@Article{CiCP-12-1434,
author = {Johannes Elschner and Guanghui Hu},
title = {An Optimization Method in Inverse Elastic Scattering for One-Dimensional Grating Profiles},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {5},
pages = {1434--1460},
abstract = {<p style="text-align: justify;">Consider the inverse diffraction problem to determine a two-dimensional periodic structure from scattered elastic waves measured above the structure. We formulate the inverse problem as a least squares optimization problem, following the two-step algorithm by G. Bruckner and J. Elschner [Inverse Probl., 19 (2003), 315–329] for electromagnetic diffraction gratings. Such a method is based on the Kirsch-Kress optimization scheme and consists of two parts: a linear severely ill-posed problem and a nonlinear well-posed one. We apply this method to both smooth (C<sup>2</sup>) and piecewise linear gratings for the Dirichlet boundary value problem of the Navier equation. Numerical reconstructions from exact and noisy data illustrate the feasibility of the method.&nbsp;</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.220611.130112a},
url = {http://global-sci.org/intro/article_detail/cicp/7341.html}
}