2025/09/26 by Kalashnikov, V. L., Rudenkov, A., Sorokin, E. +1
#FOS: Physical sciences #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS)
paper · doi:10.48550/arxiv.2509.22806
We develop an adiabatic theory for strongly chirped dissipative solitons governed by the cubic-quintic complex Ginzburg-Landau equation and analyze their existence regions in both normal- and anomalous-dispersion regimes. Closed-form expressions for the spectrum, peak power, and energy allow a compact dimensionless parameterization of the dissipative soliton parametric space. The analysis reveals that dissipative-soliton resonance, i.e., chirp-driven temporal stretching with bounded peak power, naturally emerges on the scalable branch, providing a direct pathway to high-energy femtosecond oscillators without the need for external amplification. We establish a basis for interpreting these results within a thermodynamic framework that connects energy ``condensation'' in the soliton to a BEC-like metaphor, providing quantitative indicators for energy scalability limits and breakup onsets, and aligning with a recently formulated thermodynamic methodology for dissipative solitons. Beyond immediate laser design guidance, our approach suggests a generalized thermodynamic theory of strongly chirped dissipative solitons, including measurable entropy/temperature proxies and a phase diagram that delineates single- versus multi-soliton states. This unifies practical laser-engineering criteria with many-body concepts, pointing to optics-based, metaphorical simulations of condensate phenomena.