Where is focal length measured in a multi-element camera lens?
Asked 8/24/2012
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A lens might be labeled, for example, 50mm f/1.8, but modern camera lenses contain multiple elements rather than a single simple lens. In a ray diagram, where does that 50mm focal length actually get measured from? Is there a single physical point inside the lens, or does it vary with the lens design and focus distance?
Originally by Photography Stack Exchange contributor. Source · Licensed CC BY-SA 4.0
Photography Stack Exchange contributor
14y ago
2 Answers
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You cannot find answer because there is not one. It depends on the exact formula and shape of lens elements and their position at the set focus distance. Note that most lenses are specified for focus at infinity, so the 50mmm F/1.8 may not be 50mm at other distances.
From your question, I guess you already know that it would be easy if your lens was a single-element lens. With a complex 50mm lens, there is may not be an exact 50mm distance. You could check where it forms the image manually by shining a light through the lens elements and finding where is is most focused.
Originally by user1620. Source · Licensed CC BY-SA 4.0
user1620
13y ago
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For a complex photographic lens, the 50mm is not usually measured from any obvious physical glass surface. In a simple thin-lens ray diagram, focal length is the distance from the lens to the focal point, but real camera lenses have multiple elements, so there may be no single physical spot you can point to and say “the 50mm starts here.”
In practice, focal length depends on the overall optical design, and for interchangeable camera lenses it is typically specified at focus toward infinity. It can also change somewhat with focus distance, so a lens labeled 50mm may not behave as exactly 50mm when focused close.
So in a ray diagram of a real multi-element lens, you would usually model the whole optical system using its effective principal plane(s), not measure from a particular element. If you tried to check it physically, you could project light through the lens and find where it comes to focus, but that still would not identify a single universal internal “50mm mark.”
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