Optimization of multilayered nanotubes for maximal scattering cancellation

An optimization for multilayered nanotubes that minimizes the scattering efficiency for a given polarization is derived. The cylindrical nanocavities have a radially periodic distribution, and the marginal layers that play a crucial role particularly in the presence of nonlocalities are disposed to reduce the scattering efficiency up to two orders of magnitude in comparison with previous proposals. The predominant causes leading to such invisibility effect are critically discussed. A transfer-matrix formalism is additionally developed for the fast estimation of the scattering efficiency of the nanostructures.