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Telephoto Lens
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22. Nzeli 2026DK
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Telephoto Lens

To photograph a distant subject large, you need a long focal length - and a long lens means a long camera. In 1891 Thomas Rudolphus Dallmeyer in London, and Adolf Miethe in Germany, independently put a negative lens behind a positive one. The pair acts like a single lens of much longer focal length, yet it is physically shorter than that focal length. That is what 'telephoto' means, and nearly every long camera lens since uses it. **No patent number is cited here**: Dallmeyer patented it in Britain, and no US patent for his design was verified, so none is claimed. **You build one on an optical bench**, measure its focal length from the size of a distant image, and let a ray-trace notebook redesign it.
Utangiye
90 minutes

Amabwiriza

1

Know your lenses

Focus a distant window onto paper with each convex lens; the lens-to-paper distance is its focal length. Pick one about 100 mm. Take a concave lens about half that (its label gives it; it will not focus alone).

Ibikoresho by'iyi ntambwe:

Ibikoresho by'ibirahure bihindutseIbikoresho by'ibirahure bihindutse1 ikirundo
Lenti yagoramye imbereLenti yagoramye imbere1 igice

Ibikoresho bikenewe:

Umurongo w'IcyumaUmurongo w'Icyuma
2

Set up the bench

Mount the convex lens in a holder at one end of the bench, pointing out of a window at something far away. Tape tracing paper to a holder as the screen.

Ibikoresho by'iyi ntambwe:

Umuzingo w'urupapuro rwo gukoporora imiterereUmuzingo w'urupapuro rwo gukoporora imiterere1 urupapuro
Isheme yo gupfundikiraIsheme yo gupfundikira1 umuzingo

Ibikoresho bikenewe:

Ameza y'ubumenyi bw'urumuri n'umurongoAmeza y'ubumenyi bw'urumuri n'umurongo
Seti y'ibifata lentileSeti y'ibifata lentile
3

Image with one lens

Slide the screen until the far scene is sharp. Measure the height of one chosen feature on the screen - a window, a chimney.

Ibikoresho bikenewe:

Umurongo w'IcyumaUmurongo w'Icyuma
4

Add the negative lens

Put the concave lens 60 mm behind the convex one. The image is now far behind; move the screen back until it is sharp again and measure the same feature. Try 55 and 65 mm spacing too.

Ibikoresho bikenewe:

Umugozi wo GupimaUmugozi wo Gupima
5

Design it on paper

Gupakira ikaye ya Jupyter…
6

History & Context

**What the 1891 designs did:** a positive front group and a negative rear group, spaced so the system focal length exceeds its length. **Modern build (derived):** two stock lenses on a bench. Early telephoto attachments screwed behind ordinary lenses; modern long lenses build the idea in. Its limits: spacing is critical, the negative group adds distortion (pincushion), and the image is dimmer at the same aperture diameter because the focal length grew.

Ibikoresho

4

Ibikoresho bikenewe

4

Blueprint zijyanye

Izi blueprint zisangira ubumenyi — uburyo, ibikoresho cyangwa amahame

CC0 Umurenge rusange

Iyi blueprint yasohowe munsi ya CC0. Ushobora gukoporora, guhindura, gukwirakwiza no gukoresha nta kwemererwa.

Shyigikira Umuremyi ugura ibicuruzwa binyuze muri Blueprint ye Komisiyo y'Umuremyi byashyizweho n'Abacuruzi, cyangwa kora verisiyo nshya y'iyi Blueprint ukayinjiza nk'isano muri Blueprint yawe kugira ngo musangire inyungu.

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