Journal ArticleDOI
A New 'Analytic' Method for Computing the Optical Transfer Function
Eric C. Kintner,R.M. Sillitto +1 more
TLDR
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
Advanced analytic treatment and efficient computation of the diffraction integrals in the extended Nijboer-Zernike theory
S van Haver,Ajem Guido Janssen +1 more
TL;DR: In this paper, a review of the computational methods for the diffraction integrals that occur in the Extended Nijboer-Zernike (ENZ-) approach to circular, aberrated, defocused optical systems are reviewed and updated.
Journal ArticleDOI
Far-field diffraction properties of radial Walsh filters
Lakshminarayan Hazra,A. Guha +1 more
TL;DR: In this paper, a set of orthogonal radial filters for the pupil of an imaging system is presented, with analytical expressions for members of the set and their Hankel transforms of order zero.
Journal ArticleDOI
Optimum balanced wave-front aberrations for radially symmetric amplitude distributions: Generalizations of Zernike polynomials
TL;DR: In this paper, the Zernike aberration theory for constant amplitude circular apertures is extended to annular anpertures having a Gaussian-like radial taper, and explicit expressions for the optimum balanced wave-front aberrations in terms of shifted Jacobi polynomials are obtained.
Journal ArticleDOI
Relating wavefront error, apodization, and the optical transfer function: on-axis case
TL;DR: A linear expansion of the incoherent optical transfer function is developed in which the expansion coefficients are related to the wavefront error and apodization coefficients.
Journal ArticleDOI
The Rapid Calculation of the Optical Transfer Function for On-axis Systems Using the Orthogonal Properties of Tchebycheff Polynomials
TL;DR: In this paper, a simple and rapid numerical quadrature is developed for the evaluation of the diffraction-based optical transfer function for on-axis systems, using a Tchebycheff polynomial expansion of the pupil function.
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.