{
  "id": "1810.04705",
  "version": "v1",
  "published": "2018-10-10T18:52:54.000Z",
  "updated": "2018-10-10T18:52:54.000Z",
  "title": "A direct approach to imaging in a waveguide with perturbed geometry",
  "authors": [
    "Liliana Borcea",
    "Fioralba Cakoni",
    "Shixu Meng"
  ],
  "categories": [
    "math.AP",
    "math.NA"
  ],
  "abstract": "We introduce a direct, linear sampling approach to imaging in an acoustic waveguide with sound hard walls. The waveguide terminates at one end and has unknown geometry due to compactly supported wall deformations. The goal of imaging is to determine these deformations and to identify localized scatterers in the waveguide, using a remote array of sensors that emits time harmonic probing waves and records the echoes. We present a theoretical analysis of the imaging approach and illustrate its performance with numerical simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-10T18:52:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "direct approach",
      "perturbed geometry",
      "emits time harmonic probing waves",
      "sound hard walls",
      "linear sampling approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}