[en] Hydrogen-like nitrogen plasma is expected as one of light sources to generate extreme ultraviolet (EUV) light. A hydrogen-like nitrogen ion emits a photon at 13.4 nm with an optically allowed transition from n=3 to n=2, where n stands for a principal quantum number. We focus on the properties of the population inversion between n=3 and n=2, and estimate the lasing potential by numerical simulation. In our previous study, higher gain-length products GL are obtained and desired plasma conditions are found. In this paper, our study up to now is surveyed and the effect of photo processes due to amplified EUV light during the propagation in plasma is considered. The present status of this study will be also briefly reported. (author)