Metasurfaces and metadevices are names given to materials whose electromagnetic properties are tuned to a set of desired ones by (usually) manipulating microstructures that, individually, have very different properties. However, when interacting in bulk, the net effect can be tuned to, for example, focus light or mimic non-physical negative index materials.
The recent progress in fabrication of these so-called metasurfaces and metadevices for controlling electromagnetic waves (e.g. light propagation) has been largely based on (1) single-scatterer approximations and (2) low-order finite-difference time-domain simulations of Max-well's equations. The first approach ignores the complicated multiple scattering effects, and the latter is often not very numerically accurate. In this thesis, we present several tools that are needed for a full high-order accurate simulation and design of a specific class of metasurfaces: metalenses. We first develop a multiple-scattering framework based on a boundary integral equation formulation of the problem. Then, we construct a fast multipole-accelerated multi-particle scattering algorithm for the forward simulation of the scattering of electromagnetic waves by many inclusions. Next, we derive an adjoint formulation of an optimization problem to compute an optimal configuration of inclusions. Finally, we construct various translation operators needed in order to apply adjoint operators using fast multipole methods for the Helmholtz equation in three dimensions.
|School:||New York University|
|School Location:||United States -- New York|
|Source:||DAI-B 82/2(E), Dissertation Abstracts International|
|Subjects:||Applied Mathematics, Electromagnetics|
|Keywords:||Metasurfaces, Metalens, Max-well's equations|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be