Statistics of Group Delays in Multimode Fiber with Strong Mode Coupling
arXiv:1104.4527 · doi:10.1109/JLT.2011.2165316
Abstract
The modal group delays (GDs) are a key property governing the dispersion of signals propagating in a multimode fiber (MMF). A 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 (p.d.f.) of the GDs is the eigenvalue distribution of the ensemble. For fibers with two to seven modes, the marginal p.d.f. of the GDs is derived analytically. For fibers with a large number of modes, this p.d.f. 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. This revision also made clarification to the original paper, the group delay statistics is also extended to high number of modes.
Original: 9 pages, 4 figures, Supplement: 3 pages, 1 figure
Cited by in corpus (23)
- Space Division Multiplexing in Optical Fibres
- Light fields in complex media: mesoscopic scattering meets wave control
- Nonlinear Propagation in Multimode and Multicore Fibers: Generalization of the Manakov Equations
- Controlling light propagation in multimode fibers for imaging, spectroscopy and beyond
- Spatio-temporal Control of Light Transmission through a Multimode Fiber with Strong Mode Coupling
- Complete Polarization Control in Multimode Fibers with Polarization and Mode Coupling
- Learning and avoiding disorder in multimode fibers
- Frequency Diversity in Mode-Division Multiplexing Systems
- Orbital-angular-momentum mode-group multiplexed transmission over a graded-index ring-core fiber based on receive diversity and maximal ratio combining
- Principal modes in multimode fibers: exploring the crossover from weak to strong mode coupling
- Large N classical dynamics of holographic matrix models
- Assessing the effects of mode-dependent loss in space-division multiplexed systems
- Super- and Anti-Principal Modes in Multi-Mode Waveguides
- Exact Model for Mode-Dependent Gains and Losses in Multimode Fiber
- Spectral Shaping in a Multimode Fiber by All-fiber Modulation
- Statistical Description of Transport in Multimode Fibers with Mode-Dependent Loss
- Upper and Lower Bounds for the Ergodic Capacity of MIMO Jacobi Fading Channels
- Analytic Models for the Capacity Distribution in MDG-impaired Optical SDM Transmission
- Coherent Wave Propagation in Multi-Mode systems with Correlated Noise
- Quasi-Normal Modes from Non-Commutative Matrix Dynamics
- SDM Optical Systems with MMSE Equalizers: Information Rates and Performance Monitoring
- Enforcing Levy relaxation for multi-mode fibers with correlated disorder
- MDG and SNR Estimation in SDM Transmission Based on Artificial Neural Networks