Delay-differential-equation model for mode-locked lasers based on nonlinear optical and amplifying loop mirrors


Delay differential equation model of a nonlinear optical-nonlinear amplifying loop mirror mode-locked laser is developed that takes into account the finite relaxation rate of the gain medium and asymmetric beam splitting at the entrance of the nonlinear mirror loop. Asymptotic linear stability analysis of the continuous wave solutions performed in the limit of large delay indicates that in a class-B laser flip instability is preceded by the modulational instability and therefore cannot give rise to stable square wave patterns. Numerically it is shown that the model can demonstrate large windows of regular fundamental and harmonic mode-locked regimes with single and multiple pulses per cavity round trip time separated by domains of irregular pulsing.

Publication DOI:
Divisions: College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Electrical and Electronic Engineering
College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
College of Engineering & Physical Sciences
Additional Information: © 2021 American Physical Society. Funding Information: We gratefully acknowledge the support by the Deutsche Forschungsgemeinschaft (DFG-RSF Project No. 445430311). The work of S.S. and S.K.T. was supported by the Russian Science Foundation (RSF-DFG Project No. 21-42-04401).
Uncontrolled Keywords: Atomic and Molecular Physics, and Optics
Publication ISSN: 1094-1622
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... RevA.104.033525 (Publisher URL)
PURE Output Type: Article
Published Date: 2021-09-29
Accepted Date: 2021-09-03
Authors: Vladimirov, A. G.
Suchkov, S.
Huyet, G.
Turitsyn, S. K. (ORCID Profile 0000-0003-0101-3834)



Version: Accepted Version

| Preview

Export / Share Citation


Additional statistics for this record