caa a22 4500 445369817 CHVBK 20180317142942.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00340-011-4641-x doi (NATIONALLICENCE)springer-10.1007/s00340-011-4641-x Multi-soliton complexes in mode-locked fiber lasers [Elektronische Daten] [A. Zaviyalov, R. Iliew, O. Egorov, F. Lederer] We numerically investigate the formation of soliton pairs (bound states) in mode-locked fiber ring lasers in the normal dispersion domain. In the distributed mathematical model (complex cubic-quintic Ginzburg-Landau equation), we observe a discrete family of soliton pairs with equidistantly increasing peak separation. We show that stabilization of previously unstable bound states can be achieved when the finite relaxation time of the saturable absorber is taken into account. The domain of stability can be controlled by varying this relaxation time. Furthermore, we investigate the parameter domain where the region of stable bound states does not shrink to zero for vanishing absorber recovery time corresponding to a laser with an instantaneous saturable absorber. For a certain domain of the small-signal gain, we obtain a robust first level bound state with almost constant separation where the phase of the two pulses evolves independently. Moreover, their phase difference can evolve either periodically or chaotically depending on the small signal gain. Interestingly, higher level bound states exhibit a fundamentally different dynamics. They represent oscillating solutions with a phase difference alternating between zero and π. Springer-Verlag, 2011 Zaviyalov A. Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut Iliew R. Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut Egorov O. Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut Lederer F. Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut Applied Physics B Springer-Verlag 104/3(2011-09-01), 513-521 0946-2171 104:3<513 2011 104 340 https://doi.org/10.1007/s00340-011-4641-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00340-011-4641-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zaviyalov A. Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut NATIONALLICENCE 700 1- Iliew R. Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut NATIONALLICENCE 700 1- Egorov O. Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut NATIONALLICENCE 700 1- Lederer F. Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany aut NATIONALLICENCE 773 0- Applied Physics B Springer-Verlag 104/3(2011-09-01), 513-521 0946-2171 104:3<513 2011 104 340 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer