In this project we will consider the problem of the construction of the approximate cloaking structure of arbitrary geometry. The goal is to develop a new optimization algorithm that can construct arbitrary nanophotonic structures from desired scattering parameters. Nanophotonics is the study of the interaction of electromagnetic waves with structures that have feature sizes equal or smaller than the wavelength of the waves. We reformulate the problem as an optimization problem for the Tikhonov functional which is minimized on adaptively locally refined meshes. These meshes are refined only in places where the nanophotonic structure should be designed. Our special symmetric mesh refinement procedure allows the construction of different nanophotonic structures. The existing C++/PETSc software package WavES (waves24.com) will be used for computations. The project will be a further development of this software for our special application, and will be a continuation of previous work done in  and with collaboration with Chalmers Area of Advance Nanoscience and Nanotechnology.
See here for a more detailed description of the project.
Obs! För GU-studenter räknas projektet som ett projekt i Tillämpad Matematik (MMG900/MMG920).
 L. Beilina, E. Smolkin, Computational design of acoustic materials using an adaptive optimization algorithm, arxiv: 1701.06006, 2017.