{
  "id": "1012.2779",
  "version": "v1",
  "published": "2010-12-13T15:58:34.000Z",
  "updated": "2010-12-13T15:58:34.000Z",
  "title": "Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave",
  "authors": [
    "A. G. Ramm"
  ],
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "Let $q(x)$ be real-valued compactly supported sufficiently smooth function. It is proved that the scattering data $A(\\beta,\\alpha_0,k)$ $\\forall \\beta\\in S^2$, $\\forall k>0,$ determine $q$ uniquely. Here $\\alpha_0\\in S^2$ is a fixed direction of the incident plane wave.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-13T15:58:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P25",
      "35R30",
      "81Q05",
      "03.65.Ge",
      "02.30.Zz"
    ],
    "keywords": [
      "inverse scattering problem",
      "scattering data",
      "fixed direction",
      "incident wave",
      "supported sufficiently smooth function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.3666985",
      "journal": "Journal of Mathematical Physics",
      "year": 2011,
      "month": "Dec",
      "volume": 52,
      "number": 12,
      "pages": 3506
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JMP....52l3506R"
    }
  }
}