<p>The ion extraction process is one of the most important procedures in laser-induced isotope separation. In our previous study, based on the analysis of sheath evolution and ion rarefaction wave propagation, a theoretical model has been developed for describing the one-dimensional ion extraction process. In this paper, two case studies are conducted by employing this analytical model. Firstly, barium plasma is selected, since previous experimental studies are focused mainly on barium plasmas. A comparison between the analytical and experimental results is made to validate this theoretical model. For a more practical scenario, uranium plasmas are considered, and a systematic analysis of the impact of initial plasma parameters on the ion extraction characteristics is made. The results provide a brief and clear physical description of the one-dimensional ion extraction process, and also provide a guidance for improving the ion extraction efficiency in actual applications.</p>