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Optimal balance of aberrations under partially coherent illumination

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TLDR
In this article, an optimal balance of spherical aberrations under partially coherent illumination is presented, where the visibility of a two-point image as a merit function is used to estimate the image aberration.
Abstract
An optimal balance of spherical aberrations under partially coherent illumination is presented. The visibility of a two-point image as a merit function is used to estimate the image aberrations. Although the optimal balance of aberrations has been evaluated by Marechal [ Rev. Opt.2, 257 ( 1947)] and Wang [ Proc. Phys. Soc. London53, 157 ( 1941)] for incoherent illumination, it has not been treated for partially coherent illumination. In this paper, a general relationship between the optimal balance of aberrations and the degree of mutual coherence under partially coherent illumination is discussed. The result obtained for incoherent illumination turns out to be a special case of that for partially coherent illumination. In other words, the result of optimal balance of aberrations under partially coherent illumination is a general case that includes coherent, incoherent, and partially coherent illumination.

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Citations
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On the diffraction theory of optical images

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The concept of partial coherence in optics

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Aberration-variance-based formula for calculating point-spread functions: rotationally symmetric aberrations

TL;DR: By using exponential evaluations of the Strehl ratio and appropriate Dini-sampling formulas in concert, an approximate formula is derived for fast calculation of intensity distributions in the central bright core of rotationally symmetric aberrational diffraction patterns.
References
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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.
Journal Article

On the diffraction theory of optical images

TL;DR: The theory of image formation is formulated in terms of the coherence function in the object plane, the diffraction distribution function of the image-forming system and a function describing the structure of the object.
Journal ArticleDOI

On the Diffraction Theory of Optical Images

TL;DR: The theory of image formation is formulated in terms of the coherence function in the object plane, the diffraction distribution function of the image-forming system and a function describing the structure of the object.
Journal ArticleDOI

The Concept of Partial Coherence in Optics

TL;DR: In this paper, it was shown that the diameter of the area of coherence on a plane illuminated by a source of angular radius is given by d = d = 0 √ √ n √ 16 λ n N ε, where N is the refractive index of the intervening medium.
Journal ArticleDOI

The Influence of the Condenser on Microscopic Resolution

TL;DR: An expression for the distribution of light in the image of two small apertures which are illuminated by a condenser of numerical aperture equal to s times that of the imaging objective is given in this paper.
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