The calculated critical angle (i) is 73.7° and total internal reflection (α) is 54.58°
Given: refractive index of core, n core = 1.46
refractive index of clad, n clad = 1.4
The incidence angle that causes the refraction angle to be equal to that at that angle of incidence is known as the critical angle.
The incidence angle needs to be greater than the critical angle for Total Internal Reflection to happen.
Now, we know that the θcr is given by:
sinθcr = n clad/n core
θcr = sin⁻¹ (n clad/ n core)
θcr = sin⁻¹(1.4/1.46)
= sin⁻¹(0.96)
=73.7°
Now for α :
sin α= sin(90° - 73.7°) × 1.46
= sin(16.3°) × 1.46
=-0.558 × 1.46
=-0.815
= (0.815)
= 54.58°
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