Derive the expression in an optical fibre for (i) Acceptance angle (ii) Numerical aperture.

https://imbooz.com/engineering-physics/fiber-optics-derivation-for-acceptance-angle-or-numerical-aperture/

Open the above link and checkout the derivation process.

Results should be:

Acceptance Angle

Numerical Aperture

*SELF TYPED
*SOURCE: Internet and Books

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Derive the expression in an optical fibre for (i) Acceptance angle (ii) Numerical aperture.

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The refractive indices of core and cladding materials of a step index fibre are 1.48 and 1.45, respectively. Calculate: (i) numerical aperture, (ii) acceptance angle, and (iii) the critical angle at the core-cladding interface and (iv) fractional refractive indices change.