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Currently, the best performing micropolarizer array is the 2×4 pattern introduced by LeMaster and Hirakawa. In this Letter, we extend the available set of patterns with the aim of improving reconstruction quality by leveraging the Fourier domain and designing information carriers that yield optimal bandwidth. First, the family of 2×L patterns widens the optimization space of the 2×4 pattern by facilitating variable allocation of bandwidth for channels surrounding polarization and intensity carriers. Second, the 2×2×N patterns present an intriguing option for use within a hybrid spatiotemporal modulation scheme, in which the multiple temporal measurements enable maximum theoretical spatial resolution of reconstructed Stokes parameters.