Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion
We perform modulational instability analysis of the Kuznetsov-Ma breather (KMB) propagating in a medium with constant and periodic dispersions. In the constant dispersion case, we show that the most unstable modulational instability eigenmode leads to bifurcation of the KMB into a sequence of bre...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/45478/1/1-s2.0-S1007570415002592-main.pdf http://irep.iium.edu.my/45478/ http://www.journals.elsevier.com/communications-in-nonlinear-science-and-numerical-simulation/ |
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| Institution: | Universiti Islam Antarabangsa Malaysia |
| Language: | English |
| Summary: | We perform modulational instability analysis of the Kuznetsov-Ma breather (KMB) propagating
in a medium with constant and periodic dispersions. In the constant dispersion case, we
show that the most unstable modulational instability eigenmode leads to bifurcation of the
KMB into a sequence of breathers. The time at which bifurcation starts and the bifurcation
rate are quantitatively accounted for. In the case of a KMB propagating in an optical fiber with
a constant dispersion perturbed by a sinusoidal time-dependent modulation our results suggest
that the KMB is most unstable just before and after the breather reaches its maximum
peak height. Parametric resonance occurs when the frequency of the dispersion modulation
is much larger than the natural frequency of the breather. |
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