s law. Determine refracted ray angles from incident angle and refractive indices for optics and physics calculations.">

Angle of Refraction Calculator

Free calculate the angle of refraction using snell's law from incident angle and refractive indices of two media.

Input Parameters

Air: 1.0, Water: 1.33, Glass: 1.5

Enter the medium the ray enters

Results

Enter angles and refractive indices

Snell's Law

Formula

n₁ × sin(θ₁) = n₂ × sin(θ₂)

Therefore: θ₂ = arcsin((n₁ × sin(θ₁)) / n₂)

Where:

  • • n₁ = refractive index of medium 1
  • • n₂ = refractive index of medium 2
  • • θ₁ = incident angle
  • • θ₂ = refracted angle

Common Refractive Indices

  • • Air: 1.0003
  • • Water: 1.333
  • • Glass: 1.5-1.9
  • • Diamond: 2.42

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