📜 Theorem, law or theory

Snell's law of refraction

Ley de la refracción (ley de Snell)

Date
1621 · confidence medium
Place
Leiden, Netherlands
Credited to
Willebrord Snel van Royen (Snellius); René Descartes
People
👤 René Descartes1596–1650👤 Willebrordus Snellius (Snel van Royen)1580–1626
Field
Communication

⚠️ Disputed: the sources disagree.

What was discovered

The ratio of the sines of the angles of incidence and refraction is constant for a given pair of media. It turns refraction into a quantitative law and enables the mathematical design of lenses.

Ibn Sahl used it in 984; Thomas Harriot knew it around 1602; Snell formulated it in 1621 without publishing it; Descartes published it in 1637 (in France it is called Descartes' law).

What it led to

  • Quantitative geometrical optics and lens design
  • Refractive index as a property of matter
  • Fermat's principle (1662) and the speed of light in media
  • Optical fibre (total internal reflection)
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Sources✓ verified 2026-09-25