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We investigate the relationship between passive mode locking and the formation of time-localized structures in the output intensity of a laser. We show how the mode-locked pulses transform into lasing localized structures, allowing for individual addressing and arbitrary low repetition rates. Our analysis reveals that this occurs when (i) the cavity round-trip is much larger than the slowest medium time scale, namely the gain recovery time, and (ii) the mode-locked solution coexists with the zero intensity (off) solution. These conditions enable the coexistence of a large quantity of stable solutions, each of them being characterized by a different number of pulses per round-trip and with different arrangements. Then, each mode-locked pulse becomes localized, i.e., individually addressable. © 2014 American Physical Society.J. J. acknowledges financial support from Ramón y Cajal program and CNRS for supporting a visit at the INLN where part of his work was developed. J. J. and S. B. acknowledge financial support from project RANGER (TEC2012-38864- C03-01) and from Direcció General de Recerca de les Illes Balears cofunded by the European Union FEDER funds. INLN group acknowledges funding from Région PACA with the Projet Volet Général 2011 GEDEPULSEPeer Reviewe

How Lasing Localized Structures Evolve out of Passive Mode Locking