This study presents a unified theoretical and experimental framework for ensuring stable, high-repetition–rate operation in passively Qswitched hybrid thulium/erbium fiber lasers. A key challenge in such systems-the limited lifetime of the Tm3+ 3H4 energy level (300 − 500 µs)–has traditionally restricted pulse frequency and stability. By applying nonlinear dynamical systems theory, we provide a rigorous Floquet-based analysis that certifies the stability of periodic pulse solutions under perturbations. The theoretical model is complemented by experimental results demonstrating that spectral complementarity between Tm and Er ions eliminates gain competition, thereby enhancing pulse consistency. This combined approach offers new design principles for rare-earth-doped fiber systems, with direct implications for high-performance applications in biomedical laser processing and free-space optical communication.
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