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Wave Optics

Question

What should be the maximum acceptance angle at the air-core interface of an optical fibre if μ₁ and μ₂ are the refractive indices of the core and the cladding, respectively?
$\sin^{- 1} (μ_{2} / μ_{1})$
$\sin^{- 1} \sqrt{μ_{1}^{2} - μ_{2}^{2}}$
$\tan^{- 1} (μ_{2} / μ_{1})$
$\tan^{- 1} (μ / μ_{2})$

Solution

\sin^{- 1} \sqrt{μ_{1}^{2} - μ_{2}^{2}}