Generalized modulational instability in multimode fibers: wideband multimode parametric amplification

In this paper intermodal modulational instability (IM-MI) is analyzed in a multimode fiber where several spatial and polarization modes propagate. The coupled nonlinear Schrodinger 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 absorption 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 N>2interacting modes. Moreover, they pave the way towards the realization of wideband multimode parametric amplifiers.

[1]  Thibaut Sylvestre,et al.  Generation of a broadband single-mode supercontinuum in a conventional dispersion-shifted fiber by use of a subnanosecond microchip laser. , 2003, Optics letters.

[2]  R. Essiambre,et al.  Nonlinear Propagation in Multimode and Multicore Fibers: Generalization of the Manakov Equations , 2012, Journal of Lightwave Technology.

[3]  Shaival Buch,et al.  Soliton stability and trapping in multimode fibers. , 2015, Optics letters.

[4]  M. Lisak,et al.  Modulational instability of coherent optical-fiber transmission signals. , 1984, Optics letters.

[5]  Remoissenet,et al.  Modulational instability and critical regime in a highly birefringent fiber. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[6]  L Grüner-Nielsen,et al.  First demonstration and detailed characterization of a multimode amplifier for Space Division Multiplexed transmission systems. , 2011, Optics express.

[7]  Guifang Li,et al.  Multimode fiber amplifier with tunable modal gain using a reconfigurable multimode pump , 2011 .

[8]  A. Galtarossa,et al.  Coupling Effects Among Degenerate Modes in Multimode Optical Fibers , 2014, IEEE Photonics Journal.

[9]  René-Jean Essiambre,et al.  Capacity Trends and Limits of Optical Communication Networks , 2012, Proceedings of the IEEE.

[10]  Logan G. Wright,et al.  Controllable spatiotemporal nonlinear effects in multimode fibres , 2015, Nature Photonics.

[11]  S. Turitsyn,et al.  Nonlinear pulse combining and pulse compression in multi-core fibers. , 2014, Optics letters.

[12]  A. Tonello,et al.  Ge-Doped Microstructured Multicore Fiber for Customizable Supercontinuum Generation , 2011, IEEE Photonics Journal.

[13]  G. Millot,et al.  Observation of modulational instability induced by velocity-matched cross-phase modulation in a normally dispersive bimodal fiber. , 1997, Optics letters.

[14]  Zach DeVito,et al.  Opt , 2017 .

[15]  Peter M Krummrich,et al.  Optical amplification and optical filter based signal processing for cost and energy efficient spatial multiplexing. , 2011, Optics express.

[16]  W. Magnus.  On the exponential solution of differential equations for a linear operator , 1954 .

[17]  Li Zi-yao,et al.  Fiber-based Optical Parametric Amplifiers and Their Applications , 2004 .

[18]  A Tonello,et al.  Frequency tunable polarization and intermodal modulation instability in high birefringence holey fiber. , 2006, Optics express.

[19]  Mark Shtaif,et al.  Modeling Raman amplification in multimode and multicore fibers , 2014, OFC 2014.

[20]  Magnus Karlsson,et al.  Modulational instability in lossy optical fibers , 1995 .

[21]  K. Porsezian,et al.  Modulational instability with higher-order dispersion and walk-off in Kerr media with cross-phase modulation , 2012 .

[22]  M. S. Moreolo,et al.  Optical Fiber Communication Conference , 2014 .

[23]  Partha P. Mitra,et al.  Nonlinear limits to the information capacity of optical fibre communications , 2000, Nature.

[24]  S. Ramachandran,et al.  High-energy four-wave mixing, with large-mode-area higher-order modes in optical fibres , 2012, 2012 38th European Conference and Exhibition on Optical Communications.