Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials

by Gelens, L., Gomila, D., Van der Sande, G., Danckaert, J., Colet, P. and Matías, M. A.
Abstract:
In this work we characterize the dynamical instabilities of localized structures exhibited by a recently introduced [Gelens et al., Phys. Rev. A 75, 063812 (2007)] generalization of the Lugiato-Lefever model that includes a weakly nonlocal response of an intracavity metamaterial. A rich scenario, in which the localized structures exhibit different types of oscillatory instabilities, tristability, and excitability, including a regime of conditional excitability in which the system is bistable, is presented and discussed. Finally, it is shown that the scenario is organized by a pair of Takens-Bogdanov codimension-2 points.
Reference:
Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials (Gelens, L., Gomila, D., Van der Sande, G., Danckaert, J., Colet, P. and Matías, M. A.), In Physical Review A, volume 77, 2008.
Bibtex Entry:
@article{gelens_dynamical_2008,
	title = {Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials},
	volume = {77},
	url = {http://link.aps.org/doi/10.1103/PhysRevA.77.033841},
	doi = {10.1103/PhysRevA.77.033841},
	abstract = {In this work we characterize the dynamical instabilities of localized structures exhibited by a recently introduced [Gelens et al., Phys. Rev. A 75, 063812 (2007)] generalization of the Lugiato-Lefever model that includes a weakly nonlocal response of an intracavity metamaterial. A rich scenario, in which the localized structures exhibit different types of oscillatory instabilities, tristability, and excitability, including a regime of conditional excitability in which the system is bistable, is presented and discussed. Finally, it is shown that the scenario is organized by a pair of Takens-Bogdanov codimension-2 points.},
	number = {3},
	urldate = {2016-11-07},
	journal = {Physical Review A},
	author = {Gelens, L. and Gomila, D. and Van der Sande, G. and Danckaert, J. and Colet, P. and Matías, M. A.},
	month = mar,
	year = {2008},
	pages = {033841},
	file = {APS Snapshot:/home/jan/.zotero/zotero/djuw86a6.default/zotero/storage/6S8EJ8CC/PhysRevA.77.html:text/html}
}