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Waves

Refraction using Huygens’ Principle (continued)

The next diagram shows how to use Huygens’ principle to produce a simple equation to predict how a set of waves will move when going from one medium to another.

Angles ABC and ADC are 90°.

 

which gives us

which means that, for a given pair of media, the ratio, sinq1 to sinq2 is a constant (equal to v1/v2). This fact is easily verified by experiment. It is frequently applied to light "waves" and is called Snell’s law of refraction.

The angle between a normal line and the direction of propagation in medium one is called the angle of incidence (equal to q1). The angle between a normal line and the direction of propagation in medium two is called the angle of refraction (equal to q2).

The sine of the angle of incidence divided by the sine of the angle of refraction is equal to a constant called the refractive index, n, of the two media.

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© David Hoult 2009