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A phenomenological linewidth enhancement factor (LEF) was recently used to explain a variety of laser dynamics, from free-running optical frequency combs (OFCs) to solitonic-structures in quantum cascade lasers (QCLs). In this work, we provide a physical origin of the LEF for the first time. The inclusion of scattering assisted optical transitions leads to considerable asymmetry of the gain lineshape, which induces a finite LEF. A k-space resolved density matrix model that incorporates multiple elastic and inelastic scattering mechanisms was used. A laser master equation including LEF is derived that shows OFC formation and provides a link to Kerr microresonators.
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Nikola Opacak, Sandro Dal Cin, Johannes Hillbrand, Gottfried Strasser, Benedikt Schwarz, "Origin of the linewidth enhancement factor: Resonant processes behind optical frequency comb formation," Proc. SPIE 11705, Novel In-Plane Semiconductor Lasers XX, 1170511 (5 March 2021); https://doi.org/10.1117/12.2577796