Role of polarization mode dispersion on modulational instability in optical fibers

Journal Article · Fri Jun 01 04:00:00 EDT 2001 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.63.063701· OSTI ID:40203444

Garnier, J; Abdullaev, F Kh; Seve, E; Wabnitz, S

We introduce the theory of modulational instability (MI) of electromagnetic waves in fibers with random polarization mode dispersion. Applying a linear stability analysis and stochastic calculus, we show that the MI gain spectrum reads as the maximal eigenvalue of a constant effective matrix. In the limiting cases of small or large fluctuations, we give explicit expressions for the MI gain spectra. In the general configurations, we give the explicit form of the effective matrix and numerically compute the maximal eigenvalue. In the anomalous dispersion regime, polarization dispersion widens the unstable bandwidth. Depending on the type of variations of the birefringence parameters, polarization dispersion reduces or enhances the MI gain peak. In the normal dispersion regime, random effects may extend the instability domain to the whole spectrum of modulations. The linear stability analysis is confirmed by numerical simulation of the full stochastic coupled nonlinear Schrodinger equations.

• Sponsoring Organization: (US)
• OSTI ID: 40203444
• Journal Information: Physical Review E, Journal Name: Physical Review E Journal Issue: 6 Vol. 63; ISSN 1063-651X
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BIREFRINGENCE
EIGENVALUES
ELECTROMAGNETIC RADIATION
FIBERS
FLUCTUATIONS
INSTABILITY
OPTICAL FIBERS
POLARIZATION
SIMULATION
SPECTRA
STABILITY