{
  "abstract": "The coexistence of gain and loss in parity-time symmetric bilayer meta-gratings enables the transformation of bound states in the continuum into a ring of lasing threshold modes. Under lasing state, gain saturation drives the contraction of this mode ring into a single discrete lasing point. Additionally incident weak optical field with frequency and incident angle nearly matched to the lasing mode can obtain amplification accompanied by prominent Goos-H$\\ddot{a}$nchen shifts. Specifically, active meta-grating with lasing mode at the $Γ$ point induce sizable Goos-H$\\ddot{a}$nchen shifts. In contrast, active meta-grating with lasing mode off the $Γ$ point induce large Goos-H$\\ddot{a}$nchen shifts that are proportional to the quality factor of the effective resonant modes under lasing state. In finite meta-grating, finite-size effects exert distinct influences on the lasing state as well as the Goos-H$\\ddot{a}$nchen shifts of the additionally incident optical field: the lasing characteristics and Goos-H$\\ddot{a}$nchen shifts of $Γ$-point lasing modes remain nearly unaffected, whereas those of off-$Γ$ lasing modes are significantly modulated by finite-size perturbations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.31060",
  "author_total": 2,
  "authors": [
    {
      "name": "Ma Luo"
    },
    {
      "name": "Xueyi Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/36g44g6j4n53s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.31060",
  "fulltext_url": null,
  "id": "36g44g6j4n53s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.31060",
  "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",
      "2504|Metamaterials and Metasurfaces Applications"
    ]
  ],
  "openalex": "W7166852504",
  "pdf_url": "https://arxiv.org/pdf/2606.31060",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/36g44g6j4n53s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2606.31060",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.31060"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    }
  ],
  "title": "Optical Amplification with Large Goos-H$\\ddot{a}$nchen Shift Driven by Non-Hermitian Bilayer Meta-Grating Under Lasing State",
  "title_text": "Optical Amplification with Large Goos-Hänchen Shift Driven by Non-Hermitian Bilayer Meta-Grating Under Lasing State",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/36g44g6j4n53s",
  "venue": "arXiv",
  "versions": []
}