AllMyCalculators

Snell’s Law and Refraction Calculator

Works out how light bends at a boundary.

Air is about 1.0003, water 1.33, glass about 1.5 and diamond 2.42.

°

From the normal: the line at right angles to the surface.

°
Answer
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Refracted angle — °
Refractive index, second material —
Critical angle — °
Speed of light in the second material —
Reading this —

The formula

n₁ sin θ₁ = n₂ sin θ₂ critical angle = sin⁻¹(n₂ ÷ n₁)

Angles run from the normal, not the surface. The index also varies a little with colour, which is what makes a prism work.

What to watch out for

Fibre optics trap light with total internal reflection, by keeping it beyond the critical angle.

Frequently Asked Questions

What happens to light entering water at 30°?

It bends to 22.1° from the normal.

What is the critical angle from water to air?

About 48.8°.