Asymptotic Estimations for Optical Transfer Functions with Defocusing
- 1 к.ф.-м.н., науч. сотрудник, Компания АСМР Холдинг БВ (Нидерланды)
- 2 д.ф.-м.н., зав. кафедрой «Прикладная математика», МИРЭА
- 3 к.т.н., вед. науч. сотрудник, ОАО «ИНЭУМ им. И.С. Брука» (Москва)
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.
How to cite
Симонов А.Н., Самохин А.Б., Михеев О.В. Асимптотические оценки частотной передаточной функции оптической системы с дефокусировкой // Электромагнитные волны и электронные системы. 2011. № 12. С. 57–63.
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