{
  "abstract": "We formulate and analyze a hybridizable discontinuous Galerkin (HDG) method for Maxwell's equations coupled to four time-modulated Drude--Lorentz models: modulated in-coupling, modulated polarization density, modulated current density, and modulated effective mass. The use of electric displacement and model-dependent continuous material states gives a common treatment of temporal interfaces while preserving the distinct physical transmission rules. We derive energy and stability estimates, establish spatial and event-aligned time-error bounds, and separate time-integration error from error caused by misplaced switching times. Numerical experiments in three dimensions and in reduced modal systems confirm the predicted spatial, temporal, and switch-timing behavior, including the field-jump effect specific to the polarization-density model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21991",
  "author_total": 1,
  "authors": [
    {
      "name": "Jeonghun J. Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/04vr5bbt7jfxq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21991",
  "fulltext_url": null,
  "id": "04vr5bbt7jfxq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21991",
  "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",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2208|Electromagnetic Simulation and Numerical Methods"
    ]
  ],
  "openalex": "W7222490460",
  "pdf_url": "https://arxiv.org/pdf/2610.21991",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/04vr5bbt7jfxq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21991",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21991"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "A Hybridizable Discontinuous Galerkin Method for Time-Modulated Drude--Lorentz Media",
  "title_text": "A Hybridizable Discontinuous Galerkin Method for Time-Modulated Drude--Lorentz Media",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/04vr5bbt7jfxq",
  "venue": "arXiv",
  "versions": []
}