{
  "abstract": "We analyze fork-grating generation of electron vortex beams beyond the ideal single-mode approximation. The incident beam is described as a paraxial Gaussian ensemble with finite transverse momentum spread and a first electromagnetic Hartree phase accumulated before the grating. Within Fresnel propagation we derive an analytical expression for each diffraction order and determine the corresponding orbital-angular-momentum statistics. The mean OAM of a selected order remains fixed by the topological rule, $\\langle L_z\\rangle_m=mp\\hbar$, while its variance is set by the residual transverse momentum spread of the beam prepared at the grating. For the Gaussian mixture, the transverse purity is $\\mathcal P_{\\perp,m}=[1+2(ΔL_{z,m}/\\hbar)^2]^{-1}$. The observed annular profile is governed by a separate propagation-dependent blurring scale, so a beam can retain well-defined mean OAM while having low transverse purity or a partially filled vortex minimum. Within the radial phase-screen approximation, the Hartree self-field modifies the propagated profile while preserving the full-plane OAM moments and transverse purity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18401",
  "author_total": 2,
  "authors": [
    {
      "name": "P. K. Tsiopa"
    },
    {
      "name": "S. S. Baturin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bgadc70dmr0ng.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18401",
  "fulltext_url": null,
  "id": "bgadc70dmr0ng",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18401",
  "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"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Orbital Angular Momentum in Optics"
    ]
  ],
  "openalex": "W7221818527",
  "pdf_url": "https://arxiv.org/pdf/2610.18401",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bgadc70dmr0ng.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.18401",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18401"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Orbital Angular Momentum Transfer and Beam-Quality Limits in Fork-Grating Electron Diffraction",
  "title_text": "Orbital Angular Momentum Transfer and Beam-Quality Limits in Fork-Grating Electron Diffraction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/bgadc70dmr0ng",
  "venue": "arXiv",
  "versions": []
}