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Updated: Jan 20, 2026
Linear time-invariant Systems
Third Order Dispersion in Time-Delayed Systems
C Schelte1,2, P Camelin3, M Marconi3
1Departament de Física & Institute of Applied Computing and Community Code (IAC-3),Universitat de les Illes Baleares, C/Valldemossa km 7.5, 07122 Mallorca, Spain.
Abstract:
Time-delayed dynamical systems materialize in situations where distant, pointwise, nonlinear nodes exchange information that propagates at a finite speed. However, they are considered devoid of dispersive effects, which are known to play a leading role in pattern formation and wave dynamics. We show how dispersion may appear naturally in delayed systems and we exemplify our result by studying theoretically and experimentally the influence of third order dispersion in a system composed of coupled optical microcavities. Dispersion-induced pulse satellites emerge asymmetrically and destabilize the mode-locking regime.
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