Analytical solution for mode coupling coefficients at the joint of optical fibers with axial mismatch

In this paper is presented the analytical formula for calculating the coupling coefficient between a modes of arbitrary radial and azimuthal orders on the joint of optical fibers when the joint has an axial mismatched. The solution is obtained by a known method of Gauss approximation. As an example, the present work shows the calculations results of dependencies of mode coupling coefficients from ratio of radii of mode spot for some low order modes.

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

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

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

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

[5]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

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

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

[8]  Wei-Ping Huang.  Coupled-mode theory for optical waveguides: an overview , 1994 .

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

[10]  G. R. Hadley,et al.  Optical Waveguide Theory and Numerical Modelling , 2004 .

[11]  D. Marcuse,et al.  Coupled mode theory of round optical fibers , 1973 .

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

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

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

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

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

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

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

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

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

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

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

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

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