• Pixel-art sticker of Bubbla, personifying Thin-Film Interference, with the caption "I'm Thin. I'm Colourful."

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Bubbla

Thin-Film Interference Physics

\[2 n d = \left(m+\tfrac{1}{2}\right)\lambda\]
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Meet Bubbla, a thin soap film whose varying thickness gives the swirling colours. Light reflecting from her front and back interferes. With one phase flip, reflection is strongest when 2nd = (m + ½)λ at normal incidence. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

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

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

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

Delivery times & where we ship

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.

Full refund & replacement policy

The physics

Meet Bubbla, a soap film whose colours come from light interfering with itself.

When light hits a thin film, some reflects from the front surface and some from the back. The two reflected waves overlap. The back-surface wave travels an extra distance 2d inside the film, which counts as 2nd once the film's index is included. Reflection from the front of a soap film (air to soap) flips the wave's phase by half a cycle, while reflection from the back (soap to air) does not. So the reflection is brightest when 2nd = (m + ½)λ at normal incidence.

Because the condition depends on wavelength, a film of a given thickness reflects some colours strongly and others weakly. As the film drains and thins unevenly, the bands of colour swirl and shift.

The same physics colours oil slicks and is used deliberately in anti-reflection coatings on glasses and camera lenses.

Where a soap film becomes much thinner than a wavelength, all colours cancel in reflection and it looks black just before it pops. The formula here assumes light arriving straight on.

Equations

\[2 n d = \left(m+\tfrac{1}{2}\right)\lambda\]
Symbols
SymbolMeaningUnit
\(n\) refractive index of the film —
\(d\) film thickness \(\mathrm{m}\)
\(m\) integer order (0, 1, 2, …) —
\(\lambda\) wavelength of the light in vacuum \(\mathrm{m}\)