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Refraction of waves

Waves at the interface (boundary) between two materials may change direction. is the change in direction of a wave at such a boundary. All wave types can be refracted.

It is important to be able to draw to show the refraction of a wave at a boundary.

A diagram shows the refraction of a ray after it travels through glass. It begins at a 55 degree angle and refracts at a 33 degree angle.
Figure caption,
A ray diagram showing light wave refraction at the boundary between air and glass

Explaining refraction - Higher

The of a material is one of the factors that affects the speed that a wave will be transmitted through it.

Wave speed, frequency and wavelength in refraction

For a given of light, the is to the wave speed:

wave speed = frequency Ă— wavelength

So if a wave slows down, its wavelength will decrease. The effect of this can be shown using wave front diagrams, like the one below. The diagram shows that as a wave travels across a depth boundary it slows down and the wavelength decreases. Although the wave slows down, its frequency remains the same, due to the fact that its wavelength is shorter.

Wave front diagram, illustrating a wave as it travels from air into water, and slows down.

In this diagram, water waves move from a deeper area into a shallower area. Water waves move slower in shallower water. The right hand side of the incoming wave slows down before the left hand side does. This causes the wave to change direction.

If the wave were crossing the boundary in the opposite direction, the waves would speed up, and the same path would be taken in reverse.

The amount that the wavelength is changed affects the amount that the direction changes. The amount of wavelength change depends on the differences between the material on each side of the interface. For example, in the diagram, a bigger change in depth would cause a bigger change in speed and so a bigger change in direction.