University of Illinois at Chicago
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A Nonlinear Least Squares Framework for Periodic Grating Identification with a HOPS Implementation

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posted on 2018-11-27, 00:00 authored by Matthew C Kaplan
This thesis focuses upon the scattering of time-harmonic plane waves by a periodic interface. In particular, we consider an inverse problem which involves reconstruction of the interface when provided with measured scattered field quantities along an artificially imposed "transparent" boundary layer close to the interface. Appealing to a High-Order Perturbation of Surfaces methodology coupled with a Nonlinear Least Squares framework, we numerically simulate the scattered field at the "transparent" boundary using the former and ultimately reconstruct the interface using the latter. We furnish numerical results which compare favorably to alternative methodologies employed to solve related inverse problems, and demonstrate the efficiency and accuracy of our numerical schemes.

History

Advisor

Nicholls, David

Chair

Nicholls, David

Department

Mathematics, Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

  • Doctoral

Committee Member

Cheskidov, Alexey Sparber, Christof Verschelde, Jan Min, Misun

Submitted date

August 2018

Issue date

2018-08-01

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