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Updated: May 29, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
Published on: December 15, 2021
Suppression of the soliton self-frequency shift and compression in the presence of bandwidth-limited amplification
Ivan M Uzunov1, Todor N Arabadzhiev
1Department of Applied Physics, Technical University-Sofia, 8 Kl. Ohridski Blvd., Sofia 1000, Bulgaria. ivan uzunov@tu-sofia.bg
Abstract:
We study numerically the suppression of the soliton self-frequency shift as well as the compression in the presence of bandwidth-limited optical amplification (BLA). Our results confirm the existence of equilibrium points (stable focuses) for the soliton amplitude and speed identified by the soliton perturbation theory. Analyzing the equilibrium amplitudes as a function of physical parameters, maximum compression factor in the amplification of short pulses is revealed. The results of linear stability analysis allow estimation of the necessary distance for the appearance of equilibrium states from different initial conditions. It has been shown that the shape of the perturbed stationary solution in the presence of intrapulse Raman scattering and BLA can be described by the earlier derived analytic expressions.
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