6533b7d6fe1ef96bd1265cf2
RESEARCH PRODUCT
Generalized modulational instability in multimode fibers: Wideband multimode parametric amplification
Massimiliano Guasonisubject
Optical fiberFOS: Physical sciencesPattern Formation and Solitons (nlin.PS)02 engineering and technology01 natural scienceslaw.invention010309 optics020210 optoelectronics & photonicsOpticslaw0103 physical sciences0202 electrical engineering electronic engineering information engineeringModal dispersionEigenvalues and eigenvectorsParametric statisticsPhysicsMulti-mode optical fiberbusiness.industryMathematical analysisNonlinear Sciences - Pattern Formation and SolitonsAtomic and Molecular Physics and OpticsNonlinear systemModulational instabilityModalbusinessPhysics - OpticsOptics (physics.optics)description
In this paper intermodal modulational instability (IM-MI) is analyzed in a multimode fiber where several spatial and polarization modes propagate. The coupled nonlinear Schr\"odinger equations describing the modal evolution in the fiber are linearized and reduced to an eigenvalue problem. As a result, the amplification of each mode can be described by means of the eigenvalues and eigenvectors of a matrix that stores the information about the dispersion properties of the modes and the modal power distribution of the pump. Some useful analytical formulas are also provided that estimate the modal amplification as function of the system parameters. Finally, the impact of third-order dispersion and of absorbtion losses is evaluated, which reveals some surprising phenomena into the IM-MI dynamics. These outcomes generalize previous studies on bimodal MI, related to the interaction between two spatial or polarization modes, to the most general case of $Ng2$ interacting modes. Moreover, they pave the way towards the realization of wideband multimode parametric amplifiers.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-08-03 | Physical Review A |