  This article aims at discussing computational approach to design magnet-free
nonreciprocal metamaterial. Detailed mathematical derivation on floquet mode
analysis is presented for Faraday and Kerr rotation. Non-reciprocity in the
designed metasurface is achieved in the presence of biased transistor loaded in
the gap of circular ring resonator. Based on the synthesized mathematical
model, We extract co-cross polarized components as well as Faraday and Kerr
rotation from the developed synthesized model and compare/contrast reciprocal
and nonreciprocal system.
