With the temporal components and spatial components combined in one matrix so that the temporal elements include spatial variables and vice versa. The ray matrix which describes the spatial and temporal characteristics of femtosecond pulse in the Kerr medium is obtained.The simultaneous oscillations of calcium ion recombination and self-terminating laser is analysed theoretically and obtained in the experiment for the first time through improving discharge circuit and cavity structure. The maximum average output power reaches 70 mW. The photo-electro pulse waveforms is measured and discussed.