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Wave phenomena describe what happens to the wave, not to individual particles of the medium.
Reflection
Reflection occurs when a wave strikes a surface and bounces back into the original medium.
$$\theta_i = \theta_r$$
Refraction
Refraction is the bending of a wave as it passes from one medium to another, caused by a change in the wave’s speed.
Frequency never changes during refraction.
Refractive index
The refractive index of a medium is the ratio of the wave speed in vacuum (or air) to the wave speed in the medium.
$$v = \frac{c}{n}$$
A fish appears closer to the surface than it is because the light rays refract at the water to air boundary and your eye traces them back in straight lines.
$$n_1 \sin \theta_1 = n_2 \sin \theta_2$$
where:
Diffraction
Diffraction is the spreading out of waves when they pass through a gap or around an obstacle.
Interference
Interference is the combination of two or more waves when they overlap in the same region of space.
Constructive Interference
Constructive interference is a phenomenon where two or more waves meet and combine to form a single new wave with a larger amplitude than the individual waves
Two water ripples meeting crest to crest produce a higher wave.
Destructive interference
Interference in which two waves combine to produce a smaller amplitude (and therefore reduced intensity), often when they are out of phase.
Noise-cancelling headphones reduce sound using destructive interference.