Impact of phase modulation on the dynamics of temporal localized structures in injected Kerr microcavities

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Hauptverfasser: Hunkemöller, Marc, Seidel, Thomas G., Javaloyes, Julien, Gurevich, Svetlana V.
Format: Preprint
Veröffentlicht: 2026
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author Hunkemöller, Marc
Seidel, Thomas G.
Javaloyes, Julien
Gurevich, Svetlana V.
author_facet Hunkemöller, Marc
Seidel, Thomas G.
Javaloyes, Julien
Gurevich, Svetlana V.
contents We theoretically investigate how phase modulation alters the dynamics of temporal localized structures (TLSs) in vertically emitting Kerr micro-cavities under detuned optical injection operating in the normal dispersion regime. We show that the emergence of TLSs in general is governed by a synchronization between the imposed modulation and the intrinsic pulse dynamics. We perform a multi-parameter bifurcation analysis of the underlying delay-algebraic equation model in the uniform field limit and demonstrate that weakly nonlinear and dissipative Hermite-Gauss modes shape the dynamics of dark TLSs, leading to a complex hybrid bifurcation structure. Beyond the uniform field limit, both bright and dark modulated TLSs are shown to exist and to occupy distinct equilibrium positions within the cavity. An effective equation of motion for the TLS positions is derived, showing a good agreement with the full model.
format Preprint
id arxiv_https___arxiv_org_abs_2603_16807
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Impact of phase modulation on the dynamics of temporal localized structures in injected Kerr microcavities
Hunkemöller, Marc
Seidel, Thomas G.
Javaloyes, Julien
Gurevich, Svetlana V.
Pattern Formation and Solitons
Optics
We theoretically investigate how phase modulation alters the dynamics of temporal localized structures (TLSs) in vertically emitting Kerr micro-cavities under detuned optical injection operating in the normal dispersion regime. We show that the emergence of TLSs in general is governed by a synchronization between the imposed modulation and the intrinsic pulse dynamics. We perform a multi-parameter bifurcation analysis of the underlying delay-algebraic equation model in the uniform field limit and demonstrate that weakly nonlinear and dissipative Hermite-Gauss modes shape the dynamics of dark TLSs, leading to a complex hybrid bifurcation structure. Beyond the uniform field limit, both bright and dark modulated TLSs are shown to exist and to occupy distinct equilibrium positions within the cavity. An effective equation of motion for the TLS positions is derived, showing a good agreement with the full model.
title Impact of phase modulation on the dynamics of temporal localized structures in injected Kerr microcavities
topic Pattern Formation and Solitons
Optics
url https://arxiv.org/abs/2603.16807