Abstract

Even for the simplest nontrivial aberration, defocus, and for a circular pupil, there is no theoretical closed-form expression for the optical transfer function (OTF). By using a simple approximation, we provide a simple yet accurate approximation for the OTF of a defocused system. We generalize this approach to generic quadratic aberrations, including astigmatism.

© 2017 Optical Society of America

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Supplementary Material (2)

NameDescription
Visualization 1       MTF for defocus aberration, for varying kh, which is the wavenumber associated with the optical system times the amplitude parameter of defocus. The orange dots are numerically calculated, and the black curve is the approximation.
Visualization 2       The pupil-difference probability density (PDPD) for the case of defocus aberration for varying pupil separation. The black curve is the exact PDPD and the green dashed curve is the approximation.

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Equations (37)

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