Begin2.DVI

(Ben Green) #1
Consider the prism illustrated in the figure 12-2. The angle Aof a prism is known

as the apex angle or refracting angle. The angles associated with a ray of light

entering or leaving the sides of a prism are measured with respect to a normal line

constructed to a side of the prism and the ray of light is governed by Snell’s law^1

entering

nasin x=ngsin α

leaving

ngsin β=nasin ξ

(12 .11)

where nmdenotes the refractive index for light in medium m(m=aair and m=g

glass). Here x is called the angle of incidence and αis called the angle of refrac-

tion. The refracted ray travels across the prism and again undergoes Snell’s law

and becomes the exiting ray. There is a reversibility principle whereby light can

travel in either direction along the path illustrated in the figure 12-2. In figure 12-2

the incident ray is extended and the exiting ray also has been extended and these

extended rays intersect in the angle ycalled the angle of deviation.

Figure 12-2. Ray of light through a prism.

(^1) See Chapter 2 , pages 122-124.

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