We recently defined a new formalism for engineering spatial information channels for focal plane filter arrays (FPFAs) in a general way for any physical light property measured via irradiance including spectral bands, polarimetric bands, and general coherence. The formalism encompasses color filter arrays, micropolarizer arrays, and microantenna arrays over a pixelated irradiance sensor. The formalism derives the physical channels available from the parameters of the unit cell used to tile the focal plane array: the unit cell geometry, the filter transmission functions, the number of unit cells, and the unit cell filter weights. We also recently showed that switching the polarization measuring properties in time over a fixed micropolarizer array would perform well compared with snapshot systems, even given increased noise due to doubling the temporal framerate. We present preliminary results on the extension of our FPFA framework to include temporal effects. Instead of a 2D unit cell which completely defines the system channels, a 3D unit cell consisting of 3D attenuation functions on a 3D rectangular lattice in (x,y,t) is defined, and specific examples are shown for micropolarizer array systems with a ferroelectric variable retarder; and a color filter array system utilizing tunable etalons for color filter modulation.
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