Multimode Dispersion in Optical Fibre Calculator

Calculate Modal Dispersion in Optical Fibre

meters
Please enter a valid fibre length.
Please enter a valid core refractive index.
Please enter a valid cladding refractive index.
m/s

Calculation Results

Modal Dispersion (Δτ): seconds

Relative Refractive Index Difference (Δ):

Uncover the impact of multimode dispersion on your optical fibre systems. Our intuitive calculator helps you determine the time difference between modes, crucial for assessing bandwidth limitations and signal degradation in multimode fibre (MMF). Optimize your network design and ensure robust data transmission by understanding modal dispersion effects.

Formula:

The calculator uses the simplified formula for modal dispersion (Δτ) in step-index multimode fibres:

Δτ = (L × n1 × Δ) / c

Where:

  • Δτ = Modal Dispersion (seconds)
  • L = Fibre Length (meters)
  • n1 = Refractive Index of the Core
  • Δ = Relative Refractive Index Difference = (n1 - n2) / n1
  • n2 = Refractive Index of the Cladding
  • c = Speed of Light in Vacuum (approximately 3 × 108 m/s)

This formula helps quantify the time spread of optical pulses due to different modes traveling at varying speeds within the fibre, directly impacting bandwidth.

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