Design and Simulations of Dielectric Slabs With Optimal Deformations Using Surface Integral Equations and Genetic Algorithms

We present efficient and accurate optimizations of three-dimensional dielectric slabs for desired scattering properties. Optimizations are performed by using an effective combination of genetic algorithms and the multilevel fast multi-pole algorithm. A multigrid approach with Bezier surfaces is employed to obtain superior designs that can be fabricated via 3D printers. By simultaneously optimizing top and bottom surfaces, scattering properties can be designed in accordance with the given constraints. Numerical results show that slabs with interesting scattering characteristics can be obtained via the developed optimization environment.