{
  "id": "0704.3847",
  "version": "v1",
  "published": "2007-04-29T17:49:54.000Z",
  "updated": "2007-04-29T17:49:54.000Z",
  "title": "Analytical results for 2-D non-rectilinear waveguides based on the Green's function",
  "authors": [
    "Giulio Ciraolo",
    "Rolando Magnanini"
  ],
  "comment": "18 pages, 8 figures",
  "doi": "10.1002/mma.988",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the problem of wave propagation for a 2-D rectilinear optical waveguide which presents some perturbation. We construct a mathematical framework to study such a problem and prove the existence of a solution for the case of small imperfections. Our results are based on the knowledge of a Green's function for the rectilinear case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-29T17:49:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "78A50",
      "35Q60",
      "35A05",
      "35B20",
      "35J05",
      "35P05"
    ],
    "keywords": [
      "greens function",
      "non-rectilinear waveguides",
      "analytical results",
      "small imperfections",
      "wave propagation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Mathematical Methods in the Applied Sciences",
      "year": 2008,
      "month": "Sep",
      "volume": 31,
      "number": 13,
      "pages": 1587
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008MMAS...31.1587C"
    }
  }
}