Abstract
Distributions on the Poincare sphere for the birefringence eigenpolarizations and the PMD vector in randomly concatenated singlemode optical fiber systems are analytically derived using Pauli's spin matrices for the description of birefringence. It is shown that both the distributions approach an uniform distribution on the sphere as the random concatenation increases. The convergence behavior is investigated using two different models by Wai and Menyuk for the local rectangular birefringence under inclusion of local circular birefringence. We find that, when the local birefringence is dominantly rectangular, the eigenpolarization approaches an uniform distribution (after ∼10 concatenated elements) much faster than the PMD vector ( ∼30 elements).
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