Description du projet
L’impact des différentes dimensions sur la dynamique des solitons dissipatifs
Les solitons dissipatifs (DS pour «dissipative solitons») dans les cavités de Kerr conservent leur forme au cours de la propagation grâce à un équilibre entre les effets non linéaires et linéaires. Il peut s’agir de solitons temporels ou spatiaux, tandis que les solitons dissipatifs spatiotemporels (STDS pour «spatiotemporal dissipative solitons») conservent les deux profils mais sont sujets à l’effondrement des ondes. Soutenu par le programme Actions Marie Skłodowska-Curie, le projet ENLIGHTENS examinera la manière dont les différentes dimensions influencent la dynamique et la stabilité des DS. Il se concentrera sur les facteurs affectant la stabilité de ces états au fur et à mesure que les dimensions augmentent et développera des stratégies pour améliorer la stabilité, en stabilisant potentiellement les STDS 3D par modulation de phase. En introduisant des effets spatiaux, le projet analysera ces états et leurs transitions, offrant des perspectives qui pourraient mener à des avancées technologiques.
Objectif
The ENLIGHTENS project focuses on investigating how dimensions influence the dynamics, stability, and characteristics of dissipative solitons (DS) within externally driven multimode Kerr cavities. DS are fascinating localized structures that maintain their inherent shapes during propagation, owing to a delicate balance between the nonlinear Kerr effect, linear dispersion/diffraction, gain, and dissipative processes. These states retain their temporal profiles along the propagation direction, forming temporal solitons, or preserve spatial profiles orthogonal to the propagation direction, leading to the emergence of spatial solitons. Spatiotemporal solitons (STDS) represent a class of states that not only maintain spatial but also temporal profiles, exhibiting complex dynamics. However, such states tend to be vulnerable to wave collapse. In this context, the ENLIGHTENS project seeks to explore the dimensional aspects affecting the stability of DS as dimensions increase and develop strategies to enhance their stability. My preliminary findings suggest that phase modulation has the potential to expand the stability range within 1D temporal DS and could potentially stabilize 3D STDS. Within this framework, I will further conduct a comprehensive bifurcation analysis of these 1D temporal dissipative states under various influences, laying the groundwork for further investigation. Subsequently, I will focus on the transition of these 1D states by introducing spatial effects as a weak perturbation that later becomes a dominant factor in the system. This methodology enables me to progressively tackle increasing complexity, facilitating the study of high-dimensional problems in a step-by-step fashion. Understanding these states holds paramount significance and carries the potential for groundbreaking advancements across diverse technological domains, including the development of innovative multidimensional Kerr frequency combs.
Programme(s)
- HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA) Main Programme
Régime de financement
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European FellowshipsCoordinateur
1050 Bruxelles / Brussel
Belgique