Statistics of Group Delays in Multimode Fiber With Strong Mode Coupling

By Keang-Po Ho, Joseph M. Kahn. Journal of Lightwave Technology, 2011

256 citations recorded by the source corpus.

The modal group delays (GDs) are a key property governing the dispersion of signals propagating in a multimode fiber (MMF). An MMF is in the strong-coupling regime when the total length of the MMF is much greater than the correlation length over which local principal modes can be considered constant. In this regime, the GDs can be described as the eigenvalues of zero-trace Gaussian unitary ensemble, and the probability density function (pdf) of the GDs is the eigenvalue distribution of the ensemble. For fibers with two to seven modes, the marginal pdf of the GDs is derived analytically. For fibers with a large number of modes, this pdf is shown to approach a semicircle distribution. In the strong-coupling regime, the delay spread is proportional to the square root of the number of independent sections, or the square root of the overall fiber length.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/5dc0cd505927d5eb16942b886b51d30eb59d94c5

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

Mode Coupling and its Impact on Spatially Multiplexed Systems (2013, methodology): “Likewise, in MMF, field coupling models describe PMs and how their GDs are affected by mode coupling [10,13,17,41], and explain an observed polarization dependence of the impulse response [13,81].”
Nonlinear Propagation in Multimode and Multicore Fibers: Generalization of the Manakov Equations (2012, unknown): “Because it is difficult to address the general problem of mixed coupling, it is assumed often that all modes are strongly coupled [3], [14], [15].”
Linear Propagation Effects in Mode-Division Multiplexing Systems (2014, background): “With this constraint, the columns of U(t)(ω) are input principal modes, which are eigenvectors of a group delay operator [13], [20], [55], [56]”
Light fields in complex media: Mesoscopic scattering meets wave control (2017, methodology): “Interestingly, the distribution of delay times follows a semi-circle law as was shown based on a suitable random matrix model (Ho and Kahn, 2011).”
Modeling of Nonlinear Propagation in Space-Division Multiplexed Fiber-Optic Transmission (2016, unknown): “In the case of a group supporting two spatial modes this coefficient becomes (16/15)(1 − fR ) + (6/5)fR , and for larger values of Nj (which may occur in advanced fiber structures [16]) it grows and eventually converges to (4/3)(1 − fR ) + (3/2)fR .”