Journal ArticleDOI
The diffraction theory of optical aberrations: Part II: Diffraction pattern in the presence of small aberrations
TLDR
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.About:
This article is published in Physica D: Nonlinear Phenomena.The article was published on 1947-12-01. It has received 68 citations till now. The article focuses on the topics: Coma (optics) & Diffraction.read more
Citations
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Journal ArticleDOI
Experimental test of an analytical model of aberration in an oil-immersion objective lens used in three-dimensional light microscopy.
TL;DR: In this article, a model of the three-dimensional imaging properties of a fluorescence light microscope subject to aberration is presented, which can be used to understand and compensate for aberration introduced to a microscope system under nondesign optical conditions so that both confocal laser scanning microscopy and optical serial sectioning microscopy can be optimized.
Journal ArticleDOI
On the circle polynomials of Zernike and related orthogonal sets
A. B. Bhatia,Emil Wolf +1 more
TL;DR: In this article, the construction of polynomials in two variables, which form a complete orthogonal set for the interior of the unit circle and which are invariant in form with respect to rotations of axes about the origin of coordinates, is studied.
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Zernike polynomials: a guide
TL;DR: In this paper, a special set of orthonormal functions, namely Zernike polynomials, which are widely used in representing the aberrations of optical systems are reviewed.
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The diffraction theory of aberrations
TL;DR: In this article, a survey of the development of the subject is traced from the early researches of Airy on an aberration-free image and the advances made in recent years are discussed in detail; these mainly concern the effects of small aberrations, tolerance criteria, and the asymptotic treatment of diffraction problems.
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Analytical solution of the diffraction integrals and interpretation of wave-front distortion when light is focused through a planar interface between materials of mismatched refractive indices
TL;DR: In this article, the authors extended the treatment of the diffraction of electromagnetic waves for light focused by a high numerical aperture lens from a first medium into a second medium by means of polynomial expansion.
References
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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.
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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.
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Aberration Diffraction Effects
TL;DR: In this article, a modification of the ideal diffraction pattern produced by these geometrical aberrations is proposed, and a summary of the properties of this function is given, therefore, in Part I of the paper ; Part II deals with the Aberration-Diffraction effects.