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Compute the maximum radius allowed for a fiber having core RI 1.47 & cladding RI 1.46. The fiber is to support only one mode at a wavelength of 1300 nm.

Subject: Applied Physics 2

Topic: Fiber Optics

Difficulty: Medium

1 Answer
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$$ $$ $ n_1 = 1.47 , \\ n_2 = 1.46 \\ λ= 1300*10^{-9} m \\ $

$ \text{For step index fiber V = 2.405 } \\ $

$ \text{= 2 П a NA / λ 2.405} \\ $

$ \text{⸫ radius ‘a’ = 2.405 * 1300*10^{-9} / 2 NA} \\ $

$ ⸫ radius ‘a’ = 2.405 * 1300*10^{-9} / 2 \\ ⸫ radius ‘a’ = 2.908 μm $

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