Description of ultrashort pulse propagation in multimode optical fibers

By F. Poletti, P. Horák. 2008

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Pulse Propagation in a Short Nonlinear Graded-Index Multimode Optical Fiber (2012, background): “While symmetry arguments can somewhat reduce the number of nonlinear coupling terms in cylindrically symmetric optical fibers as shown in [10], the large number of modes and coupling terms can easily bury the interesting physical phenomena and especially make it difficult to use the observations in ”
Self-organized instability in graded-index multimode fibres (2016, positive): “(�,�)=|∑55�=1��𝜑�| 2 , where ��=��+𝑖�� and �� and �� are random numbers from a uniform distribution from -1 to 1. For the disorder-induced mode-coupling matrix, we computed the coefficients from Eqn. (1) for 1000 random bends of the fibre, described by ∆�(�,�)=∆�� 𝑅 + ∆�� 𝑅 for √�2+�2≤𝑅 and = 0”
Modeling of Nonlinear Propagation in Space-Division Multiplexed Fiber-Optic Transmission (2016, neutral): “Consequently, the nonlinear terms assume the form [17], [37]”
Nonlinear Propagation in Multimode and Multicore Fibers: Generalization of the Manakov Equations (2012, positive): “We simplify the analysis in [10] by neglecting longitudinal components of modal fields and assume that two linearly polarized components of each spatial mode have the same spatial distribution (see [8]).”