In following a suggestion of Sommerfeld, who was able to derive the paraxial properties for points on the optic axis from the existence and continuity of wave fronts satisfying the eikonal equation, it will be shown how the whole set of the third-order Seidel aberrations of a centered optical system made of refracting surfaces of revolution can be obtained if the series expansion in the radial coordinates is continued up to the fourth order.
© 2003 Optical Society of America
Original Manuscript: December 30, 2002
Revised Manuscript: March 13, 2003
Manuscript Accepted: March 13, 2003
Published: August 1, 2003
Giulio Pozzi, "Sommerfeld revisited: a new approach to the third-order Seidel aberrations," J. Opt. Soc. Am. A 20, 1600-1607 (2003)