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Telephoto Lens
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Penny

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Penny

22. septiembre 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.
Principiante
90 minutes

Instrucciones

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).

Materiales para este paso:

Juego de lentes convergentesJuego de lentes convergentes1 juego
Lente cóncavaLente cóncava1 pieza

Herramientas necesarias:

Regla de aceroRegla de acero
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.

Materiales para este paso:

Rollo de papel de calco para patronesRollo de papel de calco para patrones1 hoja
Cinta de carroceroCinta de carrocero1 rollo

Herramientas necesarias:

Banco y raíl ópticoBanco y raíl óptico
Juego de portalentesJuego de portalentes
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.

Herramientas necesarias:

Regla de aceroRegla de acero
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.

Herramientas necesarias:

Cinta métricaCinta métrica
5

Design it on paper

Cargando el cuaderno de 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.

Materiales

4

Herramientas requeridas

4

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