The realization of structures that do not scatter electromagnetic fields (cloaking devices) has been envisioned since the 1960s; recent advances in metamaterial research has shifted cloaking possibilities to this new field through transformation optics, creating a shell which effectively cloaks the space inside the shell by diverting EM radiation around it. The author finds such a cloak unfeasible in practice but investigates a simplified cloak design for one specific polarization of incident plane waves in an effort to improve the scattering properties of the realized cloaks. The proposed procedure attempts to characterize a planar structure, examine its realization using planar metamaterials, and then attempt to curve the metamaterials to obtain the desired geometry. The research proposes to develop this method, estimate parameters of planar multilayer periodic structures, and then estimate parameters of curved multilayer periodic structures. The main realized outcomes of the project are that the investigators proposed a four-step procedure to design metamaterial structures, investigated procedures to extract constitutive parameters of cloaks, showed design examples of structures containing different types of periodic-cell elements, and developed algorithms/programs for characterizing metamaterial structures including extensions of algorithms which calculate Green's functions of anisotropic multilayer structures.