Using a multiple regression model for predicting the soft X-ray laser gain coefficient from laser plasmas

The laser plasmas produced from the interaction of the high-power laser with the target surface are suitable sources for soft X-ray laser, which has many applications in industry and medicine. In order to create the maximum efficiency of the output soft X-ray laser, the parameters of the pump laser should be optimize. In a double-pulse pump laser, the intensity and width of the pre-pulse, the intensity and width of the main pulse and the delay time between the two pulses are effective parameters in the output X-ray production. In this research, by using a machine learning based on the multiple regression equation, the dependence of the gain coefficient on the pump pulse parameters are investigated and a statistical model for predicting the gain coefficient of soft x-ray laser based on the feature of the pump pulse is presented without the need to numerical solution of the complex hydrodynamic equations.