Theoretical Studies of Active, Synchronous, and Hybrid Mode-Locking

摘要: In previous work, we have shown how self-consistent solutions for both active mode-locking (AML) and by synchronous pumping (MLSP) may be derived from simple difference equations [1–2]. Using a rate-equation model the gain unidirectional ring cavity with bandwidth controlled Fabry-Perot etalon, demonstrated in case of MLSP that positive values mismatch ... (= pump period — period), steady-state profiles can generated first-order equation (the “stepping algorithm). The simplicity this solution arises fact > 0, (like filter) introduces delay, processes therefore transfer information across pulse profile front to back. For < 0 however, flows are opposed; is then governed second-order recourse numerical methods unavoidable. set presented Fig. 1 indicates as decreased, forced into region ahead threshold, until point reached where they broaden abruptly; effect has frequently been observed experimentally (e.g. [3]).