The informational aspects of optical design have attracted increasing attention in the last few years [see for example A. Blanc-Lapierre (1953), D. Gabor (1952) ]. The closely related topic of the Fourier treatment of optical imaging has been discussed by P.-M. Dufflieux (1946) and by Elias, Grey, and Robinson (1952) among others. The present paper gives an account of analytical techniques which provide a basis for a discussion of the problem of maximizing the information content in images formed by high-quality optical systems, by means of aberration balancing under prescribed constraints on the design. A derivation is given of the principal results needed for this purpose.
E. H. LINFOOT, "Information Theory and Optical Images," J. Opt. Soc. Am. 45, 808-818 (1955)