Chromatic and spherical aberration of Fresnel-zoned diffraction gratings may be of the opposite sign and the same magnitude as for glass lenses. This peculiarity is used to improve the stigmatism of single glass lenses in polychromatic radiation. Two types of compensation gratings are studied: point holograms reconstructed out of stigmatic conditions and holograms of the aberrating wave surface itself, reconstructed in the conjugate order.
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Madjidi-Zolbanine et al. (1979) studied this question.
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