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The common 1" outside diameter circular video camera tubes have a rectangular photo sensitive area about 16 mm on the diagonal, so a digital sensor with a 16 mm diagonal size is a 1" video tube equivalent. The name of a 1" digital sensor should more accurately be read as "one inch video camera tube equivalent" sensor.
Angular field of view is typically specified in degrees, while linear field of view is a ratio of lengths. For example, binoculars with a 5.8 degree (angular) field of view might be advertised as having a (linear) field of view of 102 mm per meter. As long as the FOV is less than about 10 degrees or so, the following approximation formulas ...
In 1916, Northey showed how to calculate the angle of view using ordinary carpenter's tools. [2] The angle that he labels as the angle of view is the half-angle or "the angle that a straight line would take from the extreme outside of the field of view to the center of the lens;" he notes that manufacturers of lenses use twice this angle.
35 mm equivalent focal lengths are calculated by multiplying the actual focal length of the lens by the crop factor of the sensor. Typical crop factors are 1.26× – 1.29× for Canon (1.35× for Sigma "H") APS-H format, 1.5× for Nikon APS-C ("DX") format (also used by Sony, Pentax, Fuji, Samsung and others), 1.6× for Canon APS-C format, 2× for Micro Four Thirds format, 2.7× for 1-inch ...
A 50 mm (focal length) lens on an APS-C image sensor format (crop factor 1.6) images a slightly smaller field of view than a 70 mm lens on a 35 mm sensor format camera (full frame sensor). A 80 mm lens (1.6 × 50 mm = 80 mm) with a full frame camera gives the same field of view as this 50 mm lens and APS-C sensor format combination produces.
The resulting image however will have a different field of view. If the focal length is altered to maintain the field of view, while holding the f-number constant, the change in focal length will counter the decrease of DOF from the smaller sensor and increase the depth of field (also by the crop factor).
In the edit of 4 Aug. 2023, some information was moved from Angle of view (photography) to Field of view, among it a section on perceived size. The latter, unfortunately, is ill-conceived, transporting the popular myth that angular size determines perceived size. It is further unrelated to the FoV since the latter refers to the overall size ...
The f-number N is given by: = where f is the focal length, and D is the diameter of the entrance pupil (effective aperture).It is customary to write f-numbers preceded by "f /", which forms a mathematical expression of the entrance pupil's diameter in terms of f and N. [1]