Two distinct excitable responses for a laser with a saturable absorber
Thomas Erneux1, Sylvain Barbay2
1Université Libre de Bruxelles, Optique Nonlinéaire Théorique, Campus Plaine, CP 231, 1050 Bruxelles, Belgium.
Physical Review. E
|July 18, 2018
Summary
Excitable lasers with saturable absorbers (LSAs) generate single pulses after small perturbations. Gain perturbations yield varying pulse amplitudes, unlike intensity perturbations, revealing distinct slow-fast dynamics.
Area of Science:
- Nonlinear Optics
- Laser Physics
- Integrated Photonics
Background:
- Excitable lasers with saturable absorbers (LSAs) are explored for optical computing.
- LSAs exhibit single-pulse generation upon perturbation, similar to biological neurons.
- Recent experiments highlight LSA dynamics under perturbations.
Purpose of the Study:
- Analyze the effects of different initial perturbations on LSA dynamics.
- Classify the LSA as a Type I excitable system based on its steady states.
- Investigate the underlying mechanisms for distinct pulse behaviors.
Main Methods:
- Utilized rate equations for the laser with a saturable absorber (LSA).
- Analyzed slow-fast dynamics to explain pulse generation differences.
- Employed a two-variable LSA model for phase plane analysis.
- Extended analysis to full three-variable LSA equations near a degenerate steady bifurcation point.
Main Results:
- LSAs are confirmed as Type I excitable systems.
- Gain perturbations produce pulses of varying amplitudes, while intensity perturbations yield uniform pulses.
- Distinct slow-fast dynamics explain the amplitude variations.
- Analysis generalizes prior findings for unequal carrier density rates.
Conclusions:
- LSA excitability is sensitive to the type of perturbation (gain vs. intensity).
- The study elucidates the role of slow-fast dynamics in LSA pulse generation.
- Fundamental differences exist between neuronal and laser excitable models.
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