{
  "annotation_id": "4f0c06e1-a990-4f4d-94e2-9803e9513d78",
  "date_created": "2026-02-17T05:53:08.498000Z",
  "date_modified": "2026-02-17T05:53:08.498000Z",
  "file_hash": "b4fbc5c9b7b8fb9a1f73df677f19218d3d5707ddbffcdb6b6e4744d3981f0376",
  "private": false,
  "record": {
    "abstract": "This paper focuses on phase retrieval from phaseless total-field data in biharmonic scattering problems. We prove that a phased biharmonic wave can be uniquely determined by the modulus of the total biharmonic wave within a nonempty domain. As a direct corollary, the uniqueness for the inverse biharmonic scattering problem with phaseless total-field data is established. Moreover, using the Atkinson-type asymptotic expansion, we derive explicit asymptotic formulas for the problem of phase retrieval.",
    "arxiv_id": "2601.06917",
    "authors": [
      "Yuxiang Cheng",
      "Xiaoxu Xu",
      "Haiwen Zhang"
    ],
    "categories": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Asymptotic formulas for phase recovering from phaseless data of biharmonic waves at a fixed frequency",
    "url": "https://arxiv.org/abs/2601.06917",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c7ce44a3-8786-4e0f-8992-d8d7294f8df5",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}