• Pixel-art sticker of Michelix, personifying Michelson Interferometer, with the caption “Move A Hair, Count The Fringes.”

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Michelix

Michelson Interferometer Physics

\[\Delta d = \frac{m\lambda}{2}\]
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Meet Michelix, a half-silvered plate who splits a laser beam and counts tiny steps. Moving one mirror changes that path twice, so each fringe means half a wavelength: 100 fringes of 633 nm light is about 31.7 μm. LIGO's 4 km arms use this to detect gravitational waves. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

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Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

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Flat $6 shipping on every order, worldwide, whatever's in it.

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Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

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The physics

Meet Michelix, a half-silvered plate who splits a laser beam in two and then counts tiny steps.

In a Michelson interferometer, one beam goes to a fixed mirror and the other goes to a mirror that can move. The beams come back and overlap, making a pattern of bright and dark rings called fringes.

Moving one mirror by Δd changes that beam's path by 2Δd, because the light travels there and back. Each time the path changes by one wavelength, one fringe passes. So Δd = mλ/2. With a red laser of 633 nm, counting 100 fringes means the mirror moved about 31.7 μm, less than half the width of a hair.

In 1887 Michelson and Morley used this set-up to look for an ether wind and found none, a key clue for relativity.

The LIGO detectors are giant versions with arms 4 km long. They can sense changes far smaller than a proton, enough to detect gravitational waves.

Equations

\[\Delta d = \frac{m\lambda}{2}\]
Symbols
SymbolMeaningUnit
\(\Delta d\) distance the mirror moves \(\mathrm{m}\)
\(m\) number of fringes counted \(\mathrm{dimensionless}\)
\(\lambda\) wavelength of the light \(\mathrm{m}\)