Abstract

In our previous paper [Appl. Opt. 59, 4466 (2020) [CrossRef]  ], we presented a fundamental-ray aberration analysis that extends ray matrix analysis to the third-order aberration region. The analysis results shown in that paper were applicable to coaxial rotationally symmetric optical systems. This time, we have extended the fundamental-ray aberration analysis so that it can be applied to off-axial optical systems. Here we present new analysis formulae for fundamental-ray aberration analysis of the first-order aberration region. In addition, we newly present first-order aberration expansion formulae for four-element fundamental-ray aberrations and calculation formulae for the fundamental-ray aberration coefficients of the first order, which are necessary for this extension.

© 2021 Optical Society of America

Fundamental ray aberration analysis: extension of ray matrix analysis to the third-order region using a four-element fundamental ray vector

Kentaro Mori, Yoshio Hayasaki, and Keisuke Araki
Appl. Opt. 59(14) 4466-4477 (2020)

Fifth-order intrinsic aberration calculation method for soft x-ray and vacuum ultraviolet optical systems

Yiqing Cao and Zhijuan Shen
Appl. Opt. 60(11) 3242-3249 (2021)

Transverse ray aberrations determination in non-axially symmetrical optical imaging systems using Taylor series expansion

Psang Dain Lin
Appl. Opt. 62(15) 4000-4010 (2023)

Generalized chromatic aberrations in non-rotationally symmetric optical systems–Part I: mathematical approach

Danyun Cai and Herbert Gross
Appl. Opt. 60(21) 6313-6321 (2021)

Fifth-order aberration for soft x-ray and vacuum ultraviolet multi-element optical systems

Yiqing Cao
J. Opt. Soc. Am. A 39(1) 143-151 (2022)