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Ernst Karl Abbe HonFRMS (23 January 1840 – 14 January 1905) was a German businessman, optical engineer, physicist, and social reformer. Together with Otto Schott and Carl Zeiss, he developed numerous optical instruments.
When the imaging system obeys the Abbe sine condition, the ratio of the sines of these angles equal the (lateral absolute) magnification of the system. In optics , the Abbe sine condition is a condition that must be fulfilled by a lens or other optical system in order for it to produce sharp images of off-axis as well as on-axis objects.
Memorial in Jena, Germany to Ernst Karl Abbe, who approximated the diffraction limit of a microscope as = , where d is the resolvable feature size, λ is the wavelength of light, n is the index of refraction of the medium being imaged in, and θ (depicted as α in the inscription) is the half-angle subtended by the optical objective lens (representing the numerical aperture).
Abbe Mowshowitz (born 13 November 1939, Liberty, New York) [1] is an American academic, a professor of computer science at the City College of New York and a member of the Doctoral Faculty in Computer Science at The City University of New York who works in the areas of the organization, management, and economics of information systems; social and policy implications of information technology ...
According to Abbe's theory of image formation, developed in 1873, the resolving capability of an optical component is ultimately limited by the spreading out of each image point due to diffraction. Unless the aperture of the optical component is large enough to collect all the diffracted light, the finer aspects of the image will not correspond ...
The theory posits that free association and open access to up-to-date information will lead to individuals naturally creating and sustaining social groups to co-operate for mutual benefit. Information management is a crucial aspect of why even otherwise successful groups will face compounding difficulties and perhaps fail due to problems with ...
The Arlow-Abbe condenser is a modified Abbe condenser that replaces the iris diaphragm, filter holder, lamp and lamp optics with a small OLED or LCD digital display unit. The display unit allows for digitally synthesised filters for dark-field, Rheinberg, oblique and dynamic (constantly changing) illumination under direct computer control.
A ray trace through a prism with apex angle α. Regions 0, 1, and 2 have indices of refraction, , and , and primed angles ′ indicate the ray's angle after refraction.. Ray angle deviation and dispersion through a prism can be determined by tracing a sample ray through the element and using Snell's law at each interface.