• Pixel-art sticker of Malux, personifying Malus's Law, with the caption “Turn Me, Dim The Light.”

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Malux

Malus's Law Physics

\[I = I_0 \cos^2\theta\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
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Meet Malux, a striped filter who decides how much light gets through just by turning. Malus's law says polarised light keeps intensity I₀cos²θ: all of it at 0°, a quarter at 60°, almost none at 90°. Polarised sunglasses use this to block glare. 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 Malux, a striped filter who decides how much light gets through just by turning.

Light is a wave of electric field that wiggles in some direction. A polarising filter only lets through the part of that wiggle lined up with its own axis. If light that is already polarised meets a second filter, the share that passes depends on the angle between the light's direction of wiggle and the filter's axis.

Malus's law says the transmitted intensity is I = I₀cos²θ. At θ = 0 everything gets through. At θ = 60°, cos²θ = 0.25, so only a quarter of the light passes. At 90° the filters are crossed and almost nothing gets through.

Ordinary sunlight is unpolarised, so the very first filter it meets always passes about half of it, whatever the angle.

Polarised sunglasses use this to cut glare. Light reflecting off water or a road is partly polarised, and the lenses are turned so that this light is blocked.

Equations

\[I = I_0 \cos^2\theta\]
Symbols
SymbolMeaningUnit
\(I\) transmitted intensity \(\mathrm{W/m²}\)
\(I_0\) intensity of the polarised light reaching the filter \(\mathrm{W/m²}\)
\(\theta\) angle between the light's polarisation and the filter axis \(\mathrm{rad}\)