350 rub
Journal Electromagnetic Waves and Electronic Systems №12 for 2011 г.
Article in number:
Asymptotic Estimations for Optical Transfer Functions with Defocusing
Keywords: optical transfer function defocusing two-dimensional stationary phase method
Authors:
A.N. Simonov, A.B. Samokhin, O.V. Mikheev
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. Clearly the defocus aberration is of major interest because of its high potential for technical and consumer imaging applications. We propose a two-dimensional generalization of the methods developed for approximating the OTF of a one-dimensional fixed-focus optical system with an encoding phase mask. The analysis is based on the two-dimensional stationary phase method and does not require separability of the pupil function. An approximate expression for the OTF of the imaging system invariant to second-order aberrations resulting from a third-order phase mask is obtained explicitly. The OTF is found to be a well-defined and smooth function at all non-zero spatial frequencies when the phase mask function includes third-order mixed terms in the pupil coordinates. To the best of our knowledge, this is the first study of the two-dimensional OTF asymptotics which does not require additional simplifications and assumptions about the pupil function and the pupil shape.
Pages: 57-63
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