Research reports

Years: 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

Reconstructing acoustic obstacles by planar and cylindrical waves

by J. Li and H. Liu and H. Sun and J. Zou

(Report number 2010-43)

Abstract
Following the spirit of the linear sampling method due to Colton and Kirsch, we develop a novel method of reconstructing acoustic obstacles in R2. There are two major new ingredients in our study. First, the reconstruction scheme makes use of the near-field measurements encoded into the boundary Dirichlet- to-Neumann (DtN) map or the Neumann-to-Dirichlet (NtD) map. Second, both the plane waves and cylindrical waves are shown to meet the reconstruction purpose. Numerical experiments are provided to illustrate the effectiveness of the proposed reconstruction scheme.

Keywords:

@Techreport{LLSZ10_441,
  author = {J. Li and H. Liu and H. Sun and J. Zou},
  title = {Reconstructing acoustic obstacles by planar and cylindrical waves },
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2010-43},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2010/2010-43.pdf },
  year = {2010}
}

Disclaimer
© Copyright for documents on this server remains with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use. The administrators respectfully request that authors inform them when any paper is published to avoid copyright infringement. Note that unauthorised copying of copyright material is illegal and may lead to prosecution. Neither the administrators nor the Seminar for Applied Mathematics (SAM) accept any liability in this respect. The most recent version of a SAM report may differ in formatting and style from published journal version. Do reference the published version if possible (see SAM Publications).