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Physics 06253.2 Light

Refraction and total internal reflection

Shine a ray into a glass block, vary the angle of incidence and find the critical angle for yourself.

  • n = sin i / sin r
  • Critical angle
  • Total internal reflection
normalair (n = 1.00)glass (n = 1.50)i = 35°r = 22.5°

Angle of incidence

35°

Angle of refraction

22.5°

Critical angle

41.8°

sin i / sin r

1.5

Predict

Going from glass into air, what happens once the angle of incidence exceeds the critical angle?

Experiment

  1. 1Set the direction to air → glass and confirm the ray bends towards the normal.
  2. 2Switch to glass → air and raise the angle slowly until the refracted ray disappears. Compare that angle with the critical angle readout.
  3. 3Increase the refractive index and see what happens to the critical angle.

Explain

Light slows down entering a denser medium, so it bends towards the normal. Leaving a denser medium it speeds up and bends away from the normal.

n = sin i / sin r. The critical angle is the angle of incidence in the denser medium that gives an angle of refraction of exactly 90°. Past it, refraction is impossible and every ray is reflected — which is how optical fibres carry light around bends without losing it.