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Show that for a material with refractive index µ ≥ 2 ,

Question:

Show that for a material with refractive index µ ≥ 2 , light incident at any angle shall be guided along a length perpendicular to the incident face.

Solution:

Let the refractive index of the rectangular slab be μ ≥ √2.

μ = 1/sin ic

sin ic > 1/ μ

cos r ≥ 1/ μ

sin i/sin r = μ

From Snell’s law

Sin I = μ sin r

i = 90o

1 + 1 ≤ μ2

2 ≤ μ2

Taking the square root

√2 ≤ μ

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