@article{3035049, title = "Delay differential equations enriched with nonlinear gain compression for passively mode-locked semiconductor lasers", author = "Simos, C. and Simos, I. and Georgiou, G.", journal = "Optical and Quantum Electronics", year = "2021", volume = "53", number = "1", publisher = "Springer-Verlag", issn = "0306-8919", doi = "10.1007/s11082-020-02688-9", keywords = "Differential equations; Fabry-Perot interferometers; Mode-locked fiber lasers; Passive mode locking; Semiconductor lasers; Ultrafast lasers, Delay differential equations; Fabry-Perot cavity; Gain/absorption; Nonlinear gains; Original model; Passively mode-locked; Short pulse generation; Travelling waves, Nonlinear equations", abstract = "Non-linear gain compression is well-known to play an important role in the dynamics of short-pulse generation and propagation in semiconductor lasers. Here, a previously reported delay differential equation model for passively mode-locked semiconductor lasers is enhanced with nonlinear gain compression terms in gain and absorber sections. We report the modified model equations and show the impact in gain/absorption dynamics with respect to the original model. In addition, we perform an extended comparison between the enriched delay differential equation model applied on a ring cavity and a travelling wave model applied on an equivalent Fabry-Perot cavity, highlighting the limits of quantitative and qualitative agreement between the two approaches. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature." }