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
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Posted Content
Third Order Newton's Method for Zernike Polynomial Zeros
TL;DR: In this article, the roots of Zernike radial polynomials are calculated using the generic iterative numerical Newton's Method that iterates on zeros of functions with third order convergence.
Journal ArticleDOI
Walsh Functions in Lens Optimization: II. Evaluation of the Diffraction-based OTF for On-axis Imagery
P. K. Purkait,L. N. Hazra,M. De +2 more
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The Structure of Fraunhofer Diffraction Patterns of Apertures with N-fold Rotational Symmetry
TL;DR: In this paper, it was shown that the innermost part of the Fraunhofer diffraction pattern of any real aperture with higher than two-fold rotational symmetry is rotationally invariant.
OtherDOI
V. S. Ignatowsky: Diffraction by a Lens of Arbitrary Aperture
Joseph Braat,Peter Török +1 more
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Defocus optical transfer function: fast evaluation and lightweight storage based on cubic spline interpolation.
TL;DR: To efficiently compute the defocus OTF of a linear isoplanatic imaging system in incoherent illumination with a given accuracy on a fine grid, using cubic spline interpolation is suggested.
References
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Book
Principles of Optics
TL;DR: In this paper, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Principles of Optics
TL;DR: In this article, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Book
A treatise on the theory of Bessel functions
TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.
Journal ArticleDOI
Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode
TL;DR: In this paper, ausammenfassung auf Grundlage der A b b eschen Beugungstheorie der optischen Abbildung wird das Aussehen eines Hohlspiegels mit willkurlich verlaufenden kleinen Abweichungen beim Foucaul tschen Schneidenverfahren and beim neuen Phasenkontrastverfhren berechnet.