An analytical design for a metasurface with polarization conversion based on the transmission-line model

In this paper, an analytical design method for reflective polarization conversion metasurface (RPCM) is proposed. Specifically, two transmission-line models corresponding to two orthogonal incident electric fields are established, and the equivalent parallel impedance of the periodic dipole array is calculated by the variational method. Thereby, the polarization conversion coefficient of the metasurface is analytically related to the geometrical parameters of the periodic dipole array. Two RPCMs with different operation frequencies are theoretically designed, whose results agree well with the software simulation. Thus, the method provides an analytical approach to synthesize the polarization conversion metasurface, greatly facilitating the design and giving insight into the physical mechanism.