Impact of nonlocal interactions in dissipative systems: Towards minimal-sized localized structures

by Gelens, L., Van der Sande, G., Tassin, P., Tlidi, M., Kockaert, P., Gomila, D., Veretennicoff, I. and Danckaert, J.
Abstract:
In order to investigate the size limit of spatial localized structures in a nonlinear system, we explore the impact of linear nonlocality on their domains of existence and stability. Our system of choice is an optical microresonator containing an additional metamaterial layer in the cavity, allowing the nonlocal response of the material to become the dominating spatial process. In that case, our bifurcation analysis shows that this nonlocality imposes another limit on the width of localized structures going beyond the traditional diffraction limit.
Reference:
Impact of nonlocal interactions in dissipative systems: Towards minimal-sized localized structures (Gelens, L., Van der Sande, G., Tassin, P., Tlidi, M., Kockaert, P., Gomila, D., Veretennicoff, I. and Danckaert, J.), In Physical Review A, volume 75, 2007.
Bibtex Entry:
@article{gelens_impact_2007,
	title = {Impact of nonlocal interactions in dissipative systems: {Towards} minimal-sized localized structures},
	volume = {75},
	shorttitle = {Impact of nonlocal interactions in dissipative systems},
	url = {http://link.aps.org/doi/10.1103/PhysRevA.75.063812},
	doi = {10.1103/PhysRevA.75.063812},
	abstract = {In order to investigate the size limit of spatial localized structures in a nonlinear system, we explore the impact of linear nonlocality on their domains of existence and stability. Our system of choice is an optical microresonator containing an additional metamaterial layer in the cavity, allowing the nonlocal response of the material to become the dominating spatial process. In that case, our bifurcation analysis shows that this nonlocality imposes another limit on the width of localized structures going beyond the traditional diffraction limit.},
	number = {6},
	urldate = {2016-11-07},
	journal = {Physical Review A},
	author = {Gelens, L. and Van der Sande, G. and Tassin, P. and Tlidi, M. and Kockaert, P. and Gomila, D. and Veretennicoff, I. and Danckaert, J.},
	month = jun,
	year = {2007},
	pages = {063812},
	file = {APS Snapshot:/home/jan/.zotero/zotero/djuw86a6.default/zotero/storage/XPWMC8RJ/PhysRevA.75.html:text/html}
}