{
  "id": "1706.08113",
  "version": "v1",
  "published": "2017-06-25T14:14:36.000Z",
  "updated": "2017-06-25T14:14:36.000Z",
  "title": "Sub-wavelength focusing of acoustic waves in bubbly media",
  "authors": [
    "Habib Ammari",
    "Brian Fitzpatrick",
    "David Gontier",
    "Hyundae Lee",
    "Hai Zhang"
  ],
  "comment": "17 pages, 8 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "The purpose of this paper is to investigate acoustic wave scattering by a large number of bubbles in a liquid at frequencies near the Minnaert resonance frequency. This bubbly media has been exploited in practice to obtain super-focusing of acoustic waves. Using layer potential techniques we derive the scattering function for a single spherical bubble excited by an incident wave in the low frequency regime. We then derive the point scatter approximation for multiple scattering by N bubbles. We describe several numerical experiments based on the point scatterer approximation that demonstrate the possibility of achieving super-focusing using bubbly media.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-25T14:14:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35C20"
    ],
    "keywords": [
      "acoustic wave",
      "bubbly media",
      "sub-wavelength focusing",
      "point scatterer approximation",
      "point scatter approximation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}