Fano resonance and metamaterial cells equivalent circuits

simulation of various kinds of physical oscillatory and wave processes using equivalent electrical circuits was used as early as the 19th century. In some cases, it contributes to a deeper understanding of the essence of the processes and an adequate assessment of the experimental results. That is why lattice electrical circuits are effective as models of Fano resonance and metamaterial cells. In particular, they let us give a simple explanation of the seemingly exotic properties of metamaterial cells, such as "superquality", "counter-directionality" of group and phase velocities. A new equivalent electrical circuit of the Helmholtz resonator was also proposed.