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A graded index fiber has a core diameter of 45 $\mu m$. Core has a parabolic reflective profile.
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written 7.1 years ago by
teamques10
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Given: Core diameter $= 45µm$
Core radius $(a) = 22.5µm$
$NA = 0.22 \\ λ = 1.2µm$
To find: Total number of guided modes $(M_g)= ?$
Solution: For graded index fiber,
$M_g= \dfrac {V^2}4 \\ V= \dfrac {2π}λ ∙a∙NA \\ V= \dfrac { 2π}{1.2×10^{-6}} ∙22.5× 10 ^{-6}∙0.22 \\ ∴V=25.918 \\ M_g= \dfrac {25.918^2}4 \\ ∴ M_g=167.93 ≈168 $
Ans: The number of guided modes $M_g=168$
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