Optical Bit Error Rate

Chapter 2.13.9 - Pulse Timing and Dispersion

2.13.9   Pulse Timing and Dispersion

As optical pulses propagate in the fiber, the pulse characteristics degrade due to at-
tenuation, noise, jitter, and nonlinear effects from photon–matter interactions. As a
result, the timing pulse characteristics, rise time and fall time, degrade. If we consider
that the total timing degradation of pulses (ΔτTOT) is the contribution of the
transmitter (ΔτTR), fiber (ΔτFIB) and receiver (ΔτREC), then the following relationship
holds:

 

The contribution ΔτFIB consists of all dispersion contributing mechanisms modal
τMOD), chromatic (ΔτGVD), and polarization (ΔτPOL), and the rise/fall time for the
transmitter and receiver are obtained from device specification. That is,

 

In single-mode fiber, the modal dispersion may be considered negligible. In addition,
for bit rates up 10 Gbit/s and moderate fiber lengths (<100 km), polarization
dispersion may be considered negligible and, therefore,
Substituting for chromatic dispersion one
obtains a relationship for the fiber length that meets the pulse timing requirements:

 

Furthermore, if we consider the practical rule that the total rise and fall time degradation
of the pulse at the receiver threshold level should not exceed half the pulse
period 0.5 T, ΔτTOT ≤ 0.5 T (for NRZ modulation), then the above relationship is
further simplified as:

 

Clearly, if the limiting factors that we considered as negligible are not so, then the
length of fiber to meet timing requirement decreases. Moreover, the fiber length is a
function of wavelength since all limiting factors in the aforementioned relationship
depend on wavelength. However, wavelength variability has been compensated for
by the practical rule ΔτTOT ≤ 0.5 T .

 

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