📜 Theorem, law or theory

Fresnel equations

Ecuaciones de Fresnel

Date
1821-1823 · confidence high
Place
Paris, France
Credited to
Augustin-Jean Fresnel
Field
Cosmos & Earth

What was discovered

Building on his theory of light as a transverse wave, Fresnel derived equations that exactly predict what fraction of light is reflected and refracted at the interface between two media, depending on the angle of incidence and polarisation; he presented them in full to the French Academy of Sciences in January 1823.

This is a later development of his own 1818 wave theory of light, already in the catalogue; here the milestone is the concrete derivation of the reflection and refraction formulas, not the general wave theory.

What it led to

  • A quantitative explanation of light polarisation
  • An explanation of Brewster's angle and total internal reflection
  • Applications in optical coatings, fibre optics and polarised photography
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Sources✓ verified 2026-09-28