Topology optimization

I designed an all-dielectric cloaking device at microwave frequencies. A gradient based topology optimization is employed to find a dielectric permittivity distribution that minimizes the diffracted field in free space. The layout is binary, i.e. made either of standard ABS plastic or air and is designed to reduce the scattering from an ABS cylinder excited by a line source for TE polarization. We study the performances of cloaks optimized for one, two and three frequencies in terms of scattering reduction and correlations with respect to the free space propagation case. Finally, a modal analysis is carried out providing physical insights on the resonant cloaking mechanism at stake.

Related paper

B. Vial and Y. Hao, Topology optimized all-dielectric cloak: design, performances and modal picture of the invisibility effect. Opt. Express 23, 23551-23560, 2015. DOI | download


(a) Optimized permittivity map. (b) Square norm of the scattered electric field for the cloaked case, showing very weak diffraction in free space outside the cloak. Real part of the total electric field with cloak (c) and for the bare cylinder (d).