A Functional Mapping for Passively Mode-Locked Semiconductor Lasers

Abstract

We present a novel approach for the analysis of passively mode-locked semiconductor lasers that allows for efficient parameter sweeps and time jitter analysis. It permits accessing the ultra-low repetition rate regime where pulses become localized states. The analysis including slow (e.g. thermal) processes or transverse dynamics becomes feasible. Our method bridges the divide between the phenomenological, yet highly efficient, pulse iterative model that is the Haus master equation, and the more involved first principle descriptions relying on time delayed equations. Our iterative functional mapping exploits the fundamental division of the mode-locking regime between fast and slow stages and allows computing the dynamics only in the pulse vicinity. Reductions of the simulation times and of the memory footprint up to two orders of magnitudes are demonstrated. Finally, the mapping also provides a general framework for deducing the Haus master equation from first principle models based upon delayed differential equations.

arXiv commentRevised paper for Optics Letters

References in corpus (4)

• Dissipative Light Bullets in Passively Mode-Locked Semiconductor Lasers
• Electrical Addressing and Temporal Tweezing of Localized Pulses in Passively Mode-Locked Semiconductor Lasers
• Dynamics of Localized Structures in Systems with Broken Parity Symmetry
• Dynamics and instabilities of Lasing Light Bullets in Passively Mode-Locked Semiconductor Lasers

Cited by in corpus (9)

• How carrier memory enters the Haus master equation of mode-locking
• Dispersive instabilities in Passively Mode-Locked Integrated External-Cavity Surface-Emitting Lasers
• Temporal Localized Structures in mode-locked Vertical External-Cavity Surface-Emitting Lasers
• A new spatio-temporal description of long-delayed systems: ruling the dynamics
• Spatio-temporal representation of long-delayed systems: an alternative approach
• Phase incoherent photonic molecules in V-shaped mode-locked VECSELs
• Wiggling Instabilities of Temporal Localized States in Passively Mode-Locked Vertical External-Cavity Surface-Emitting Lasers
• Efficient timing jitter simulation for passively mode-locked semiconductor lasers
• Influence of time-delayed feedback on the dynamics of temporal localized structures in passively mode-locked semiconductor lasers