Computational design of nanophotonic structures using an adaptive finite element method
This work provides a computational tool for designing nanophotonic structures with arbitrary geometry, but the results are preliminary and limited to 2D.
The authors reformulate the design of nanophotonic structures as an optimization problem solved with adaptive mesh refinement, demonstrating the method's efficiency on 2D examples.
We consider the problem of the construction of the nanophotonic structures of arbitrary geometry with prescribed desired properties. 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. We illustrate efficiency of our adaptive optimization algorithm on the construction of nanophotonic structure in two dimensions.