Seminar Event Detail


Applied Interdisciplinary Mathematics (AIM)

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 time-harmonic 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 light-emitting diodes. The shape reconstruction problem under consideration, motivated by applications of non-destructive 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:  Dinh-Liem Nguyen
Institution:  University of Michigan

Event Organizer:   AIM Seminar Organizers    millerpd@umich.edu

 

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