Simulation of Waveguides in Electromagnetic Crystal with Lumped Elements

Eigenmodes of waveguide EBG channels in an electromagnetic crystal that represents a 2D periodic array of metal cylinders with gaps containing lumped elements (LEs) are studied. The array of cylinders with LEs is installed between the screens of a planar waveguide. Control of propagation characteristics of the fundamental mode using variations in the LE capacitance in the cylinders inside the waveguide channel is analyzed. The problem of eigenmodes is solved with the aid of numerical simulation using periodic boundary conditions. A parametric analysis of the central frequency and the band of the single-mode regime is performed for two- and three-row EBG waveguides. It is shown that the highest (with respect to width) odd mode is the dominant factor that limits the working bandwidth.