Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.02136 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910816439107584 |
|---|---|
| author | Ali, Mouhamad Al Sayed Balac, Stéphane Bourcier, Germain Caloz, Gabriel Dauge, Monique Fernandez, Arnaud Llopis, Olivier Mahé, Fabrice |
| author_facet | Ali, Mouhamad Al Sayed Balac, Stéphane Bourcier, Germain Caloz, Gabriel Dauge, Monique Fernandez, Arnaud Llopis, Olivier Mahé, Fabrice |
| contents | Lugiato-Lefever equation (LLE) is a nonlinear Schrödinger equation with damping, detuning and driving terms, introduced as a model for Kerr combs generation in ring-shape resonators and more recently, in the form of a variant, in Fabry-Perot (FP) resonators. The aim of this paper is to present some numerical methods that complement each other to solve the LLE in its general form both in the dynamic and in the steady state regimes. We also provide some mathematical properties of the LLE likely to help the understanding and interpretation of the numerical simulation results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02136 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical simulation of Lugiato-Lefever equation for Kerr combs generation in Fabry-Perot resonators Ali, Mouhamad Al Sayed Balac, Stéphane Bourcier, Germain Caloz, Gabriel Dauge, Monique Fernandez, Arnaud Llopis, Olivier Mahé, Fabrice Optics Mathematical Physics Lugiato-Lefever equation (LLE) is a nonlinear Schrödinger equation with damping, detuning and driving terms, introduced as a model for Kerr combs generation in ring-shape resonators and more recently, in the form of a variant, in Fabry-Perot (FP) resonators. The aim of this paper is to present some numerical methods that complement each other to solve the LLE in its general form both in the dynamic and in the steady state regimes. We also provide some mathematical properties of the LLE likely to help the understanding and interpretation of the numerical simulation results. |
| title | Numerical simulation of Lugiato-Lefever equation for Kerr combs generation in Fabry-Perot resonators |
| topic | Optics Mathematical Physics |
| url | https://arxiv.org/abs/2502.02136 |