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Abbe diffraction limit derivation11/20/2023 This resolution limit corresponds to a frequency cut-off of 2NA/λ, where λ is the wavelength of light and NA is the numerical aperture of the microscope objective 1. This principle opens the door to study unexplored theoretical questions and lead to new applications.Įrnst Abbe established the image formation theory in optical microscopy and derived the well-known optical resolution formula, d = λ/2NA. ![]() We show a guidepost for understanding the potential resolution and limitation of all optical microscopy. This diagrammatic methodology also allows for the optical resolution calculation of all types of microscopy. Here, we develop an intuitive technique using double-sided Feynman diagrams that depict light-matter interactions to provide a bird’s-eye view of microscopy classification. To compare the fundamental optical resolutions of all types of microscopy and to codify a unified image-formation theory, a new method that describes the influence of light-matter interactions on the resolution limit is required. The image resolution limit depends on the type of optical microscopy however, the current theoretical frameworks provide oversimplified pictures of image formation and resolution that only address individual types of microscopy and light-matter interactions. An optical system with the ability to produce images with angular resolution as good as the instrument’s theoretical limit is said to be diffraction limited.Optical resolution of far-field optical microscopy is limited by the diffraction of light, while diverse light-matter interactions are used to push the limit. However, there is a fundamental maximum to the resolution of any optical system that is due to diffraction (a wave nature of light). The resolution of an optical imaging system (e.g., a microscope, telescope, or camera) can be limited by factors such as imperfections in the lenses or misalignment. In optical imaging, there is a fundamental limit to the resolution of any optical system that is due to diffraction. Limits of Resolution and Circular Aperatures The deflection of the tip is then measured using a laser spot that is reflected from the surface of the cantilever. The mechanical probe feels the surface with a cantilever with a sharp tip.
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