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In optics, the f-number (sometimes called focal ratio, f-ratio, f-stop, or relative aperture〔Smith, Warren ''Modern Lens Design'' 2005 McGraw-Hill〕) of an optical system is the ratio of the lens's focal length to the diameter of the entrance pupil.〔Smith, Warren ''Modern Optical Engineering, 4th Ed.'' 2007 McGraw-Hill Professional〕 It is a dimensionless number that is a quantitative measure of lens speed, and an important concept in photography. The number is commonly notated using a hooked f, i.e. N, where N is the f-number. == Notation == The f-number ''N'' or f# is given by: : where is the focal length, and is the diameter of the entrance pupil (''effective aperture''). It is customary to write f-numbers preceded by , which forms a mathematical expression of the entrance pupil diameter in terms of f and ''N''.〔 For example, if a lens's focal length is 10 mm and its entrance pupil diameter is 5 mm, the f-number is 2, expressed by writing "2", and the aperture diameter is equal to , where is the focal length. Ignoring differences in light transmission efficiency, a lens with a greater f-number projects darker images. The brightness of the projected image (illuminance) relative to the brightness of the scene in the lens's field of view (luminance) decreases with the square of the f-number. Doubling the f-number decreases the relative brightness by a factor of four. To maintain the same photographic exposure when doubling the f-number, the exposure time would need to be four times as long. Most lenses have an adjustable diaphragm, which changes the size of the aperture stop and thus the entrance pupil size. The entrance pupil diameter is not necessarily equal to the aperture stop diameter, because of the magnifying effect of lens elements in front of the aperture. A 100 mm focal length 4 lens has an entrance pupil diameter of 25 mm. A 200 mm focal length 4 lens has an entrance pupil diameter of 50 mm. The 200 mm lens's entrance pupil has four times the area of the 100 mm lens's entrance pupil, and thus collects four times as much light from each object in the lens's field of view. But compared to the 100 mm lens, the 200 mm lens projects an image of each object twice as high and twice as wide, covering four times the area, and so both lenses produce the same illuminance at the focal plane when imaging a scene of a given luminance. A T-stop is an f-number adjusted to account for light transmission efficiency. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「F-number」の詳細全文を読む スポンサード リンク
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