

Author: Elschner J.
Publisher: Taylor & Francis Ltd
ISSN: 0003-6811
Source: Applicable Analysis, Vol.81, Iss.6, 2002-01, pp. : 1307-1328
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We consider the problem of recovering a two-dimensional periodic structure from scattered waves measured above the structure. Following an approach by Kirsch and Kress, this inverse problem is reformulated as a nonlinear optimization problem. We develop a theoretical basis for the reconstruction method in the case of an arbitrary Lipschitz grating profile. The convergence analysis is based on new perturbation and stability results for the forward problem.
Related content


Lipschitz stability in an inverse problem for the Kuramoto-Sivashinsky equation
Applicable Analysis, Vol. 92, Iss. 10, 2013-10 ,pp. :


An Inverse Diffraction Problem: Shape Reconstruction
East Asian Journal on Applied Mathematics, Vol. 5, Iss. 4, 2015-11 ,pp. :




Lipschitz stability for a hyperbolic inverse problem by finite local boundary data
Applicable Analysis, Vol. 85, Iss. 10, 2006-10 ,pp. :