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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 ...
For example, with a magnification ratio of 1:2, we find = and thus the angle of view is reduced by 33% compared to focusing on a distant object with the same lens. Angle of view can also be determined using FOV tables or paper or software lens calculators.
The maximum angular magnification (compared to the naked eye) of a magnifying glass depends on how the glass and the object are held, relative to the eye. If the lens is held at a distance from the object such that its front focal point is on the object being viewed, the relaxed eye (focused to infinity) can view the image with angular ...
The image sensor format of a digital camera determines the angle of view of a particular lens when used with a particular sensor. Because the image sensors in many digital cameras are smaller than the 24 mm × 36 mm image area of full-frame 35 mm cameras, a lens of a given focal length gives a narrower field of view in such cameras.
The field of view requires the magnification, which is formulated by its division over the apparent field of view: = = =. The resulting true field of view is 0.64°, not allowing an object such as the Orion nebula , which appears elliptical with an angular diameter of 65 × 60 arcminutes , to be viewable through the telescope in its entirety ...
The eye of an eyeglass wearer is typically further from the eyepiece, so that user needs a longer eye relief in order to still see the entire field of view. A simple practical test as to whether or not spectacles limit the field of view can be conducted by viewing first without spectacles and then again with them. Ideally there should be no ...
At this magnification, the field of view is relatively wide, making it easier to locate and follow distant objects. For viewing at longer distances, 10× or 12× is preferable if the user is able to hold the monocular steady. However, increasing magnification will compromise the field of view and the relative brightness of the object.
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).