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
Erratum: Tables of integral transforms. Vol. I, II (McGraw-Hill, New York, 1954) by A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi
Journal ArticleDOI
The Application of Frequency Response Techniques in Optics
TL;DR: In this article, a resume of the treatment of image formation from the standpoint of the theory of passive linear systems is given, it being shown that image formation for an incoherent object satisfies the basic postulates of superposition and stationarity.
Journal ArticleDOI
The diffraction theory of optical aberrations: Part II: Diffraction pattern in the presence of small aberrations
TL;DR: In this paper, the diffraction theory for arbitrary aberrations of a symmetrical optical system is developed for the case that the amount of aberration is small and the aberration function, which measures the deviation of the actual wavefront from a sphere, is expanded in a series of the so-called circle polynomials, which were introduced by Zernike in a problem closely related to the one treated here.
Journal ArticleDOI
Aberration balancing in rotationally symmetric lenses
TL;DR: In this article, the authors considered the expansion of the aberration function of a rotationally symmetric system in analytic form, with either a circular or annular pupil, in a series of orthogonal polynomials.
Journal ArticleDOI
The diffraction theory of optical aberrations: Part I: General discussion of the geometrical aberrations*)
TL;DR: In this article, the geometrical aberrations of a rotationally symmetrical optical system are dealt with in a new way, suggested by the wave-optical treatment of the image errors to be published subsequently.