Abstract
When using freeform surfaces in optical design, the field dependence of
the aberrations can become quite complex, and understanding these
aberrations facilitates the design process. Here we calculate the
field dependence of low-order Zernike astigmatism (Z5/6) up to the
eighth order in nodal aberration theory (NAT). Expansion of NAT
astigmatism terms to the eighth order facilitates a more accurate fit
to the Zernike astigmatism data. We then show how this estimated field
dependence can be used to quantitatively analyze a freeform telescope
design. This analysis tool adds to the optical designer’s arsenal when
up against the challenge of designing with freeform
optics.
© 2019 Optical Society of
America
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