Optical Bit Error Rate

Chapter 2.15 - Self-Phase Modulation

2.15   SELF-PHASE MODULATION

The dynamic characteristics of a propagating optical pulse in fiber, due to the Kerr
effect of the medium, result in modulation of its own phase. This nonlinear phe-
nomenon, known as self-phase modulation, causes spectral broadening. If the non-
linear refractive index of the fiber is n, the temporal variation of the electric field of
the photonic signal causes the (nonlinear) Kerr effect. This deals with the variation
of n in the time domain (dn/dt). Thus, as a photonic pulse propagates, a temporal
variation of phase, Φ, takes place. According to electromagnetic wave theory, in a
nonlinear medium, the phase derivative is proportional to frequency, dΦ/dt = 2πf,
which in this case is manifested by the generation of intense sidetones (undertones
and overtones) that affect the spectral distribution of the signal and cause spectral
broadening (Figure 2.17). Moreover, if the wavelength of the pulse is below the
zero-dispersion point (known as a normal dispersion regime), then spectral broaden-
ing causes temporal broadening of the pulse as it propagates. If the wavelength is
above the zero-dispersion wavelength of the fiber (the anomalous dispersion
regime
), then chromatic dispersion compensates for self-phase modulation and re-
duces the temporal broadening.


Figure 2.17. As a pulse (with a spectral distribution) (A) travels in a nonlinear medium, it affects its refractive index (B), the slope of which (C), according to the Kerr effect, causes spectral broadening and shape distortion.

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