Abstract
Owing to their four supplementary geometric parameters, holographic gratings make possible a better aberration-correction than corrections allowed by ruled gratings with equally-spaced grooves. Therefore, astigmatism and coma are generally well mastered. High spectral resolution requires corrected spherical aberration. In order to obtain such corrections over a large spectral range, supplementary parameters can be found by deformations, up to the fourth degree included, whether of the spherical blank, or of the laser waves. This is illustrating in two ways-applied to an exotic and to the classical Rowland mountings-and showing that their combination provides a decisive image-quality improvement.

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