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We describe a novel approach that leads to an analytical formula for shaping the power spectrum of 1-D gratings and zone plates with different opening ratios by using apodizers expressable as Legendre series. Some applications of this formulation are presented. 1.
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Jorge Ojeda-Castaneda, Pedro Andres, Manuel Martinez-Corral, "Power spectrum of gratings and zone plates apodized by Legendre profiles," Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.34722