Fractional-Order Modeling of a Multistable Erbium-Doped Fiber Laser

We propose a novel mathematical model of a multistable erbium-doped fiber laser based on Caputo fractional derivative equations. The model is used to investigate how the laser dynamics evolve as the derivative order is varied. Our results demonstrate that the fractional-order formulation provides a more accurate description of the experimentally observed laser dynamics compared to conventional integer-order models. This study highlights the importance of fractional calculus in modeling complex nonlinear photonic systems and offers new insights into the dynamics of multistable lasers.

Authors

Institutions

Publication Details

Journal
Photonics
Published
2025-10-14
DOI
https://doi.org/10.3390/photonics12101014
Primary Topic
Advanced Fiber Laser Technologies
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Fractional-Order Modeling of a Multistable Erbium-Doped Fiber Laser

Juan Hugo García-López, Jorge Angelmiro Pabón Gómez, J.J. Barba-Franco, A. Gallegos et al.
Photonics
Advanced Fiber Laser Technologies
article

Fractional-Order Modeling of a Multistable Erbium-Doped Fiber Laser

Juan Hugo García-López, Jorge Angelmiro Pabón Gómez, J.J. Barba-Franco, A. Gallegos, Alexander N. Pisarchik, R. Jaimes-Reátegui
article en

Abstract

We propose a novel mathematical model of a multistable erbium-doped fiber laser based on Caputo fractional derivative equations. The model is used to investigate how the laser dynamics evolve as the derivative order is varied. Our results demonstrate that the fractional-order formulation provides a more accurate description of the experimentally observed laser dynamics compared to conventional integer-order models. This study highlights the importance of fractional calculus in modeling complex nonlinear photonic systems and offers new insights into the dynamics of multistable lasers.

PhotonicsVol. 12(10)
Universidad de Guadalajara (MX), Tecnológico Nacional de México (MX), Universidad Enrique Díaz de León (MX), Universidad Politécnica de Madrid (ES)
Openalex Percentile: Top 77%
Advanced Fiber Laser Technologies
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Fractional-Order Modeling of a Multistable Erbium-Doped Fiber Laser — Juan Hugo García-López, Jorge Angelmiro Pabón Gómez, et al. · Photonics (2025) | TGRS Research Map | TGRS