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Achromatic Lens
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Penny

20. สิงหาคม 2026DK
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Achromatic Lens

Two kinds of glass cemented together to cancel a fault that Newton had declared incurable. A simple lens bends blue light more sharply than red, so every colour focuses at a slightly different distance and the image carries coloured fringes — chromatic aberration. Newton concluded that refraction and colour-spreading were inseparable, and turned to mirrors instead. He was wrong, and the proof is that different glasses spread colour by different amounts relative to how strongly they bend. Pair a weak converging lens of crown glass with a stronger-dispersing diverging lens of flint glass and the colour errors subtract while the focusing power survives. Chester Moor Hall had working achromatic lenses around 1733 and kept quiet; John Dollond patented the idea in 1758 and his family enforced it.
เริ่มต้น
45 minutes

คำแนะนำ

1

See the fault

Find chromatic aberration before trying to cure it.

  1. Use a single convex lens to focus a bright white source onto a card.
  2. Move the card slowly through the focus.
  3. Watch the fringe colour flip from bluish on one side to reddish on the other.
There is no single position where all colours are sharp — that is the whole problem. Blue focuses closer to the lens than red, so wherever you put the card, some colour is out of focus.

วัสดุสำหรับขั้นตอนนี้:

Convex LensConvex Lens1 ชิ้น
2

Separate bending from spreading

Two different properties, and the distinction is the key to everything.

  1. Pass a narrow beam through a prism and note the spread of colours.
  2. Note also how far the beam as a whole is deviated.
  3. Deviation is bending; dispersion is spreading.
Newton's error was assuming these two always go together in fixed proportion. They do not — the ratio differs from glass to glass, and that ratio has a name, the Abbe number. Everything else follows from it.

วัสดุสำหรับขั้นตอนนี้:

ProtractorProtractor1 ชิ้น
3

Cancel colour, keep focus

The doublet takes advantage of that mismatch.

  1. A crown element: converging, low dispersion.
  2. A flint element: diverging, high dispersion.
  3. Choose powers so the dispersions cancel while a net converging power remains.
The flint element is throwing away some of the crown's focusing power on purpose, in exchange for cancelling its colour spread. An achromat is therefore always weaker than the crown element alone — you are buying colour correction with focal length.
4

Compare a doublet against a singlet

Put the two side by side on the same target.

  1. Focus a high-contrast edge with a simple lens; note the coloured fringe.
  2. Repeat with an achromatic doublet — a cheap binocular or camera objective will do.
  3. Look specifically at the edges of the field, not the centre.
The doublet's fringes are far fainter but not gone. An achromat brings exactly TWO wavelengths to a common focus; everything between them lands slightly off, and that residue is called secondary spectrum. Bringing three wavelengths together needs an apochromat and much more expensive glass.
5

History and context

Isaac Newton concluded from his prism work that dispersion was proportional to refraction for all materials, making an achromatic refractor impossible. That conclusion drove him to the reflecting telescope, and it held the field for half a century — a case of a great experimenter generalising from too few glasses.

Chester Moor Hall, an Essex barrister, worked out around 1733 that crown and flint could be combined to cancel colour, and had the two elements made by different opticians so neither would understand the whole. The secret leaked anyway, reportedly because both subcontracted the work to the same man.

John Dollond patented the achromatic doublet in 1758. When his son Peter sued rival opticians, the courts accepted that Hall had made achromats first — and still upheld the patent, on the reasoning that the public benefit belongs to whoever brings an invention out into the world rather than whoever keeps it in a drawer. It is one of the clearest early statements of what a patent is actually for, and it is worth knowing that the first inventor lost.

What it made possible: refracting telescopes became competitive with reflectors again, and — more consequentially — the compound microscope became genuinely useful. Nineteenth-century biology and the germ theory rest on microscope objectives that do not smear every specimen with colour.

วัสดุ

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