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.

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Conference 2017 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2017
Gupta, S, & Smy, T. (2017). Floquet analysis of parametric Huygens' metasurfaces. In 2017 IEEE Antennas and Propagation Society International Symposium, Proceedings (pp. 1711–1712). doi:10.1109/APUSNCURSINRSM.2017.8072898