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Physics, visually · Waves, Sound & Light · Concept 10

Reflection and Refraction

Why does a straw look bent in water, and how does light stay trapped inside an optical fibre?

Light bounces off mirrors at a mirror angle, and bends when it changes material. Tilt the beam and see the exact rule.

1Play
Angle in0
Angle out0
Critical angle-
2Try this
  1. Mirror tab. Change the angle of incidence. The reflected beam always leaves at the same angle on the other side of the normal.
  2. Bending tab. Choose Air → Glass. The beam bends towards the normal. Then Glass → Air: it bends away.
  3. Choose Glass → Air and raise the angle past about 42°. The beam stops leaving: total internal reflection.
3Remember it
Memory hook

Slow side, squeeze in: bend toward the normal.

Reflection: angle in = angle out, both measured from the normal (the line at 90° to the surface). Refraction: light slows in glass or water, so it bends towards the normal; leaving, it bends away. Past the critical angle it cannot leave at all.

Reflectionθi = θr
Snell's lawn1 sinθ1 = n2 sinθ2
Refractive indexn = c / v (air 1.00, water 1.33, glass 1.50)
Critical anglesinθc = n2 / n1 (going to a rarer medium)
4See it in a machine

Optical fibres and light guides

Light is kept inside the fibre by total internal reflection. Fibre-optic sensors and data links rely on it.

Photoelectric and laser sensors

A reflective sensor bounces a beam off a mirror (retro-reflector) and checks that the beam returns. Mirror alignment means angle in = angle out.

Lenses on vision cameras

Machine-vision lenses bend light by refraction to focus the part onto the sensor. Different glass changes the focus.

5Check yourself