ACOUSTO-ELECTROMAGNETIC TOMOGRAPHY

作者:Ammari Habib*; Bossy Emmanuel; Garnier Josselin; Seppecher Laurent
来源:SIAM Journal on Applied Mathematics, 2012, 72(5): 1592-1617.
DOI:10.1137/120863654

摘要

The aim of this paper is to develop a mathematical framework for acousto-electromagnetic tomography and to introduce an efficient reconstruction algorithm. In electromagnetic wave imaging, the resolution is limited by the Rayleigh criterion, that is, half the operating wavelength. By mechanically perturbing the medium, we show that it is possible to achieve a significant resolution enhancement. We provide a new inversion formula for the permittivity distribution from cross-correlations between the electromagnetic boundary measurements in the perturbed medium and those in the unperturbed one. We present numerical results to illustrate the resolution and the stability performances of the proposed reconstruction algorithm.

  • 出版日期2012