Abstract

The aberrations of a slit aperture are classified in terms of Legendre polynomials instead of the usual power series. An expression is obtained for the Strehl criterion in the presence of all aberrations, provided they are small. Power-series expansions are developed for the point spread function for a single aberration. Finally, the Maréchal balancing theory is studied and shown to lead to the same aberration polynomials.

© 1965 Optical Society of America

Transfer Function of an Annular Aperture in the Presence of Spherical Aberration

Richard Barakat and Agnes Houston
J. Opt. Soc. Am. 55(5) 538-541 (1965)

Transfer Function of an Optical System in the Presence of Off-Axis Aberrations

Richard Barakat and Agnes Houston
J. Opt. Soc. Am. 55(9) 1142-1148 (1965)

Diffraction of Cylindrical Electromagnetic Waves by Ribbons and Slits

Richard Barakat
J. Opt. Soc. Am. 55(8) 992-997 (1965)

Line Spread and Edge Spread Functions in the Presence of Off-Axis Aberrations*

Richard Barakat and Agnes Houston
J. Opt. Soc. Am. 55(9) 1132-1135 (1965)

Aberration balancing in rotationally symmetric lenses*

Berge Tatian
J. Opt. Soc. Am. 64(8) 1083-1091 (1974)