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Abstruct-We present a mathematical model of the strong, resonantly enhanced nonlinear phase shift recently reported in Er-doped fibers, which relates the phase shift and signal loss to the fiber parameters and the pump and signal wavelengths. Predictions are in fair agreement with the phase shift and loss measured in an experimental Er-doped fiber switch based on this effect. A strong, nearly wavelength independent contribution to the nonlinear phase shift is observed in the switch. The model suggests that this effect is due to the same nonlinear effect arising from one or more VUV transitions in Er3+.

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