Abstract
We show that light propagation in a group of degenerate modes of a multi-mode optical fiber in the presence of random mode coupling is described by a multi-component Manakov equation, thereby making multi-mode fibers the first reported physical system that admits true multi-component soliton solutions. The nonlinearity coefficient appearing in the equation is expressed rigorously in terms of the multi-mode fiber parameters.
Highlights
With fiber-communications exhausting the capacity of single-mode fibers, multi-mode fibers are being considered for transmission, with the purpose of increasing the overall fiber-communications throughput through spatial multiplexing
We verify the accuracy of the generalized Manakov equation and demonstrate the existence of multidimansional vector solitons, by solving the complete set of coupled NLSE numerically
The electric field in a group of N degenerate spatial modes is represented by a 2N -dimensional complex valued vector E(z, t), which is constructed by stacking the Jones vectors of the N individual spatial modes one on top of the other
Summary
With fiber-communications exhausting the capacity of single-mode fibers, multi-mode fibers are being considered for transmission, with the purpose of increasing the overall fiber-communications throughput through spatial multiplexing. Starting from the coupled NLSE and assuming random mode coupling, we generalize the standard Manakov equation [3] to the multi-mode case.
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