Title :
Exact Model for Mode-Dependent Gains and Losses in Multimode Fiber
Author_Institution :
Silicon Image, Sunnyvale, CA, USA
Abstract :
In the strong mode-coupling regime, the model for mode-dependent gains and losses (collectively referred as MDL) of a multimode fiber is extended to the region with large MDL. The MDL is found to have the same statistical properties as the eigenvalues of the sum of two matrices. The first matrix is a random Gaussian matrix with its standard deviation proportional to the accumulated MDL. The other matrix is a deterministic matrix with uniform eigenvalues proportional to the square of the accumulated MDL. The results are analytically correct for fibers with two or very large number of modes, and also numerically verified for multimode fibers with other number of modes.
Keywords :
Gaussian processes; eigenvalues and eigenfunctions; optical fibre dispersion; optical fibre losses; deterministic matrix; exact model; mode coupling regime; mode dependent gain; mode dependent loss; multimode fiber; random Gaussian matrix; standard deviation; uniform eigenvalues; Couplings; Eigenvalues and eigenfunctions; Optical fiber dispersion; Optical fiber polarization; Optical fiber theory; Random variables; Mode-division multiplexing (MDM); multimode fiber (MMF); random matrices;
Journal_Title :
Lightwave Technology, Journal of
DOI :
10.1109/JLT.2012.2223657