How do I calculate focusing distance and magnification with a supplementary close-up lens?
Asked 1/7/2015
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If I attach a +1, +2, +4, or +10 close-up lens (macro filter) to the front of a normal lens, how can I estimate:
- the new focusing distance range,
- the magnification I can get, and
- the size of subject that will fill the frame at the closest focus?
I’m looking for the basic way to calculate the effect of a supplementary close-up lens compared with using the lens by itself.
Originally by Photography Stack Exchange contributor. Source · Licensed CC BY-SA 4.0
Photography Stack Exchange contributor
11y ago
2 Answers
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It is really rather simple. The diopter value will tell you how close you must be to the subject of your photograph, the farthest distance you can get a sharp image with the close-up lens on. you divide one metre by the diopter value to get the distance, which is the focal distance of the close-up lens.
Hence a +1 lens will give a far distance of 1 m and the +2 lens will give a far distance of ½ m the +4 lens will provide a far distance of 25 cm (¼ m) and finally the +10 lens will have a far distance of 10 cm
All those distances are measured from the attached lens.
The closest distance is a trickier subject. It depends on how close your original lens will focus and how far it extends from the sensor. If you measure the distance from its front end at its closest focusing distance and divide one metre by this distance, you get a diopter value that corresponds to the focusing range of the lens.
If you have one of the more common kit zoom lenses, it might be 18-55 mm and focus down to about 30 cm from the sensor. The front end of the lens is about 20 cm from the subject when it is at its closest, which corresponds to about five diopters or perhaps somewhat less. Hence adding one or two diopters won't make much difference on its closest distance, mostly it will just degrade image quality.
Only the ten diopters lens will provide a substantial advantage regarding image size and close distance, but at the price of severely degraded performance, as simple lenses like this are rife with lens aberrations, as colour aberration, coma and distortion. The result is that you cannot take a sharp picture at all with the ten diopters lens attached.
Looking at it from a brighter side, you might have a tele lens or a tele zoom lens, which focuses only down to about one metre. Adding a one diopter lens will take you to distances between one metre and a half metre and two diopters will give you even closer range, without sacrificing so much image quality as with the ten diopters lens. The one diopter and two diopters lenses can be very useful with a tele zoom. The one diopter will double the reproduction scale if your lens otherwise focuses only to one metre. And the two diopters lens will more than triple it.
It should be remembered that you can never focus to a larger distance than the focal length of the attached close-up lens, so with one diopter it is one metre from the lens and with two diopters it is 50 cm from the lens. Farther distances are not possible.
For higher diopter values than 2 you would need an achromatic close-up lens to get sharp images. Those are more expensive than simple lenses, but perform much better. With a tele zoom and an achromatic close-up lens, you may achieve performance much like a real macro lens when you take pictures of natural objects, where straight lines and curvature of field are not important. However, it is not suitable for reproduction of flat or rectilinear objects, as it will still give distortion and curvature of field, and it will have some coma error as well. The only correction of an achromatic close-up lens is colour correction, which makes images sharper with less fringing toward the edges of the image.
Originally by user42982. Source · Licensed CC BY-SA 4.0
user42982
10y ago
0
Generated from our catalog & community — verify before relying on it.
A close-up lens is rated in diopters, and diopter is simply the reciprocal of focal length in meters:
D = 1 / f(m)
So the close-up lens alone sets the farthest focus distance to about:
focus distance ≈ 1 / D
Examples:
- +1 → 1 m
- +2 → 0.5 m
- +4 → 0.25 m
- +10 → 0.1 m
These distances are measured from the added lens at the front.
For a camera lens with a supplementary close-up lens attached, powers add approximately in diopters. For example, a 50mm lens is 1/0.05 = 20 diopters; adding a +2 lens gives about 22 diopters total.
In practice, the useful focus range shifts to close distances near the close-up lens’s focal distance, while the exact nearest distance depends on the base lens’s own focusing range and physical extension. So the exact maximum magnification and subject size filling the frame cannot be determined from the diopter alone; they depend on the main lens and how close it already focuses.
Rule of thumb: higher diopter = closer working distance and greater magnification, but less focusing range.
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