Shift-register synchronization of dual-wavelength pulse trains in resonators with quadratic nonlinearity
Abstract
Self-organization of nonlinear waves underpins phenomena ranging from hydrodynamic pattern formation to optical frequency-comb generation. We introduce and numerically demonstrate a shift-register synchronization mechanism for pulse trains in quadratic nonlinear resonators. The synchronized state persists despite substantial group-velocity mismatch through continuous parametric energy exchange, resulting in deterministic discrete pulse shifts after each cavity round trip. Nonlinear parametric interaction modifies the effective walk-off, allowing the pulse trains to satisfy the shift-register synchronization conditions. The proposed mechanism reveals a previously unexplored synchronization regime in quadratic resonators and provides a route toward multicolour frequency combs, optical memories, and ultrafast photonic information processing.
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BibTeX
@misc{bogdanov2026shiftregister,
title = {{Shift-register synchronization of dual-wavelength pulse trains in resonators with quadratic nonlinearity}},
author = {Stepan Bogdanov and Anastasiya Bednyakova and Sergei K. Turitsyn},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27655},
eprint = {2609.27655},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27655},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Shift-register synchronization of dual-wavelength pulse trains in resonators with quadratic nonlinearity
AU - Stepan Bogdanov
AU - Anastasiya Bednyakova
AU - Sergei K. Turitsyn
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.27655
UR - https://arxiv.org/abs/2609.27655
AB - Self-organization of nonlinear waves underpins phenomena ranging from hydrodynamic pattern formation to optical frequency-comb generation. We introduce and numerically demonstrate a shift-register synchronization mechanism for pulse trains in quadratic nonlinear resonators. The synchronized state persists despite substantial group-velocity mismatch through continuous parametric energy exchange, resulting in deterministic discrete pulse shifts after each cavity round trip. Nonlinear parametric interaction modifies the effective walk-off, allowing the pulse trains to satisfy the shift-register synchronization conditions. The proposed mechanism reveals a previously unexplored synchronization regime in quadratic resonators and provides a route toward multicolour frequency combs, optical memories, and ultrafast photonic information processing.
ER -