Physics – Optics
Scientific paper
2011-04-23
Journal of Lightwave Technology, vol. 29, pp. 3119-3128, 2011
Physics
Optics
Original: 9 pages, 4 figures, Supplement: 3 pages, 1 figure
Scientific paper
10.1109/JLT.2011.2165316
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.
Ho Keang-Po
Kahn Joseph M.
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