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
The Calculation of the Wavefront Aberration Polynomial
TL;DR: In this paper, a set of orthogonal polynomials that are particularly relevant to the ray fans used in optical design and evaluation were used to generate the wavefront polynomial in the radial pupil coordinate and the cosine of the pupil azimuth angle.
Journal ArticleDOI
A unifying approach for the vectorial Rayleigh–Sommerfeld diffraction integrals
TL;DR: In this article, a unique approximation to the vectorial Rayleigh-Sommerfeld diffraction integrals (RSDI) is developed to study the diffraction properties of apertures illuminated with collimated, converging or diverging polarized waves.
Journal ArticleDOI
An Analytic Recurrence Procedure for Computing the Cross-multiplication Coefficients in an Analytic OTF Method
TL;DR: In this paper, the cross-multiplication coefficients required in an analytic method for calculating the Optical Transfer Function (OTF) were computed analytically through the use of a recurrence relation.
Posted Content
Zernike circle polynomials and infinite integrals involving the product of Bessel functions
TL;DR: Several quantities related to the Zernike circle polynomials admit an expression as an infinite integral involving the product of two or three Bessel functions, which is evaluated explicitly for the cases of the expansion coefficients of scaled-and-shifted circle polynnomials, the Fourier coefficients, and the transient response of a baffled-piston acoustical radiator.
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.