Remesh-Free Shape Optimization by Transformation Optics

A remesh-free numerical method is developed for shape optimization problem by combining the transformation optics approach, the finite element method, and the genetic optimization algorithm. To overcome cumbersome remeshing processes, transformation media are designed within the elements where the contour of the object passes. A simple rectangular mesh is used and only the material parameters of the media are redefined according to the scatterer contour that is represented by B-spline curves. The proposed approach is validated through benchmark inverse electromagnetic scattering problems.