Abstract
We present a theory of the aberrations of gratings that are recorded holographically. Stigmatic imaging at one or two wavelengths is possible with such a grating. We give a summary of the cases of stigmatism, including some newly found. The general principles of the correction of aberrations of holographic recording are described. The theory is applied to the design of Rowland, Seya-Namioka, Wadsworth, and Eagle mountings. We show that the extra freedom of design given by holographic recording can be used to obtain a simpler scanning mechanism or better correction of aberrations, or both.

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