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https://texercises.com/exercise/un-dimanche-apres-midi-a-la-grande-jatte/
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Un dimanche après midi à la grande jatte
Georges Seurat, , 2022, scan, Wikipedia
<Wikipedia> (retrieved on March 03, 2024)
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Exercise:
In the paing Un dimanche après-midi à la Grande Jatte French artist Georges Seurat applied coloured dots with a typical distance of sO. Asing a diameter of dO for the pupil calculate the minimum distance from the paing for red dots lambdalaO to be seen as a contiguous area. How would the result be different with more light?

Solution:
The angle defined by two neighbouring dots is given by tanalpha fracsell where s is the distance between the dots and ell the distance between the observer's eye and the paing. vspacemm Using Rayleigh's criterium and the small angle approximation tanalphaapproxsinalpha we find fracsell &approx z_fraclambdad It follows for the distance to the image ell &approx lF fracstimesdztimesla l approx resultlP Under brigther conditions the pupil diameter d would be smaller and the minimum distance ell would also be smaller ellvarpropto d.
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Exercise:
In the paing Un dimanche après-midi à la Grande Jatte French artist Georges Seurat applied coloured dots with a typical distance of sO. Asing a diameter of dO for the pupil calculate the minimum distance from the paing for red dots lambdalaO to be seen as a contiguous area. How would the result be different with more light?

Solution:
The angle defined by two neighbouring dots is given by tanalpha fracsell where s is the distance between the dots and ell the distance between the observer's eye and the paing. vspacemm Using Rayleigh's criterium and the small angle approximation tanalphaapproxsinalpha we find fracsell &approx z_fraclambdad It follows for the distance to the image ell &approx lF fracstimesdztimesla l approx resultlP Under brigther conditions the pupil diameter d would be smaller and the minimum distance ell would also be smaller ellvarpropto d.
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Diffraction
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circula hole, rayleigh criterium, resolving power
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Un dimanche après midi à la grande jatte
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ENG (English)
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