TONG-DISSERTATION-2020.pdf (3.72 MB)
Download fileSimulation of Localized Surface Plasmon Resonances via DNOs and IIOs
thesis
posted on 2020-08-01, 00:00 authored by Xin TongThis thesis focuses on simulating scattering returns of electromagnetic radiation from bounded obstacles and the Localized Surface Plasmon Resonances. We present High–Order Perturbation of Surfaces algorithms for the simulation of such configurations, formulated with Dirichlet-Neumann Operators and Impedance–Impedance Operators. With an implementation of these approaches we demonstrate the stable, robust, and highly accurate properties of our algorithms. We also demonstrate the validity and utility of our approaches with a sequence of numerical experiments. Moreover, we show how our formulation delivers a straightforward proof of existence, uniqueness, and analyticity of solutions.
History
Advisor
Nicholls, DavidChair
Nicholls, DavidDepartment
Mathematics, Statistics and Computer ScienceDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Degree name
PhD, Doctor of PhilosophyCommittee Member
Bona, Jerry Awanou, Gerard Dai, Mimi Hickernell, FredSubmitted date
August 2020Thesis type
application/pdfLanguage
- en