The Field of View (FOV), or Angle of View of a camera describes how much of the scene is visible from the camera, or how "wide" or "zoomed-in" the view appears, and as a consequence, how large or small objects appear in the frame. FOV is measured in degrees, horizontally and vertically. Larger FOV values indicate that more of the scene is visible and therefore objects will appear smaller, whereas smaller values mean less of the scene is visible and objects will appear larger.

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The Focal Length of a camera, usually measured in millimeters, is the distance from the film or sensor back to the optical center of the lens. There is a direct (non-linear) relationship between Focal Length and FOV. Longer Focal Lengths result in narrower FOVs, while shorter Focal Lengths result in wider FOVs. There is a direct linear relationship between Focal Length and the apparent size of the subject in the frame. For example, doubling the Focal Length will make the subject twice as large in the frame.

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Catadioptrictelescope diagram

Summary. The phrase to see the light at the end of the tunnel means to have hope that one will be finished with an arduous task soon.

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Focal Length = 50mm – Camera moved farther from subjects to make the green/yellow cylinder roughly the same size in the frame as in the previous image. Notice that the red cylinder is now much large relative to the green/yellow cylinder.

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Changing the focal length or FOV is only one way to control the size of an object in the frame ("zooming in" or "zooming out"). The other way is to actually move the camera closer or farther away from the subject. Note that these are not equivalent and will result in very different looks. While the focal length/FOV changes the size of a single object in the frame, the relative sizes of 2 objects in the scene depends ONLY on the location of the camera relative to these objects. Thus framing a scene with multiple subjects involves positioning the camera to achieve the desired blocking and relative sizes of the subjects, THEN adjusting the Focal Length to achieve the desired overall framing. In the following example, the two cylinders in the scene are the same height (10). We position the camera such that the red cylinder is approximately ½ the size of the green/yellow cylinder. We then show the effect of first making the focal length wider and of moving the camera

The relationship between Focal Length and FOV depends on the physical size of the film or sensor onto which the image is projected (Sensor Size (Film Gate)). For 35mm film cameras or so-called "full frame" digital cameras, this size is 36mm x 24mm. For such cameras, commonly used Focal Lengths are:

In most consumer cameras, the lens is centered on the imaging plane (film back or sensor). However some professional cameras include the ability to adjust the offset of the lens with respect to the sensor. This lens offset is usually referred to a shift. Shift can be used to maintain a certain perspective while changing the composition of the image, or more commonly, to correct for the natural perspective distortion that occurs when photographing a building or other large structure from the ground.

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_Focal Length = 24mm – Focal length changed, no camera movement. Notice the red cylinder still ½ the height of the green/yellow cylinder, but more of the background is exposed._

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Catadioptrictelescope advantages and disadvantages

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Image taken by rotating the camera up to capture the full height of the subjects. Notice the significant perspective distortion.

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With regard to telescopes, “catadioptric” means “due to both the reflection and refraction of light.” These instruments also are known as “compound” telescopes and are hybrids that have a mix of refractor and reflector elements in their design. German astronomer Bernhard Schmidt made the first compound telescope in 1930. The Schmidt telescope had a spherical primary mirror at the back of the telescope and a glass corrector plate in the front. The Schmidt telescope was the precursor of today’s most popular design, the Schmidt-Cassegrain telescope, or SCT. It also incorporated elements by French professor Laurent Cassegrain. In the SCT, light enters the tube through a corrector plate and then hits the primary mirror at the tube’s base, which reflects the light to a secondary mirror mounted on the corrector. The secondary reflects light through a hole in the primary mirror to the eyepiece, which sits at the back of the scope.

Image taken with camera at the same location, with same focal length, but using shift instead of rotating the camera. Notice that we no longer suffer from perspective distortion.

Focal length is the distance from the center of the lens to the image sensor (focal plane), and each lens has a different focal length.

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