Ultrafast thermal phenomena during femtosecond laser pulse heating of solids, first of all of metals, were analytically developed using a new mathematical method based upon the two-temperature model via the Fourier approach. A straightforward but powerful mathematical formalism is proposed to evaluate the spatial and temporal profiles of electron temperature under the irradiation with a single Gaussian femtoseconds laser pulse. An illustrative example was selected: a semi-infinite Gold target under femtosecond laser pulse irradiation. The proposed model can be used to guide and design experimental activities, i.e. parameters optimization before conducting real-time experiments of ultrashort laser pulses - metals interaction.

飞秒激光脉冲加热固体（首先是金属）过程中的超快热现象，是通过基于傅里叶方法的基于双温度模型的新数学方法，使用解析方法开发的。提出了一种简单但功能强大的数学形式主义，以评估单个高斯飞秒激光脉冲辐照下电子温度的时空分布。选择一个说明性示例：飞秒激光脉冲辐照下的半无限金靶。提出的模型可用于指导和设计实验活动，即在进行超短激光脉冲-金属相互作用的实时实验之前进行参数优化。