{
  "annotation_id": "e40cb995-3bcb-4387-bceb-67f32c12efd5",
  "date_created": "2026-03-02T18:00:47.008000Z",
  "date_modified": "2026-03-02T18:00:47.008000Z",
  "file_hash": "57a4240bac43fc4d995c3a9c7ff2bc7dc1dc3867b3e4e36825f3c81574b64225",
  "private": false,
  "record": {
    "abstract": "Beams that experience third-harmonic generation (THG) also experience Kerr\neffects. With Kerr effects, beams do not take simple Gaussian shapes, but\nexhibit nonlinear dynamics. These nonlinear dynamics have an effect on the THG\naccumulated by focusing and then diverging beams. We formulate a\nself-consistent and complete set of nonlinear Schroedinger equations for a pair\nof coupled beams -- a fundamental and its third-harmonic. Numerical simulations\nshow that the Kerr nonlinearities allow some third-harmonic to propagate to the\nfar-field even for zero or negative phase-mismatch. This is because the\nnonlinear dynamics break the beams\u0027 reflection symmetry about the focal plane\nand therefore increases far-field THG by changing some of the interference from\ndestructive to constructive. THG conversion efficiencies are computed as\nfunctions of several beam parameters.",
    "arxiv_id": "physics/0311102",
    "authors": [
      "Richard S. Tasgal",
      "Marek Trippenbach",
      "M. Matuszewski",
      "Y. B. Band"
    ],
    "categories": [
      "physics.optics",
      "physics.comp-ph"
    ],
    "doi": "10.1103/PhysRevA.69.013809",
    "title": "Highly Nonlinear Dynamics of Third-Harmonic Generation by Focused Beams",
    "url": "https://arxiv.org/abs/physics/0311102"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "be7ca3ff-673e-4f01-98f9-313c68701323",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}