Network synchronization of lasers is critical for achieving high-power outputs and enabling effective optical computing. However, the role of network topology in frequency synchronization of optical oscillators and lasers remains not well understood. Here, we report our significant progress toward solving this critical problem for networks of heterogeneous laser model oscillators with repulsive coupling. We discover a general approximate principle for predicting the onset of frequency synchronization from the spectral knowledge of a complex matrix representing a combination of the signless Laplacian induced by repulsive coupling and a matrix associated with intrinsic frequency detuning. We show that the gap between the two smallest eigenvalues of the complex matrix generally controls the coupling threshold for frequency synchronization. In stark contrast with attractive networks, we demonstrate that local rings and all-to-all networks prevent frequency synchronization, whereas full bipartite networks have optimal synchronization properties. Beyond laser models, we show that, with a few exceptions, the spectral principle can be applied to repulsive Kuramoto networks. Our results provide guidelines for optimal designs of scalable optical oscillator networks capable of achieving reliable frequency synchronization.
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Spectral principle for frequency synchronization in repulsive laser networks and beyond
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February 2025
Research Article|
February 03 2025
Spectral principle for frequency synchronization in repulsive laser networks and beyond
Mostafa Honari-Latifpour;
Mostafa Honari-Latifpour
(Conceptualization, Formal analysis, Investigation, Methodology, Writing – original draft, Writing – review & editing)
1
Department of Physics, Queens College, City University of New York
, New York, New York 11367, USA
2
Physics Program, The Graduate Center, City University of New York
, New York, New York 10016, USA
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Jiajie Ding;
Jiajie Ding
(Conceptualization, Formal analysis, Investigation, Methodology, Writing – original draft, Writing – review & editing)
1
Department of Physics, Queens College, City University of New York
, New York, New York 11367, USA
2
Physics Program, The Graduate Center, City University of New York
, New York, New York 10016, USA
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Igor Belykh
;
Igor Belykh
a)
(Conceptualization, Formal analysis, Investigation, Project administration, Supervision, Writing – original draft, Writing – review & editing)
3
Department of Mathematics and Statistics & Neuroscience Institute, Georgia State University
, P.O. Box 4110, Atlanta, Georgia 30302-410, USA
a)Electronic mail: [email protected]
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Mohammad-Ali Miri
Mohammad-Ali Miri
b)
(Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Supervision, Writing – original draft, Writing – review & editing)
1
Department of Physics, Queens College, City University of New York
, New York, New York 11367, USA
2
Physics Program, The Graduate Center, City University of New York
, New York, New York 10016, USA
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a)Electronic mail: [email protected]
b)
Author to whom correspondence should be addressed: [email protected]
Chaos 35, 021101 (2025)
Article history
Received:
December 01 2024
Accepted:
January 11 2025
Citation
Mostafa Honari-Latifpour, Jiajie Ding, Igor Belykh, Mohammad-Ali Miri; Spectral principle for frequency synchronization in repulsive laser networks and beyond. Chaos 1 February 2025; 35 (2): 021101. https://doi.org/10.1063/5.0251322
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