TONG-DISSERTATION-2020.pdf (3.72 MB)
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Simulation of Localized Surface Plasmon Resonances via DNOs and IIOs

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thesis
posted on 01.08.2020, 00:00 by Xin Tong
This 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, David

Chair

Nicholls, David

Department

Mathematics, Statistics and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Degree name

PhD, Doctor of Philosophy

Committee Member

Bona, Jerry Awanou, Gerard Dai, Mimi Hickernell, Fred

Submitted date

August 2020

Thesis type

application/pdf

Language

en