将强烈地影响遂穿率。
By using the complex analytic signal representation and the method of stationary phase, the propagation equation of ultrashort pulses in the far-field has been derived beyond the paraxial approximation, which allows for large angles in the far-field. 使用复解析信号法和稳相法推导出了等衍射长度超短脉冲高斯光束在自由空间远场非近轴传输方程,可用来处理自由空间远场大角度的传输。