Electromagnetic scattering from metamaterial and applications

In this dissertation, the study of electromagnetic wave scattering from 2D metamaterial objects are developed and presented. Two different techniques are used for the scattering problem for two different excitation methods. In the first technique a rigorous semi-analytical solution is presented for electromagnetic scattering from an array of circular parallel coated cylinders. The cylinders are illuminated by either an obliquely incident plane wave or an electric line source. The solution is based on the application of the boundary conditions on the surface of each cylinder in terms of the local coordinate system of each individual cylinder. In order to check the validity of this technique, the radar cross-section (RCS) of a single coated cylinder, a linear array of cylinders, and an arbitrary position array of cylinders is calculated and compared with available data. Furthermore, the near field is calculated to prove the validity of the boundary conditions on the surface of any cylinder. In the second techniques a 2D FDTD formulation is developed for a computational domain containing any of three materials: dielectrics, conductors, and metamaterials, or any combination of them. The domain is excited using either a local electric or magnetic current source, or an incident plane wave. The Z transform procedure is introduced to deal with the frequency dependent constitutive parameters of the medium containing the metamaterial. Finally, two different applications are presented for the developed formulations. In the first application metamaterial cylinders are used to enhance the performance of corner reflector antennas. The second application is the creation of a plane wave in the near field from an array of conducting cylinders excited by a line source.