Eigenanalysis of arbitrarily shaped 2-D and 3-D closed and open-radiating structures: A review

A review of our research effort on the eigenanalysis of open-radiating and closed, straight as well as curved, also including sections of periodic structures is presented herein. The elaborated geometries are arbitrary shaped and loaded in general with inhomogeneous and/or anisotropic media. Our previous work was focused on two dimensional (2-D) waveguiding structures and particularly on open-radiating waveguides including leaky wave phenomena, as well as curved geometries in the transverse and possibly curved along the propagation direction. Currently, we are working toward two directions, first to extend the methodologies to the eigenanalysis of three-dimensional structures (open or closed cavities and antennas) and second to establish an eigenanalysis tool for periodic structures.