Optics

Snell's Law

n1sinθ1=n2sinθ2n_1 \sin\theta_1 = n_2 \sin\theta_2

Describes how light bends when passing between media with different refractive indices.

Variables

n_1
Refractive index of medium 1
unitless
\theta_1
Angle in medium 1
°
n_2
Refractive index of medium 2
unitless
\theta_2
Angle in medium 2
°

Derivation

Derived from Fermat's principle of least time or from the wave nature of light at boundaries.

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Common questions

What is the Snell's Law formula?

Snell's Law is written n₁ sinθ₁ = n₂ sinθ₂. Describes how light bends when passing between media with different refractive indices. It belongs to Optics, under Refraction.

What are the units in n₁ sinθ₁ = n₂ sinθ₂?

In SI units, n_1 is refractive index of medium 1 (dimensionless); \theta_1 is angle in medium 1, measured in °; n_2 is refractive index of medium 2 (dimensionless); \theta_2 is angle in medium 2, measured in °.

How is the Snell's Law formula derived?

Derived from Fermat's principle of least time or from the wave nature of light at boundaries. The result is n₁ sinθ₁ = n₂ sinθ₂.