Electromagnetic Crystal with Capacitive Cylinders

Abstract

The article investigates an electromagnetic crystal in the form of metal cylinders with capacitive gaps in the nodes of a rectangular two-dimensional periodic lattice between metal screens forming a flat waveguide. Using a standard electrodynamic modeling system, the authors studied the diffraction of a plane wave at the boundary of an infinite layer for one coordinate and a finite layer for another coordinate, and determined the band structure of the electromagnetic crystal. The behavior of the pass and stop bands was studied as a function of the crystal parameters. An additional passband was discovered, the occurrence of which is associated with excitation of a higher-type wave of a plane waveguide. The effect of series resonance in a capacitive cylinder on the damping of a wave in the stop band is considered. The possibility of an approximate description of an electromagnetic crystal in the stop band is investigated. A number of models are proposed, obtained via numerical solution of the problem of oblique incidence of a plane wave on the crystal boundary.