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A Korean metamaterial formed of a lattice of conducting rectangles achieves an index of refraction of 38.6. What is the critical angle of the metamaterial in air?

Answer :

The critical angle of the Metamaterial of the Korean lattice made up of conducting rectangles is 1.14°.

The refractive index of the given Korean micromaterial formed of lattice of conducting rectangles is 38.6.

we know, the refractive index and the critical angle of the material are related to each other as,

C = sin⁻¹(1/n)

Where,

C is the critical angle,

n is the refractive index of the material.

Now, putting the values,

C = sin⁻¹(1/38.6)

C = sin⁻¹(0.02)

C = 1.14°

So, the critical angle of the the metamaterial of the Korean lattice is 1.1

4°.

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