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Cooke Triplet Lens
Pixel

Creado por

Pixel

22. septiembre 2026FI
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Cooke Triplet Lens

Nineteenth-century lens makers flattened the image with a stop placed in front of or behind the lens, at the cost of astigmatism at the edges. Harold Dennis Taylor, optical manager at T. Cooke & Sons of York, dropped that trick entirely. He showed that a negative lens images a flat object onto a surface curved exactly as much as a positive lens of equal power, but the other way - so one can cancel the other. **US 540,122**, "Lens", Taylor, filed 5. February 1894, granted 28. May 1895, puts "a negative lens … between two positive lenses, the focal power of the negative lens being approximately equal to the combined focal powers of the two positive lenses". Three separated elements: the Cooke triplet, still the simplest well-corrected camera lens. **You build one from stock lenses**, and compare how flat its image is with a single lens.
Intermedio
2 hours

Instrucciones

1

Choose three lenses

Two convex lenses of about 100 mm focal length (check each on a distant window) and one concave of about -50 mm. Powers: +10 and +10 dioptres against -20.

Materiales para este paso:

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

Herramientas necesarias:

Regla de aceroRegla de acero
2

Mount the triplet

On the bench: convex, 20 mm gap, concave, 20 mm gap, convex. Centre all three on the same height.

Herramientas necesarias:

Banco y raíl ópticoBanco y raíl óptico
Juego de portalentesJuego de portalentes
3

Light a grid

Tape graph paper to a window or light it from behind with a torch, 1.5 m from the lens. Put a tracing-paper screen behind the triplet and focus the centre of the grid sharply.

Materiales para este paso:

Papel milimetradoPapel milimetrado1 hoja
Rollo de papel de calco para patronesRollo de papel de calco para patrones1 hoja
Cinta de carroceroCinta de carrocero1 rollo

Herramientas necesarias:

Linterna LED de inspecciónLinterna LED de inspección
Cinta métricaCinta métrica
4

Measure the edge refocus

Without touching the lenses, move the screen until the grid 15 mm from the image centre is sharpest. Note how far it moved. Replace the triplet with one convex lens, refocus the centre, and measure the refocus again at the same 15 mm image height.

Herramientas necesarias:

Regla de aceroRegla de acero
5

Petzval sum and design

Cargando el cuaderno de Jupyter…
6

History & Context

**What the patent specifies:** a negative lens between two positive lenses, its power about equal to theirs combined, each element free of diaphragm corrections, flattening the field and removing marginal astigmatism. **Modern build (derived):** three stock singlets on a bench. Taylor's employer declined to make it; Taylor, Taylor & Hobson did, as the Cooke lens. Tessar and many later designs grew from it. Its limits: with only three elements the aperture and angle of view are modest before aberrations return.
Paso 6 - Image 1

Materiales

5

Herramientas requeridas

5

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