KAPLAN-DISSERTATION-2018.pdf (512.75 kB)
A Nonlinear Least Squares Framework for Periodic Grating Identification with a HOPS Implementation
thesis
posted on 2018-11-27, 00:00 authored by Matthew C KaplanThis 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, DavidChair
Nicholls, DavidDepartment
Mathematics, Statistics, and Computer ScienceDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Committee Member
Cheskidov, Alexey Sparber, Christof Verschelde, Jan Min, MisunSubmitted date
August 2018Issue date
2018-08-01Usage metrics
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