(en) We present a multilayered invisibility cloak effective at microwave frequencies based on carbon nanotubes (CNT) and polymer foam. The structure deflects transverse magnetic (TM) waves at 6GHz to reconstruct the incoming wave front beyond an obstacle. This is achieved with the help of nested cylindrical arrangements of anisotropic conductive films and insulating foam spacers, which provide the correct gradient of effective permittivity in the radial direction.