Report
Variational approach to multimode nonlinear optical fibers
| العنوان: | Variational approach to multimode nonlinear optical fibers |
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| المؤلفون: | Lorenzi, Francesco, Salasnich, Luca |
| سنة النشر: | 2025 |
| المجموعة: | Nonlinear Sciences Physics (Other) |
| مصطلحات موضوعية: | Nonlinear Sciences - Pattern Formation and Solitons, Physics - Optics |
| الوصف: | We analyze the spatiotemporal solitary waves of a graded-index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schr\"odinger 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 Schr\"odinger equation, we provide a comparison of the stationary mode profiles in the radial and temporal coordinates. Comment: 9 pages, 3 figures. Accepted for publication in Nanophotonics |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1515/nanoph-2024-0591 |
| URL الوصول: | http://arxiv.org/abs/2501.11058 |
| رقم الانضمام: | edsarx.2501.11058 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1515/nanoph-2024-0591 |
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