Stable dark and bright soliton Kerr combs can coexist in normal dispersion resonators

by P. Parra-Rivas, D. Gomila, L. Gelens
Abstract:
Using the Lugiato-Lefever model, we analyze the effects of third order chromatic dispersion on the existence and stability of dark and bright soliton Kerr frequency combs in the normal dispersion regime. While in the absence of third order dispersion only dark solitons exist over an extended parameter range, we find that third order dispersion allows for stable dark and bright solitons to coexist. Reversibility is broken and the shape of the switching waves connecting the top and bottom homogeneous solutions is modified. Bright solitons come into existence thanks to the generation of oscillations in the switching wave profiles. Finally, oscillatory instabilities of dark solitons are also suppressed in the presence of sufficiently strong third order dispersion.
Reference:
Stable dark and bright soliton Kerr combs can coexist in normal dispersion resonators (P. Parra-Rivas, D. Gomila, L. Gelens), In arXiv:1609.08819 [physics], 2016. (arXiv: 1609.08819)
Bibtex Entry:
@article{parra-rivas_stable_2016,
	title = {Stable dark and bright soliton {Kerr} combs can coexist in normal dispersion resonators},
	url = {http://arxiv.org/abs/1609.08819},
	abstract = {Using the Lugiato-Lefever model, we analyze the effects of third order chromatic dispersion on the existence and stability of dark and bright soliton Kerr frequency combs in the normal dispersion regime. While in the absence of third order dispersion only dark solitons exist over an extended parameter range, we find that third order dispersion allows for stable dark and bright solitons to coexist. Reversibility is broken and the shape of the switching waves connecting the top and bottom homogeneous solutions is modified. Bright solitons come into existence thanks to the generation of oscillations in the switching wave profiles. Finally, oscillatory instabilities of dark solitons are also suppressed in the presence of sufficiently strong third order dispersion.},
	urldate = {2016-11-07},
	journal = {arXiv:1609.08819 [physics]},
	author = {Parra-Rivas, P. and Gomila, D. and Gelens, L.},
	month = sep,
	year = {2016},
	note = {arXiv: 1609.08819},
	keywords = {Physics - Optics},
	file = {arXiv:1609.08819 PDF:/home/jan/.zotero/zotero/djuw86a6.default/zotero/storage/RUU4EGSJ/Parra-Rivas et al. - 2016 - Stable dark and bright soliton Kerr combs can coex.pdf:application/pdf;arXiv.org Snapshot:/home/jan/.zotero/zotero/djuw86a6.default/zotero/storage/GEA57ZJP/1609.html:text/html}
}