n₁·sinθ₁ = n₂·sinθ₂ critical angle θ_c = arcsin(n₂ / n₁) when n₁ > n₂

Snell's Law: How light bends crossing between media; critical angle & TIR. This free calculator solves for Refraction angle, critical angle and shows every step.

The physics

Light bends when it crosses between media of different optical density because its speed changes. When light travels from a denser to a rarer medium beyond the critical angle, it reflects entirely — total internal reflection — the principle behind fibre optics.

Worked example

Air (n₁ = 1.00) into glass (n₂ = 1.50) at θ₁ = 30°. sinθ₂ = (1·sin30°)/1.50 = 0.333 → θ₂ = 19.5° (bends toward the normal).

Common uses

Lens and camera design, fibre-optic communications, prisms and spectroscopy, eyeglasses, mirages.

Frequently asked questions

What is the formula for Snell's Law?

Snell's Law uses the formula n₁·sinθ₁ = n₂·sinθ₂. How light bends crossing between media; critical angle & TIR.

How do you calculate Snell's Law?

Choose which variable to solve for, enter the values you know (in any supported unit), and the calculator substitutes them into n₁·sinθ₁ = n₂·sinθ₂ and shows every step of the working. It can solve for Refraction angle, critical angle.

Is the Snell's Law calculator free to use?

Yes — every Physics Fundamentals calculator is completely free, with no login, no ads and no usage limits.