By using the angular spectrum and complex analytic signal representations, the analytic propagation expression and its Fourier spectrum for ultrashort Gaussian pulsed beams with constant waist width in the far field are derived.
利用角谱法和复解析信号法推导出了等束宽超短高斯脉冲光束在远场的解析传输公式及其傅里叶谱。
In the present paper, the authors establish the representations of the general discontinuous boundary value problem for analytic functions in the upper half plane and upper half disk. Moreover the authors give their applications to some nonlinear elliptic complex equations.