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Calculation of diffraction limit

The Abbe diffraction limit for a microscope

The observation of sub-wavelength structures with microscopes is difficult because of the Abbe diffraction limit. Ernst Abbe first mentioned the diffraction limit in his 1873 paper, page 466: ,,[...] die physikalische Unterscheidungsgrenze [...] hängt allein vom Oeffnungswinkel ab und ist dem Sinus seines halben Betrages proportional", or "[...] the physical limit of resolution [...] depends

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