GATE EC 2016 Set 2 — Question 35
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Electromagnetics → Waveguides & Optical Fibers → Light Propagation in Fibers
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Question
Light from free space is incident at an angle to the normal of the facet of a step-index large core optical fibre. The core and cladding refractive indices are and , respectively.
The maximum value of (in degrees) for which the incident light will be guided in the core of the fibre is ________

Correct answer
32 to 33
Solution
The maximum angle of incidence for which light is guided in an optical fiber is related to the Numerical Aperture () by . Given the core refractive index and cladding refractive index , we have:Thus, the maximum angle of incidence is:The value lies within the range 32 to 33.
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