The paper by Doskolovich et al. in Journal of the Optical Society of America A [1] published in June 2021 was preceded by a paper by some of the present authors in Computer Optics [2] published in May 2021. Since paper [2] contains the basic theoretical results that lay the foundation for the results presented in [1], Ref. [2] should have been included in the reference list of Ref. [1]. The present erratum corrects this oversight.

In addition, we would like to stress that, despite a certain overlap between the theoretical results of the two papers, paper [1] contains several new and important results which, we believe, significantly advance the results presented in paper [2]. In particular, in [1], we demonstrate both theoretically and numerically that the stigmatic lens designed by the proposed method not only can minimize the Fresnel losses but also can satisfy the Abbe sine condition with high accuracy. To the best of our knowledge, the design of lenses satisfying the three mentioned conditions has not been previously presented in the existing literature. As distinct from [2], we also performed a quantitative analysis of the Fresnel losses of the designed lens and compared its performance with that of a stigmatic plano-convex lens, including the case when antireflection coatings were added to the optical surfaces of the lenses.