Generalized method of moments for investigation of ultra-fast fiber amplifiers with gain-managed nonlinearity
Kozlov M. Ivanov M. Mckinstrie C.J. Sidorenko P.
10 February 2025Optica Publishing Group (formerly OSA)
Optics Express
2025#33Issue 36171 - 6189 pp.
Fiber-based ultrafast laser sources are rapidly expanding in both scientific and industrial domains, making them highly desirable for a variety of applications. The recently demonstrated gain-managed nonlinear (GMN) regime is particularly appealing because it enables the generation of high-energy, clean sub-50-fs pulses in a straightforward setup. However, the complex interaction between nonlinear pulse evolution and the longitudinally evolving gain shaping presents a scientific challenge in understanding how the parameters of GMN laser systems influence the characteristics of the output pulses. In this work, we introduce a computationally efficient approach using the generalized Method of Moments to analyze the dynamically evolving pulse characteristics. This method considers pulse asymmetry in GMN systems and assesses position- and frequency-dependent gain by solving population inversion rate equations. We apply our approach to demonstrate an effective multidimensional parameter optimization of a GMN amplifier.
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Center for Preparatory Studies, Nazarbayev University, Astana, 010000, Kazakhstan
Max Born Institute, Max-Born Straße 2A, Berlin, D-12489, Germany
Department of Physics, Humboldt University, Newtonstraße 15, Berlin, D-12489, Germany
Blackett Laboratory, Imperial College London, South Kensington Campus, London, SW7 2AZ, United Kingdom
Department of Electrical and Computer Engineering, Solid-State Institute, Technion– Israel Institute of Technology, Haifa, 32000, Israel
3 Red Fox Run, Manalapan, 07726, NJ, United States
Center for Preparatory Studies
Max Born Institute
Department of Physics
Blackett Laboratory
Department of Electrical and Computer Engineering
3 Red Fox Run
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