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Cooke Triplet Lens
Pixel

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Pixel

22. September 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.
Pertengahan
2 hours

Arahan

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.

Bahan untuk langkah ini:

Set kanta cembungSet kanta cembung1 set
Kanta cekungKanta cekung1 keping

Alatan diperlukan:

Pembaris KeluliPembaris Keluli
2

Mount the triplet

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

Alatan diperlukan:

Bangku dan rel optikBangku dan rel optik
Set pemegang kantaSet pemegang kanta
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.

Bahan untuk langkah ini:

Kertas GrafKertas Graf1 helaian
Gulung kertas surih corakGulung kertas surih corak1 helaian
Pita pelekat kertasPita pelekat kertas1 gulung

Alatan diperlukan:

Lampu suluh LED pemeriksaanLampu suluh LED pemeriksaan
Pita UkurPita Ukur
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.

Alatan diperlukan:

Pembaris KeluliPembaris Keluli
5

Petzval sum and design

Memuatkan buku nota 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.
Langkah 6 - Image 1

Bahan

5

Alatan Diperlukan

5

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