{
  "abstract": "Multiple internal reflections enhance laser absorption in vaporization-induced cavities, but connecting ray histories, cavity geometry, and absorptance typically requires full ray tracing. We develop a reduced-order framework based on Beer-Lambert-type attenuation governed by an effective per-reflection optical depth (EPROD). A power-weighted formulation defines an absorptance-equivalent interaction count under constant effective single-interaction absorptance, while a cumulant expansion separates the EPROD-independent mean interaction count from ray-path heterogeneity corrections. Across nine simulation groups spanning three alloys and three spot diameters, the mean interaction count follows a unit-intercept linear depth relation with R-squared values of 0.7824-0.9843. Its slope varies by only 3.4%-6.3% across alloys at fixed spot diameter and decreases with increasing spot diameter. Fixing this slope from ray statistics yields an absorptance-depth model with one fitted parameter and a median prediction error (MAPE) of 2.61%. An independent synchronized Ti-64 experiment yields model parameters within approximately 2.4% of corresponding simulation values. This framework separates geometric interaction accumulation from optical attenuation, enabling efficient energy-coupling prediction and absorptance-based keyhole characterization.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32089",
  "author_total": 7,
  "authors": [
    {
      "name": "Haolin Liu"
    },
    {
      "name": "Haoran Shi"
    },
    {
      "name": "Xuzhe Zeng"
    },
    {
      "name": "Brian J. Simonds"
    },
    {
      "name": "Wenda Tan"
    },
    {
      "name": "Anthony D. Rollett"
    },
    {
      "name": "Levent Burak Kara"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fg4hwwvt019bp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32089",
  "fulltext_url": null,
  "id": "fg4hwwvt019bp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.32089",
  "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.app-ph"
    ],
    [
      "arxiv",
      "physics.optics"
    ],
    [
      "openalex",
      "2210|Welding Techniques and Residual Stresses"
    ]
  ],
  "openalex": "W7214746094",
  "pdf_url": "https://arxiv.org/pdf/2609.32089",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fg4hwwvt019bp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2609.32089",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32089"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.app-ph",
      "subfield": "applied-instrumentation"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    }
  ],
  "title": "A reduced-order analysis for multi-reflection-driven laser absorptance in vaporization-induced cavities",
  "title_text": "A reduced-order analysis for multi-reflection-driven laser absorptance in vaporization-induced cavities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/fg4hwwvt019bp",
  "venue": "arXiv",
  "versions": []
}