Answer :
Consequently, an optical fiber's glass core has a 0.58° index of refraction.
What is index of refraction?
The ratio of the speed of light in a vacuum (c) to the speed of light in a medium (c') is known as the index of refraction (n): The propagation vector in the new medium has a different angle with respect to the normal as a result of this difference in speed when light travels from one medium to another at an angle. The refractive index of glass is 1.5. This indicates that the speed of light in glass is not independent of light color and is 1.5 times slower than in a vacuum.
What is the thinnest index for glasses?
The thinnest, flattest, and most aesthetically pleasing lens ever created is a high index 1.74 lens. These incredibly thin lenses provide you the best in both technology and aesthetics because they are 5% thinner than 1.67 high index lenses and approximately 50% thinner than plastic.
Briefing:
refractive index of glass (n₁)= 1.64
refractive index of cladding,(n₂) = 1.49
To ensure that the refracted angle in the cladding is 90°, we must determine the critical angle in the core.
Using Snell's Law we have
n₁ x sin (θ₁ ) = n₂ x sin(θ₂)
θ₂ = 90°
n₁ x sin (θ₁ ) = n₂ x sin(90°)
Ɵ₁=sin⁻¹ (n₂/n₁)
Ɵ₁=sin⁻¹ (1.49/1.64)
Ɵ₁=sin⁻¹(0.908)
Ɵ₁=90.58
However, the normal is used to quantify this angle.
= 90° - 90.58°
= 0.58°
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