Abstract
In this work we present a study of the performance of nonlinear
switching in a Sagnac interferometer under the action of a relaxed Kerr
nonlinearity, using ultrashort optical pulses. Soliton and quasi-soliton
pulses have been used as initial conditions. We include the effect of
GVD (Group Velocity Dispersion) and consider that losses are negligible.
The transmission, compression factor (C) and extinction ratio
X-Ratio(tr) curves versus input energy were analyzed for two lengths
of the loop (1Z(o) and 2Z(o)) of the Sagnac interferometer, where 4 is
one soliton period. It was verified that an increase of the response
time (tau) of the relaxed Kerr nonlinearity leads to a degradation of
the nonlinear switching, transmission, compression factor and extinction
ratio curves. For instance, in the quasi-soliton propagation regime with
loop of length 1Z(o) and input energy 1.83 pJ, the extinction ratio
(X-Ratio(tr)) decreases from +8.13 dB, at the instantaneous nonlinear
medium, to -0.83 dB, -2.50 dB, -5.95 dB, -8.63 dB, -10.11 dB and -12.10 dB, at the relaxed medium with tau=1 ps
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