Date: Friday, February 20, 2015
Location: 1084 East Hall (3:00 PM to 4:00 PM)
Title: An electromagnetic inverse scattering problem for periodic structures
Abstract: We consider the problem of shape reconstruction in inverse scattering of timeharmonic electromagnetic waves for periodic structures. We are interested in a class of periodic structures which are known as diffraction gratings. They are encountered in applications in optics such as diffractive optical filters and organic lightemitting diodes. The shape reconstruction problem under consideration, motivated by applications of nondestructive testing, can be formulated as an inverse problem. More precisely, given measurements of the scattered fields for a number of incident fields, we aim to reconstruct shape of the grating. We investigate the Factorization method introduced by A. Kirsch as an analytical as well as a numerical tool for solving this inverse problem. This method constructs a necessary and sufficient criterion whether a given point in space lies inside or outside the penetrable periodic structure, yielding a uniqueness result and a fast imaging algorithm. In this talk we will discuss the justification of the Factorization method as well as some numerical examples showing the efficiency of the method.
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Speaker: DinhLiem Nguyen
Institution: University of Michigan
Event Organizer: AIM Seminar Organizers millerpd@umich.edu
