I show that the research reported by Arieli et al. [Appl. Opt. 36, 9129 (1997)] has two serious mistakes: One is that an important factor is lost in the formula used in that study to determine the x-direction coordinate transformation; the other is the conclusion that the geometrical-transformation approach given by Arieli et al. can provide a smooth phase distribution. A potential research direction for obtaining a smooth phase distribution for a generic two-dimensional beam-shaping problem is stated.
© 1998 Optical Society of America
Qing Cao, "Geometrical-Transformation Approach to Optical Two-Dimensional Beam Shaping: Comment," Appl. Opt. 37, 8224-8225 (1998)