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Mbitrarily high focal depth can be synthesized by using zone plates which have an arbitrary number of foci provided that the axial impulse responses are below the limit of the resolution. 1.
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Jorge Ojeda-Castaneda, A. Diaz, "Zone plates for arbitrarily high focal depth," Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.34733