Non-local and local temporal cavity soliton interaction in delay models of mode-locked lasers
- Vladimirov, Andrei G.
2020 Mathematics Subject Classification
- 78A60 37N20 78M35
2010 Physics and Astronomy Classification Scheme
- 42.65.-k 42.65.Re 42.60.Fc 42.65.Sf 42.65.Tg
- Mode-locking, nonlinear mirror, delay differential equation model, cavity solitons
Interaction equations governing slow time evolution of the coordinates and phases of two interacting temporal cavity solitons in a delay differential equation model of a nonlinear mirror mode-locked laser are derived and analyzed. It is shown that non-local pulse interaction due to gain depletion and recovery can lead either to a development of harmonic mode-locking regime, or to a formation of closely packed incoherent soliton bound state with weakly oscillating intersoliton time separation. Local interaction via electric field tails can result in an anti-phase or in-phase stationary or breathing harmonic mode-locking regime.
- Phys. Rev. E, 105 (2022), pp. 044207/1--044207/6, DOI 10.1103/PhysRevE.105.044207 .