Chromatic Dispersion Pulse Broadening Calculator
Optical Fiber Telecommunications: Calculate chromatic dispersion ($D$), group velocity dispersion ($\beta_2$), pulse broadening ($\Delta\tau$), and maximum reach.
Fiber & Dispersion Parameters
Laser Source Characteristics
Dispersion & Broadening Output
Accumulated Dispersion
-- ps/nm
GVD β₂: -- ps²/km
Pulse Broadening ($\Delta\tau$)
-- ps
Bit Period Tb: -- ps
Bit Period Penalty ($\Delta\tau / T_b$)
-- %
Threshold: ≤ 25% safe
Max Uncompensated Reach
-- km
Dispersion Length LD: -- km
Dispersion Relationships:
• Pulse broadening: $\Delta\tau = |D| \cdot L \cdot \Delta\lambda$. Group Velocity Dispersion: $\beta_2 = -\frac{\lambda^2}{2\pi c} D$.
• As data rate increases from $10$ to $100$ Gbps, chromatic dispersion tolerance drops by a factor of $100$ ($L_{\text{limit}} \propto 1/B^2$).
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