title: Optical system invariant to second-order aberrations.
abstract: An approximate analytical expression is derived for the two-dimensional incoherent optical transfer function (OTF) of an imaging system invariant to second-order aberrations. The system broadband behavior resulting from a third-order phase mask in its pupil plane is analyzed by using the two-dimensional stationary phase method. This approach does not require mathematical separability of the pupil function and can be applied to any pupil shape. The OTF is found to be a well-defined and smooth function at all nonzero spatial frequencies when the phase mask function includes third-order mixed terms in the pupil coordinates.
authors.affiliation: Applied Mathematics Department, Moscow Institute of Radio Engineering, Electronics and Automatics, 78 Vernadsky Prospekt, 117454, Moscow, Russia.
authors.forename: Alexander B
authors.initials: AB
authors.lastname: Samokhin
authors.forename: Aleksey N
authors.initials: AN
authors.lastname: Simonov
authors.forename: Michiel C
authors.initials: MC
authors.lastname: Rombach