A perturbation approach is used to study the quantum noise of optical solitons
in an asymmetric fiber Sagnac interferometer (a highly transmissive nonlinear
optical loop mirror). Analytical expressions for the three second-order quadrature
correlators are derived and used to predict the amount of detectable amplitude
squeezing along with the optimum power-splitting ratio of the Sagnac interferometer.
We find that it is the number-phase correlation owing to the Kerr nonlinearity
that is primarily responsible for the observable noise reduction. The group-velocity
dispersion affecting the field in the nonsoliton arm of the fiber interferometer
is shown to limit the minimum achievable Fano factor.
© 1999 Optical Society of America
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