Project description
How different dimensions impact dissipative solitons’ dynamics
Dissipative solitons (DS) in Kerr cavities maintain their shape during propagation through a balance of nonlinear and linear effects. They can be temporal or spatial solitons, while spatiotemporal solitons (STDS) retain both profiles but are prone to wave collapse. With the support of the Marie Skłodowska-Curie Actions programme, the ENLIGHTENS project will explore how different dimensions impact the dynamics and stability of DS. It will focus on the factors affecting the stability of these states as dimensions increase and will develop strategies to enhance stability, potentially stabilising 3D STDS through phase modulation. By introducing spatial effects, the project will analyse these states and their transitions, offering insights that could drive technological advancements.
Objective
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.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
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Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2023-PF-01
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1050 Bruxelles / Brussel
Belgium
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