Optimization approach in the design of approximate cloaking structures

In this project we will consider the problem of the construction of the approximate cloaking structure of arbitrary geometry. We reformulate this 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 [22] software package WavES (waves24.com) will be used for computations. The part of the project will be further development of this software for this special application. This will be continuation of previous work which is done in [14] and with collaboration with Chalmers Area of Advance Nanoscience and Nanotechnology.