A radio frequency patch antenna having a radiator patch constructed of an anisotropic material, such as carbon nanotube sheet material. Such material is flexible so that the antenna may be wearable and/or integrated into a textile substrate. A feed line couples the radio signal to the patch. Furthermore, the efficiency of radiation from the patch is directly related to the orientation of the fibers or carbon nanotubes in the anisotropic material relative to the orientation of the feed line. Dual polarized radiators can be constructed from two orthogonal layers of CNT patches fed with correspondingly orthogonal feed lines.