Snell's Law, also known as the Law of Refraction, is an equation that relates the angle of the incident
light and the angle of reflected/transmitted light at the interface of two different mediums. Snell's
Law can be applied to all materials, in all phases of matter. Most people are familiar with Snell's Law
because of the apparent shortening of their legs that is observed when standing in water. Another
commonly recognized example of refraction in a material is diamonds. The many facets of the cut diamond
combined with a high index of refraction give diamonds the brilliance that they are known for. Snell's
Law is especially important for optical devices, such as fiber optics. Snell's Law states that the ratio
of the sine of the angles of incidence and transmission is equal to the ratio of the refractive index of
the materials at the interface.
Refraction occurs because the speed of the light changes when it passes into a new medium. The speed of
light in a medium is given by the following equation:
$$c=λν=nv$$
where n is the refractive index of the material and c is the speed of light in a vacuum. The refractive
index can also be determined from the permittivity and permeability of the material. Therefore it is
possible to know the optical properties of the material from the electrical properties of the material.
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