{
  "abstract": "A method is presented for the translation of acoustic field data from a source to a target region. Field data are represented as spherical harmonic expansions on spheres surrounding the source and target regions respectively and expansions are translated using a ``point and shoot'' method using the Kirchhoff--Helmholtz integral to carry out an axial translation from one sphere to the other. The principal motivation for the method is its use in a time-domain Fast Multipole Method, and test cases reflective of this application are presented. The method converges to six digits for appropriate values of parameters and for the values of $N$ considered here computational effort scales approximately as $N^{2}$ where $N$ is the order of spherical harmonic expansion for the field data. The method is causal and thus avoids artifacts generated in methods which are not based on intrinsically causal formulations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.15138",
  "author_total": 1,
  "authors": [
    {
      "name": "Michael J. Carley"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/37yty0ypdmr9n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.15138",
  "fulltext_url": null,
  "id": "37yty0ypdmr9n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.15138",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.comp-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2607.15138",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/37yty0ypdmr9n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2607.15138",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.15138"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    }
  ],
  "title": "Translation of transient acoustic fields",
  "title_text": "Translation of transient acoustic fields",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/37yty0ypdmr9n",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1121/10.0046890",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}