{
  "abstract": "The Filoche--Mayboroda (FM) localization landscape predicts where the spatially localized modes of a self-adjoint elliptic operator reside without diagonalizing it, but the construction fails for the complex, non-normal Green's matrix G of an open scattering array of electric dipoles. We propose three real-valued, positive landscapes built from the Feinberg--Zee hermitization of G: a regularised Gramian inverse (Gram), the diagonal Schur block that carries the Metz--Neri--Rogers spectral density (SY), and the full hermitized inverse contracted against a polarization-isotropic source pair (Herm). The three form a progression from spectrum-blind to fully hermitisation-faithful, agree in the limit $z\\to 0$, and diverge where it matters: at nonzero spectral shift SY resolves modes that Gram collapses, and Herm resolves modes that SY collapses. We demonstrate the progression on random and deterministic aperiodic scattering arrays with a wide range of structural correlations, extend to the vectorial case of transverse electric polarization (TE), and provide rigorous justifications along with mathematical proofs and a complete numerical recipe in the appendices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13413",
  "author_total": 2,
  "authors": [
    {
      "name": "Luca Dal Negro"
    },
    {
      "name": "Hari Sundar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/19av0zefy44dy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13413",
  "fulltext_url": null,
  "id": "19av0zefy44dy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13413",
  "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",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7221544497",
  "pdf_url": "https://arxiv.org/pdf/2610.13413",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/19av0zefy44dy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.13413",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13413"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    }
  ],
  "title": "Localization Landscapes based on the Green's Matrix of Non-Hermitian Optical Scattering Systems",
  "title_text": "Localization Landscapes based on the Green's Matrix of Non-Hermitian Optical Scattering Systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/19av0zefy44dy",
  "venue": "arXiv",
  "versions": []
}