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Find the core radius necessary for single mode operation at 800 nm in step-index fiber with n1=1.48 and n2=1.47. Find the NA and maximum acceptance angle.
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Solution:

(i) For signal mode propagation, V is given by,

V=2πaλn21n22

Given n1=1.48,n2=1.47,λ=800 nm

Also V=2.405 for single mode

a=1.78μm.

(ii) NA=n21n22=0.1717

(iii) Let α be the acceptance angle, then sinα=NA or α=sin1(NA)α=9.88

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