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Published on: January 28, 2019
Asymptotic behavior of the spatial frequency response of an optical system with defocus and spherical aberration
Aleksey N Simonov1, Michiel C Rombach
1A.V. Schendelplein 137, 2624CV Delft, The Netherlands. A.N.Simonov@gmail.com
Abstract:
Asymptotic expressions are derived for the two-dimensional incoherent optical transfer function (OTF) of an optical system with defocus and spherical aberration. The two-dimensional stationary phase method is used to evaluate the aberrated OTF at large and moderately large defocus and spherical aberration. For small aberrations, the OTF is approximated by a power series in the aberration coefficients. An accurate approximation (in elementary functions) to the OTF is obtained for a defocused optical system with a circular pupil. We experimentally demonstrate the validity of the OTF approximations in sharp-focus image restoration from two defocused images. A digital focusing method is presented.
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