Many applications of ultrashort laser pulses require manipulation and control of the pulse parameters by propagating them through different optical components before the target. This requires methods of simulating the pulse propagation taking into account all effects of dispersion, diffraction, and system aberrations. In this paper, we propose a method of propagating ultrashort pulses through a real optical system by using the Gaussian pulsed beam decomposition. An input pulse with arbitrary spatial and temporal (spectral) profiles is decomposed into a set of elementary Gaussian pulsed beams in the spatiospectral domain. The final scalar electric field of the ultrashort pulse after propagation is then obtained by performing the phase correct superposition of the electric fields all-Gaussian pulsed beams, which are propagated independently through the optical system. We demonstrate the application of the method by propagating an ultrashort pulse through a focusing aspherical lens with large chromatic aberration and a Bessel-X pulse generating axicon lens.

中文翻译：

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高斯脉冲光束分解，用于通过光学系统传播超短脉冲。

超短激光脉冲的许多应用都需要通过在目标之前通过不同的光学组件传播脉冲参数来操纵和控制脉冲参数。这需要考虑到色散，衍射和系统像差的所有影响来模拟脉冲传播的方法。在本文中，我们提出了一种利用高斯脉冲光束分解在实际光学系统中传播超短脉冲的方法。具有任意空间和时间（光谱）轮廓的输入脉冲在空间光谱域中分解为一组基本的高斯脉冲束。然后，通过对电场进行全高斯脉冲束的相位校正叠加，可以得到传播后的超短脉冲的最终标量电场，它们通过光学系统独立传播。我们通过具有超大色差的聚焦非球面透镜和Bessel-X脉冲产生轴锥透镜传播超短脉冲来演示该方法的应用。