Red light is incident in air on a 30 o - 60 o - 90 o prism as shown. The inciden

Question

Red light is incident in air on a 30o - 60o - 90 o prism as shown. The incident beam is directed at an angle of 1 = 43.4owith respect to the horizontal and enters the prism at a height h = 27 cm above the base. The beam leaves the prism to the air at a distance d = 70.6 along the base as shown.

4)

What is 1,max, the maximum value of 1 for which the incident beam experiences total internal reflection at the horizontal face of the prism?

6)

Suppose now that the violet beam is incident at height h, but makes an angle 1,v = 60o with the horizontal. What is 3,v, the angle the transmitted beam makes with the horizontal axis?

Explanation / Answer

ng sin phi = na sin 90

sin^-1(1/1.445) = 43.79

90 - 43.79

180 = 30 + 46.2 - A

A = 103.8

phi2 = 103.8 - 90 = 13.8

ng sinphi2 = na sinphi_o

sin^-1(1.445 * sin 13.8 )

= 20.16 degree

phi_o = 90 -30 - 20.16

phi = 39.84

part 6 )

nv * sin30 = na * sin phi

phi = sin^-1(1.65 *sin 30)

phi = 50.8 degree

phi_3v = 90 - 50.8 = 39.2 degree

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