Essential idea: All waves can be described by the same sets of mathematical ideas. Detailed knowledge of one area leads to the possibility of prediction in another.
Understandings: Wavefronts and rays
Applications and skills: Sketching and interpreting diagrams involving wavefronts and rays
Data booklet: c = f λ
We can examine waves in one dimension (as along a string or a slinky), two dimensions (such as waves on the surface of water) or three dimensions (such as light or sound).
A wavefront is a way of describing and visualising the propagation of waves. This is probably easiest to do for two dimensional waves, such as water waves in a pool. If you can picture all the points on that surface that are in phase together, such as the peaks or crests of the waves (or the dips or troughs) and join them up on a diagram you have the wavefronts. If there is a continuous travelling wave then there will be a series of wavefronts, each separated from the other by a distance of one wavelength. This is easy to picture for water waves, but the same applies to light, sound, etc.
Sometimes you just want to examine a wave along its direction of propagation. A light bulb may fill a room with light but you are only interested in the light that leaves the bulb, reflects from a surface and enters your eye. We can describe this small bit of a wave, and the path it takes, as a ray. All waves, including light, water and sound, can be described as rays. We can reproduce approximate rays experimentally for light using ray-boxes or lasers. Note that rays are ALWAYS perpendicular to wavefronts.
17th century Dutch scientist Christiaan Huygens promoted the idea of wavefronts. His method for predicting where the next wavefront will be is to say that every point on a wavefront is the source of a wave and that if we plot a circle of radius the wavelength all along the wave then where those circles join, in the direction of propagation, will be the next wavefront. This is trivial for linear, or even circular, wavefronts, but is more powerful when examining wave phenomena such as reflection, refraction, diffraction and interference. (Note: as his name is Huygens it is Huygens's construction or principle, not Huygen's construction or principle).
We have examined graphs of waves in previous sections, but it is worth remembering that all types of waves, transverse and longitudinal, sound waves, light waves, water waves and more can all produce the same distance-displacement and distance-time graphs.
Oxford Physics: pages 134 - 137
Hamper HL (2014): pages 172 - 173
Pages 193-201, in combination with previous sections test all of this content.