Quartic Kerr cavity combs: bright and dark solitons
We theoretically investigate the dynamics, bifurcation structure, and stability of localized states in Kerr cavities driven at the pure fourth-order dispersion point. Both the normal and anomalous group velocity dispersion regimes are analyzed, highlighting the main differences from the standard sec...
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| Veröffentlicht in: | Optics letters Jg. 47; H. 10; S. 2438 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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15.05.2022
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| ISSN: | 1539-4794, 1539-4794 |
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| Abstract | We theoretically investigate the dynamics, bifurcation structure, and stability of localized states in Kerr cavities driven at the pure fourth-order dispersion point. Both the normal and anomalous group velocity dispersion regimes are analyzed, highlighting the main differences from the standard second-order dispersion case. In the anomalous regime, single and multi-peak localized states exist and are stable over a much wider region of the parameter space. In the normal dispersion regime, stable narrow bright solitons exist. Some of our findings can be understood using a new, to the best of our knowledge, scenario reported here for the spatial eigenvalues, which imposes oscillatory tails to all localized states. |
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| AbstractList | We theoretically investigate the dynamics, bifurcation structure, and stability of localized states in Kerr cavities driven at the pure fourth-order dispersion point. Both the normal and anomalous group velocity dispersion regimes are analyzed, highlighting the main differences from the standard second-order dispersion case. In the anomalous regime, single and multi-peak localized states exist and are stable over a much wider region of the parameter space. In the normal dispersion regime, stable narrow bright solitons exist. Some of our findings can be understood using a new, to the best of our knowledge, scenario reported here for the spatial eigenvalues, which imposes oscillatory tails to all localized states.We theoretically investigate the dynamics, bifurcation structure, and stability of localized states in Kerr cavities driven at the pure fourth-order dispersion point. Both the normal and anomalous group velocity dispersion regimes are analyzed, highlighting the main differences from the standard second-order dispersion case. In the anomalous regime, single and multi-peak localized states exist and are stable over a much wider region of the parameter space. In the normal dispersion regime, stable narrow bright solitons exist. Some of our findings can be understood using a new, to the best of our knowledge, scenario reported here for the spatial eigenvalues, which imposes oscillatory tails to all localized states. We theoretically investigate the dynamics, bifurcation structure, and stability of localized states in Kerr cavities driven at the pure fourth-order dispersion point. Both the normal and anomalous group velocity dispersion regimes are analyzed, highlighting the main differences from the standard second-order dispersion case. In the anomalous regime, single and multi-peak localized states exist and are stable over a much wider region of the parameter space. In the normal dispersion regime, stable narrow bright solitons exist. Some of our findings can be understood using a new, to the best of our knowledge, scenario reported here for the spatial eigenvalues, which imposes oscillatory tails to all localized states. |
| Author | Hetzel, Sabrina Milián, Carles Parra-Rivas, Pedro de Córdoba, Pedro Fernández Alberto Conejero, J Kartashov, Yaroslav V Aceves, Alejandro |
| Author_xml | – sequence: 1 givenname: Pedro surname: Parra-Rivas fullname: Parra-Rivas, Pedro – sequence: 2 givenname: Sabrina surname: Hetzel fullname: Hetzel, Sabrina – sequence: 3 givenname: Yaroslav V surname: Kartashov fullname: Kartashov, Yaroslav V – sequence: 4 givenname: Pedro Fernández surname: de Córdoba fullname: de Córdoba, Pedro Fernández – sequence: 5 givenname: J surname: Alberto Conejero fullname: Alberto Conejero, J – sequence: 6 givenname: Alejandro surname: Aceves fullname: Aceves, Alejandro – sequence: 7 givenname: Carles surname: Milián fullname: Milián, Carles |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/35561369$$D View this record in MEDLINE/PubMed |
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| CitedBy_id | crossref_primary_10_1016_j_optcom_2023_129560 crossref_primary_10_1016_j_optcom_2023_130230 crossref_primary_10_1016_j_physd_2025_134829 crossref_primary_10_1103_PhysRevA_111_013510 crossref_primary_10_1016_j_cnsns_2023_107362 crossref_primary_10_1109_JPHOT_2024_3370179 crossref_primary_10_1016_j_chaos_2024_115201 crossref_primary_10_1364_PRJ_531393 crossref_primary_10_1364_OL_563491 crossref_primary_10_1364_OL_564975 crossref_primary_10_1007_s11071_022_07673_3 crossref_primary_10_1016_j_chaos_2024_115628 crossref_primary_10_1364_OL_563984 |
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| Title | Quartic Kerr cavity combs: bright and dark solitons |
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