Related Experiment Video
Updated: Jun 2, 2026

Correction of Presbyopia by Monocular Bi-Aspheric Ablation Profile
Published on: September 20, 2024
Multinodal fifth-order optical aberrations of optical systems without rotational symmetry: the astigmatic aberrations
1Optical Solutions Group, Synopsys, Inc., 3 Graywood Lane, Pittsford, New York 14534, USA. kevint@synopsys.com
Abstract:
Building on earlier work on the nodal aberration theory of third-order aberrations and a subset of fifth-order terms, this paper presents the multinodal field dependence of the family of aberrations describing the shape of the medial focal surface (the focal surface upon which the minimum RMS wavefront error is measured) and the astigmatic aberrations with respect to this surface through the fifth order. Specifically, the multinodal field dependence for W(420M) and W₄₂₂ (the field-quartic medial surface and field-quartic astigmatism) are derived and presented as well as their influence on the magnitude and nodal field dependence of the companion lower-order terms, W(220M) and W₂₂₂. This paper provides the first derivations of field-quartic aberrations presented by the author in the refereed literature.
Related Concept Videos
Focusing of Light in the Eye
Geometry of Hyperbolas
Gauss's Law: Spherical Symmetry
Gauss's Law: Cylindrical Symmetry
Properties of Enantiomers and Optical Activity
Gauss's Law: Planar Symmetry