Snell's Law Calculator

Snell's Law describes how light bends when it passes from one transparent material into another — like from air into water or glass — because light travels at different speeds in different materials.

n1 n2
Instant Result
Refraction Angle θ2 -
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What Is a Snell's Law (Refraction) Calculator?

Snell's Law describes how light bends when it passes from one transparent material into another — like from air into water or glass — because light travels at different speeds in different materials. This calculator finds the refraction angle from the two materials' refractive indices and the incoming angle.

How to Use This Snell's Law (Refraction) Calculator

  1. Enter the refractive index of the first material (n1) — air is about 1.0.
  2. Enter the incident angle θ1, measured from the normal (perpendicular) line, in degrees.
  3. Enter the refractive index of the second material (n2) — water is about 1.33, glass about 1.5.
  4. Click Calculate to get the refraction angle θ2.

Formula

Worked Example

Light travels from air (n1 = 1.0) into water (n2 = 1.33) at a 40° incident angle. sin(θ2) = (1.0/1.33) × sin(40°) ≈ 0.483, so θ2 = arcsin(0.483) ≈ 28.9°.

Frequently Asked Questions

What does Snell's Law describe?

How light bends when passing between materials with different refractive indices.

What is the formula?

n1 × sin(θ1) = n2 × sin(θ2).

What causes total internal reflection?

Light traveling to a less dense medium beyond a critical angle reflects entirely instead of refracting.

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