{
  "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.27655",
  "author_total": 3,
  "authors": [
    {
      "name": "Stepan Bogdanov"
    },
    {
      "name": "Anastasiya Bednyakova"
    },
    {
      "name": "Sergei K. Turitsyn"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3xz5snjcpqxch.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.27655",
  "fulltext_url": null,
  "id": "3xz5snjcpqxch",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.27655",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "nlin.PS"
    ],
    [
      "arxiv",
      "physics.optics"
    ],
    [
      "openalex",
      "3107|Advanced Fiber Laser Technologies"
    ]
  ],
  "openalex": "W7214187711",
  "pdf_url": "https://arxiv.org/pdf/2609.27655",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3xz5snjcpqxch.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2609.27655",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.27655"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.PS",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Shift-register synchronization of dual-wavelength pulse trains in resonators with quadratic nonlinearity",
  "title_text": "Shift-register synchronization of dual-wavelength pulse trains in resonators with quadratic nonlinearity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:56Z",
  "url": "https://research.draconitic.com/paper/3xz5snjcpqxch",
  "venue": "arXiv",
  "versions": []
}