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Propagation of the blackbody radiation in a periodic metamaterial

One of the problems of energy harvesting with nanoantennas is a limited coherence length of solar or any other greybody radiation. In our previous paper on the subject, we proposed using Talbot effect to enhance, potentially indefinitely, the coherence length of blackbody radiation. Current paper extends this result by providing a theory, which takes into account a finite aperture of incipient beam. In this context we must mention that for monochromatic laser beam, the transmission through a correctly placed second grating completely restores coherence, smeared by the first grating. Because of an extended spectral range of blackbody radiation, complete reconstruction of an image obtained by metamaterial propagation is not possible and additional structures appear in a beam. We try to demonstrate extra features of blackbody radiation, which appear on propagation through the periodic structures located at average Talbot distance for the emission spectrum of the source.