4.7 Article

Short- and long-range temporal cavity soliton interaction in delay models of mode-locked lasers

Journal

PHYSICAL REVIEW E
Volume 105, Issue 4, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.105.044207

Keywords

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Funding

  1. Deutsche Forschungsgemeinschaft (DFG) [445430311]

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This paper derives and analyzes the interaction equations governing the slow time evolution of two interacting temporal cavity solitons in a delay differential equation model of a nonlinear mirror mode-locked laser. The study shows that long-range soliton interaction can result in either harmonic mode-locking regime or closely packed incoherent soliton bound state, while short-range soliton interaction can lead to antiphase or in-phase stationary and breathing harmonic mode-locking regimes.
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 long-range soliton interaction due to gain depletion and recovery can lead either to a development of a harmonic mode-locking regime or to a formation of closely packed incoherent soliton bound state with weakly oscillating intersoliton time separation. Short-range soliton interaction via electric field tails can result in an antiphase or in-phase stationary and breathing harmonic mode-locking regimes.

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