Mathematical modeling of random coupling between polarization modes in single-mode optical fibers: Integrated statistical properties of polarization modes of single-mode optical fibers in the presence of random inhomogeneities

Using mathematical modeling, an explicit form is found for the Jones matrix of a segment of a single-mode optical fiber with random inhomogeneities, w hose length is considerably greater than the correlation length of random i nhomogeneities. It is shown that parameters of this matrix are of a statist ical nature, A rational representation of the matrix is proposed. It is sho wn that, under certain conditions, one of the matrix parameters may be trea ted as constant, whereas the other parameter is assumed to be continuously distributed on the interval [0, 2 pi].As the latter parameter is changed, w hich corresponds to a change from one random realization of inhomogeneities in a single-mode fiber to another, the ellipticity and the azimuth of the major axis of the polarization ellipse of natural polarization modes of a s ingle-mode fiber simultaneously change. (C) 2000 MAIK "Nauka/Interperiodica ".