The analytical formula for estimating a nonlinear coupling of optical fiber modes

This paper is presented the simple analytical formula for calculating the nonlinear coupling coefficient between modes with arbitrary radial and azimuthal orders for multimode optical fiber. The solution is obtained by a well-known method of Gauss approximation. For example, the present work shows the spectral dependencies of nonlinear coupling coefficients for some low-order modes of optical fibers with step and parabolic refractive index profile.

[1]  E Hugues-Salas,et al.  Software defined networking (SDN) over space division multiplexing (SDM) optical networks: features, benefits and experimental demonstration. , 2014, Optics express.

[2]  Jian Zhao,et al.  Approaching the Non-Linear Shannon Limit , 2010, Journal of Lightwave Technology.

[3]  A. Yariv.  Coupled-mode theory for guided-wave optics , 1973 .

[4]  A. Snyder.  Coupled-Mode Theory for Optical Fibers , 1972 .

[5]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

[6]  Guifang Li,et al.  Space-division multiplexing: the next frontier in optical communication , 2014 .

[7]  Gerhard Kramer,et al.  Capacity limits of information transport in fiber-optic networks. , 2008, Physical review letters.

[8]  H. Silva,et al.  Nonlinear Semi-Analytical Model for Simulation of Few-Mode Fiber Transmission , 2012, IEEE Photonics Technology Letters.

[9]  R. J. Black,et al.  Optical Waveguide Modes: Polarization, Coupling and Symmetry , 2010 .

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

[11]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[12]  C. D. Hussey,et al.  Variational approximations for higher-order modes of weakly-guiding fibres , 1984 .

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

[14]  R. Essiambre,et al.  Nonlinear Shannon Limit in Pseudolinear Coherent Systems , 2012, Journal of Lightwave Technology.

[15]  P. Winzer,et al.  Capacity Limits of Optical Fiber Networks , 2010, Journal of Lightwave Technology.

[16]  H. B. Dwight,et al.  Tables of Integrals and Other Mathematical Data , 1934 .

[17]  A. Snyder,et al.  Understanding monomode optical fibers , 1981, Proceedings of the IEEE.

[18]  Thorsten Gerber,et al.  Handbook Of Mathematical Functions , 2016 .

[19]  A. Boudrioua.  Optical Waveguide Theory , 2010 .

[20]  Hermann A. Haus,et al.  Coupled-mode theory of optical waveguides , 1987 .

[21]  Angela Amphawan,et al.  Review of optical multiple-input–multiple-output techniques in multimode fiber , 2011 .

[22]  Andrew D. Ellis.  The nonlinear Shannon limit and the need for new fibres , 2012, Photonics Europe.

[23]  Naoya Wada,et al.  Advanced space division multiplexing technologies for optical networks [Invited] , 2017, IEEE/OSA Journal of Optical Communications and Networking.

[24]  L. Nelson,et al.  Space-division multiplexing in optical fibres , 2013, Nature Photonics.

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