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In this letter, a polarization model based on a Mueller matrix approach is used to determine the degree of linear polarization of light propagating in an optical fiber deployed in a nontrivial configuration, i.e., helically wound on a cylindrical shell experiencing uniform radial displacement. Simulations are performed to investigate the effect of externally induced birefringence and compared to results from a polarization model found in the literature. A comparison of the simulations using both models showed that birefringence due to the fiber deployment and geometry greatly effected the polarization properties of the light transmitted in the fiber. The polarization model based on a Mueller matrix approach includes the effects of fiber deployment and geometry, and accurately describes polarization phenomena for nontrivial fiber configurations.