Numerical and experimental analysis of polarization dependent gain vector in Brillouin amplification system

The polarization dependent gain (PDG) of Brillouin amplification systems is numerically investigated in detail by solving a new model describing the evolution of PDG vector along the fiber with random birefringence. In this model both the modulus and orientation of the PDG vector are considered. By including the temporal distribution of fiber birefringence, the statistical properties of the PDG vector, including its mean value and standard deviation, are presented as function of fiber beat length, input pump power and fiber length, which can be directly applied in practice to estimate the performance of Brillouin amplification systems in term of its polarization dependence. Experimental results on a Brillouin amplification system are also reported to support the validity of our model. The analysis presented here helps to gain insight for the properties of PDG vector in any SBS systems.