Question

What is the acceptance angle of an optical fiber with refractive index of core is 1.55 and refractive index of cladding is 1.50?

Answer 1

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Answer 2

Answer:

The acceptance angle of the optical fibre is 22.95°

Explanation:

Given that,

For an optical fibre-

The refractive index of the core is 1.55

$= > \mu _{cr} = 1.55$

The refractive index of cladding is 1.50

$= > \mu _{cl} = 1.50$

We are required to find the acceptance angle of the optical fibre based on these values.

Let the acceptance angle be α the relation for this angle with the refractive indexes is

$\sin( \alpha ) = \sqrt{ \mu_{cr} {}^{2} -\mu_{cl} {}^{2} }$

Substituting the known values in the above relation,we get

$\sin( \alpha ) = \sqrt{1.55 {}^{2} - {1.50}^{2} } \\ = \sqrt{0.1525} = 0.39 \\ = > \alpha = \sin {}^{ - 1} (0.39) = 22.95 {}^{0}$

Therefore,the acceptance angle of the optical fibre is 22.95°

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