{
  "abstract": "We investigate phaseless inverse scattering problem for the Schrödinger equation and develop reconstruction methods based on the inverse Born series (IBS). We consider three types of phaseless data: the far-field total field, the total field and the far-field scattered field. For phaseless total-field data, we extend the IBS framework and analyze its radius of convergence. In the far-field setting, we propose a Fourier-based reconstruction method that exploits the scattering reciprocity between incident and observation directions to recover Fourier coefficients of the scattering potential. For phaseless scattered-field data, we employ a polarization-based approach to recover phase information and enable IBS reconstruction. Numerical experiments are conducted to validate the proposed methods.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.23784",
  "author_total": 2,
  "authors": [
    {
      "name": "John C. Schotland"
    },
    {
      "name": "Shenwen Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/avxyzanjkwjt9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.23784",
  "fulltext_url": null,
  "id": "avxyzanjkwjt9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.23784",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2610|Numerical methods in inverse problems"
    ]
  ],
  "openalex": "W7162303816",
  "pdf_url": "https://arxiv.org/pdf/2605.23784",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/avxyzanjkwjt9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2605.23784",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.23784"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Reconstruction methods for inverse scattering problems with phaseless data",
  "title_text": "Reconstruction methods for inverse scattering problems with phaseless data",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/avxyzanjkwjt9",
  "venue": "arXiv",
  "versions": []
}