{
  "abstract": "Photonic waveguide design often requires repeated full-vector Maxwell eigenmode solves over wavelength, geometry, and material parameters. We present an adaptive eigenvector-continuation framework for accelerating and stabilizing these modal sweeps. The method constructs a reduced basis from selected full-order modal snapshots, solves projected Maxwell eigenproblems at new query points, reconstructs the modal fields, and monitors accuracy with a full operator residual. We demonstrate three regimes. In fixed-geometry wavelength sweeps of a strip waveguide, well-distributed snapshots reproduce the target modal branch with low residual and low effective-index error. In a multimode ridge waveguide, a shared reduced basis containing several modal families enables robust broadband mode-family tracking and residual-guided adaptive enrichment. In geometry-dependent width sweeps, the method gives accurate effective-index predictions and high field overlap, but the residual reveals moving-boundary errors caused by non-smooth changes of the discrete operator on a fixed Cartesian grid. These results show that adaptive eigenvector continuation is an operator-consistent modal emulator and diagnostic tool for photonic waveguide sweeps.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.30744",
  "author_total": 2,
  "authors": [
    {
      "name": "Daniel Rodíguez-Guillén"
    },
    {
      "name": "Lorena Velázquez-Ibarra"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bnq47rewscq6h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.30744",
  "fulltext_url": null,
  "id": "bnq47rewscq6h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.30744",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.optics"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.30744",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bnq47rewscq6h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:19Z",
      "native_id": "2606.30744",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.30744"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    }
  ],
  "title": "Adaptive Eigenvector Continuation for Full-Vector Photonic Waveguide Mode Emulation",
  "title_text": "Adaptive Eigenvector Continuation for Full-Vector Photonic Waveguide Mode Emulation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:19Z",
  "url": "https://research.draconitic.com/paper/bnq47rewscq6h",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1364/josab.610881",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}