A light ray traveling through medium 1, index of refraction n 1 = 1.40, reaches

Question

A light ray traveling through medium 1, index of refraction n1 = 1.40, reaches the interface between medium 1 and medium 2, index of refraction n2 = 1.24.

Part A

At what minimum angle with respect to the normal must the ray be incident on the interface in order to be totally internally reflected?

A light ray traveling through medium 1, index of refraction n1 = 1.40, reaches the interface between medium 1 and medium 2, index of refraction n2 = 1.24.

Part A

At what minimum angle with respect to the normal must the ray be incident on the interface in order to be totally internally reflected?

Explanation / Answer

let the angle of incidence be i
sin(i)/sin(r) = 1.24/1.4 (snell's law)
for TIR, r = 90
so sin(i) = 1.24/1.4
i = 62.339 deg

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