Abstract
A matrix theory which is capable of describing the Cross-polarization modulation (XPolM) in semiconductor optical amplifier (SOA) is presented in this paper. Using the transfer matrix method, we prove that there exists Principal State of Polarization (PSP) vector and Polarization Dependent Gain (PDG) vector in SOA. The evolution of output SOP on the Poincare Sphere (PS) can be decomposed into two circles, which are induced by PDG and Polarization Dependent Phase Shift (PDPS), respectively. The expressions of PSP vector and PDG vector with regard to inner parameters of SOA are obtained. The pump-power induced evolution of output SOP is investigated experimentally. The experimental results accord well with this matrix theory.
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