This invention discloses a method for analyzing soft X-
ray gain phenomena in trapped ions and the cavity type of the X-
ray laser, mainly relating to the field of soft X-
ray gain phenomena. The method includes: S1, calculating the small-
signal gain coefficient α of the X-ray gain medium to obtain numerical information about the
gain coefficient α; S2, the above calculation in S1 requires simulating
ion source conditions, selecting different
electron densities and incident
electron energy points; S3, considering the differences between the
ion source and the
plasma environment, calculating the small-
signal gain coefficient at the
center frequency; and S4, analyzing the obtained data. The beneficial effects of this invention are: through the X-ray
resonant cavity structure, the output beam can achieve high coherence and good beam quality similar to conventional lasers. It supports high repetition rates and even
continuous wave operation, and through continuous collisional excitation and
ion reuse in ultra-high vacuum, it eliminates the dependence on driving lasers and target materials, thereby improving peak gain.