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This paper presents the combination of aperture field estimation (AFE)technique and adiabatic Floquet-wave (AFW) expansion method for the analysis ofleaky-wave holograms capable of generating orbital angular momentum (OAM)vortex waves. In these formulations the propagation and leakage constants aretheoretically estimated and as a result the aperture field and far-zone fieldare calculated. This theoretical approach significantly reduces thecomputational complexity in such a way that the analysis of holograms withlarge dimensions is possible with low memory requirements. Isotropic andanisotropic unit cells are used to realize the holograms, which anisotropicstructures show better performance in the control of wave polarization. Theholograms are designed to generate vortex beams with topological charge of m=2and circular polarization states in the microwave regime. To evaluate theaccuracy of the proposed method, the results of theoretical model and full-wavesimulations are compared, with good agreement.

Adiabatic Floquet-Wave Expansion for the Analysis of Leaky-Wave Holograms Generating Polarized Vortex Beams