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Abstract: Soliton strings in mode-locked lasers are obtained using a variant of thenonlinear Schrodinger equation, appropriately modified to model powerintensity and energy saturation. This equation goes beyond the well-knownmaster equation often used to model these systems. It admits mode-locking andsoliton strings in both the constant dispersion and dispersion-managed systemsin the net anomalous and normal regimes; the master equation is contained asa limiting case. Analysis of soliton interactions show that soliton strings canform when pulses are a certain distance apart relative to their width.Anti-symmtetric bi-soltion states are also obtained. Initial states mode-lockto these states under evolution. In the anomalous regime individual solitonpulses are well approximated by the solutions of the unperturbed nonlinearSchrodinger equation, while in the normal regime the pulses are much wider andstrongly chirped.



Author: Mark J. Ablowitz, Theodoros P. Horikis, Sean D. Nixon

Source: https://arxiv.org/







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