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Explain the significance of V-number. Derive the expression for number of guided modes in graded-index fiber.
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  • It is a dimensionless parameter that determines the number of modes a fiber can support. It is given by:

    $V= \frac{2π}λ a\sqrt{n_1^2-n_2^2} \\ \; \\ V = \frac{2πa}λ(N.A) \\ \; \\ V = \frac{2πan_1}λ(\sqrt{2∆}) \\ \; \\ $

    where,

    a = radius of the core

    λ = wavelength of ray …

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