Journal ArticleDOI
A New 'Analytic' Method for Computing the Optical Transfer Function
Eric C. Kintner,R.M. Sillitto +1 more
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Using a series expansion in Zernike polynomials to express the pupil function of an optical system, a means for computing the Optical Transfer Function has been found which avoids explicit numerica as discussed by the authors.Abstract:
Using a series expansion in Zernike polynomials to express the pupil function of an optical system, a means for computing the Optical Transfer Function has been found which avoids explicit numerica...read more
Citations
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Journal ArticleDOI
Zernike annular polynomials for imaging systems with annular pupils
TL;DR: The Zernike annular polynomials as mentioned in this paper describe how a higher order classical aberration of a power-series expansion is balanced with one or more lower-order classical aberrations to minimize its variance.
Journal ArticleDOI
The circle polynomials of Zernike and their application in optics
TL;DR: The Zernike polynomials as discussed by the authors are orthogonal functions defined on the unit circle, which have been used primarily in the diffraction theory of optical aberrations.
Journal ArticleDOI
Absolute sphericity measurement
TL;DR: Several conventional methods for absolute sphericity testing of optical surfaces are reviewed and assessed for suitability in real time interferometry and a special subsequent digital spatial filtering technique for diminution of noise is described.
Book ChapterDOI
Assessment of optical systems by means of point-spread functions
TL;DR: In this paper, the authors presented the computation of the point-spread function of optical imaging systems and the characterization of these systems by means of the measured three-dimensional structure of the PFF, which is a nonlinear function of the basic electromagnetic field components in the focal region.
Journal ArticleDOI
New analytic results for the Zernike circle polynomials from a basic result in the Nijboer-Zernike diffraction theory
TL;DR: In this paper, the expansion coefficients of scaled-and-shifted circle polynomials and the Fourier coefficients of the correlation of two circles are identified and evaluated explicitly.
References
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Journal ArticleDOI
The Calculation of the Optical Transfer Function
TL;DR: In previous OTF computer programs, various geometrical optical aspects of image formation appear often to have been ignored, leading to considerable errors in the computed values of the transfer function, particularly for high-aperture or wide-angle systems.
Journal ArticleDOI
The diffraction theory of optical aberrations : Part III: General formulae for small aberrations; experimental verification of the theoretical results
K Nienhuis,B.R.A Nijboer +1 more
TL;DR: In this paper, the intensity distribution in the diffraction pattern received in a suitably chosen focal plane may be calculated while single third order aberrations are present of such an amount that the maximum deviation of the wavefront from a spherical wave is of the order of λ or less.