{
  "abstract": "This paper studies continuous transmissive reconfigurable intelligent surface (CT-RIS)-enabled multiuser downlink communications, where passive beamforming is characterized by a phase function defined over the continuous aperture. We employ a distance-dependent spherical-wave model for the base station (BS)-to-CT-RIS link and introduce a finite-path model based on field-response vectors for the CT-RIS-to-user links. The resulting weighted sum rate maximization problem jointly optimizes the finite-dimensional BS precoders and the infinite-dimensional CT-RIS phase function, giving rise to a mixed finite- and infinite-dimensional non-convex optimization problem. To address this problem, we develop an alternating optimization algorithm that combines a closed-form BS precoder update with a functional phase update derived using the calculus of variations and minorization-maximization. Numerical results demonstrate that the proposed CT-RIS consistently outperforms the considered benchmarks, with the performance gains attributed to spatially continuous phase control and a larger effective receiving area.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07618",
  "author_total": 6,
  "authors": [
    {
      "name": "Beining Han"
    },
    {
      "name": "Shumeng Zhang"
    },
    {
      "name": "Deyou Zhang"
    },
    {
      "name": "Qingchao Li"
    },
    {
      "name": "Jun Liu"
    },
    {
      "name": "Chuang Shi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6c0zt97kp09t6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07618",
  "fulltext_url": null,
  "id": "6c0zt97kp09t6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07618",
  "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",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "2208|Advanced Wireless Communication Technologies"
    ]
  ],
  "openalex": "W7221011507",
  "pdf_url": "https://arxiv.org/pdf/2610.07618",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6c0zt97kp09t6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.07618",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07618"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Joint Beamforming for Continuous Transmissive RIS-Enabled Multiuser Communications",
  "title_text": "Joint Beamforming for Continuous Transmissive RIS-Enabled Multiuser Communications",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/6c0zt97kp09t6",
  "venue": "arXiv",
  "versions": []
}