Variational approach to multimode nonlinear optical fibers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913866325164032 |
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| author | Lorenzi, Francesco Salasnich, Luca |
| author_facet | Lorenzi, Francesco Salasnich, Luca |
| contents | We analyze the spatiotemporal solitary waves of a graded-index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schrödinger equation approach, we derive an effective one-dimensional Lagrangian associated with the Laguerre-Gauss modes with a generic radial mode number p and azimuthal index m. We show that the form of the equations of motion for any Laguerre-Gauss mode is particularly simple, and we derive the critical power for the collapse for every mode. By solving the nonpolynomial Schrödinger equation, we provide a comparison of the stationary mode profiles in the radial and temporal coordinates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11058 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variational approach to multimode nonlinear optical fibers Lorenzi, Francesco Salasnich, Luca Pattern Formation and Solitons Quantum Gases Optics We analyze the spatiotemporal solitary waves of a graded-index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schrödinger equation approach, we derive an effective one-dimensional Lagrangian associated with the Laguerre-Gauss modes with a generic radial mode number p and azimuthal index m. We show that the form of the equations of motion for any Laguerre-Gauss mode is particularly simple, and we derive the critical power for the collapse for every mode. By solving the nonpolynomial Schrödinger equation, we provide a comparison of the stationary mode profiles in the radial and temporal coordinates. |
| title | Variational approach to multimode nonlinear optical fibers |
| topic | Pattern Formation and Solitons Quantum Gases Optics |
| url | https://arxiv.org/abs/2501.11058 |