V-Number calculator

Normalized frequency and mode count of a step-index fiber.

Category: Fiber Optics

Formula: V = (2π·a/λ)·NA · single-mode if V < 2.4048 (first zero of J₀)

Inputs

InputParameterUnitDefault
Core radiusaµm4.1
λlamnm1310
NANA0.14

Result with the default inputs

  • V: 2.7531
  • Modes (≈ V²/2, large V): 3.7898
  • SM cutoff λ: 1499.7131 nm

Open it with your own values: put each input in the address as a parameter, for example /calculators/v-number?a=4.1. A unit other than the listed one goes in <parameter>_unit.

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