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Fundamental-ray aberration analysis of off-axial optical systems: analytical formulae of first-order aberrations

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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

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