Optimal discretization for multi-layered media

Publications : [14]

Funding :

with S. Chaillat, E. Cortes, C. Tsogka

Optical cloaking refers to light propagating in heterogeneous media whereas measurements do not detect heterogeneities, in other words there is no light scattering. One main motivation is to be able to cloak objects by using layers of different materials around the cloaked object.

We proposed a boundary integral equation framework to model the solution in 2D concentric multi-layered transmission problem. The approach addresses the close evaluation problem when the layers are thin (effect of nearly singular integrals), and investigates how to discretize the boundaries without over-refining. Using automatic mesh method, we show that the exterior medium has significant impact on the whole discretization, and the higher wavenumber is not dictating the full discretization.