Abstract

Based on our earlier matrix algorithms [J. Mod. Opt. 55, 105 (2008) [CrossRef]  ] for evaluating the variations of Seidel aberrations, new concise equations are derived to directly evaluate the variations of spherical aberration and central coma of conceptual thin lenses when the incident marginal and chief rays are arbitrarily changed. In the earlier algorithms, four cases with distinct translation factors and matrix equations are required according to the relationships of the object and pupil positions; otherwise, division-by-zero errors or insufficient numerical accuracy will be encountered. Conversely, the new versatile equations are always accurate for all kinds of object and pupil positions; one example verifying this property is illustrated. Another example is given to explain why a symmetrical thin lens can provide only one, rather than two, degrees of freedom for correcting Seidel aberrations.

© 2016 Optical Society of America

Unique and concise system translation matrices for evaluating optical aberration variations

Chaohsien Chen
Appl. Opt. 56(22) 6191-6200 (2017)

Practical technique for balancing the optical aberrations among conceptual thin-lens components of optical zoom lenses

Chaohsien Chen
Appl. Opt. 61(31) 9225-9232 (2022)

Conditions for having identical aberration behaviors of various thick lenses

Chaohsien Chen
Appl. Opt. 54(28) E8-E14 (2015)

General method for replacing a thin lens with a thick lens with the same value of Seidel aberration coefficient of spherical aberration or coma

Antonín Mikš and Pavel Novák
J. Opt. Soc. Am. A 38(9) 1372-1379 (2021)

Methods of solving aspheric singlets and cemented doublets with given primary aberrations

Chaohsien Chen
Appl. Opt. 53(29) H202-H212 (2014)