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# Analytics-Based Numerical Method for Signal Evolution in Fiber Lasers

Name
Semyon
Surname
Efremov
Scientific organization
Novosibirsk State University
None
Position
Assistant
Scientific discipline
Physics & Astronomy
Topic
Analytics-Based Numerical Method for Signal Evolution in Fiber Lasers
Abstract
Design of modern fiber lasers require massive numerical modelling because of multiple system parameters and
complex nonlinear nature of light dynamics in the cavity. Therefore, analytical results for the light evolution in laser cavities
are useful for optimisation and understanding of the underlying dynamics.
The analytical solution for power evolution in general effective two-level active medium can be used in a combination with the amplitude field modelling allowing to reduce by orders of magnitude the simulation time by eliminating the first iterative procedure.
Keywords
fiber laser, signal evolution, doped fiber, signal gain
Summary

Design of modern fiber lasers require massive numerical modelling because of multiple system parameters and complex nonlinear nature of light dynamics in the cavity. Therefore, analytical results for the light evolution in laser cavities are useful for optimisation and understanding of the underlying dynamics
[1].
The analytical solution [2,3,4] for power evolution in general effective two-level active medium can be used in a combination with the amplitude field modelling allowing to reduce by orders of magnitude the simulation time by eliminating the first iterative procedure. We consider signal evolution in an effective two-level gain model [1].

For description of the signal gain in the doped fiber the analytical solution of an effective two-level system model is used. Based on this solution, the numerical method for signal evolution was designed for different resonator types. This method includes the separation of two iterative processes of the average power and signal settling, which accelerates the computational process and gives an optimization flexibility.

The analytical solution [2,3,4] allows to describe and study the generation start. Also this result can be generalized for assessing the output signal power for different resonator types, that can be useful at initial steps of the amplifying devices design.

Literature.

1. S.K. Turitsyn et al., "Modeling of CW Yb-doped fiber lasers with
highly nonlinear cavity dynamics", Optics Express, $$\bf 19$$, 8394--8405 (2011).

2. Th. Pfeiffer and H. Bulow, "Analytical Gain Equation for Erbium-Doped Fiber Amplifiers Including Mode Field Profiles and Dopant Distribution", IEEE Photonics Technology Letters, vol. 4, no. 5, May 1992.

3. Th. Pfeiffer, H. Schmuck, and H. Bulow, "Output Power Characteristics of Erbium-Doped Fiber Ring Lasers", IEEE Photonics Technology Letters, vol. 4, no. 8, August 1992.

4. C. Barnard, P. Myslinski, J. Chrostowski, M. Kavehrad, "Analytical Model for Rare-Earth-Doped Fiber Amplifiers and Lasers", IEEE Journal of Quantum Electronics, vol. 30, no. 8, August 1994.