Floquet analysis of parametric huygens' metasurfaces

An exact Floquet analysis is proposed to determine the steady-state response a uniform parametric Huygens' metasurface. Under periodic modulation of the resonant frequencies of the Lorentzian surface susceptibilities of the metasurface, the unknown scattered fields are expressed as Floquet series. Using the Floquet form of the fields in conjunction with the Generalized Sheet Transition Conditions (GSTCs), the amplitudes of the new harmonic components are then conveniently determined by solving the resulting set a linear fields equations.