Abstract
In this paper, the numerical studies on optical-bistability phenomena in third-, fifth-, and seventh-order
nonlinear periodic media are presented. By cross-phase modulation with strong Gaussian pump, the continuous-wave
probe transmission that operates in bistability regime can be permanently switched from low to high and vice versa
using the property of the unstable state. While there is only one hysteresis in the third-order nonlinear periodic
media, double hysteresis are observed in the nonlinear-transmission characteristics of π phase-shifted periodic media with third–fifth and
third–fifth–seventh-order nonlinearities. In the context of double hysteresis, unique-bistability regime
is defined where the high state can be reached as input comes from low to high with fast enough rise time such that
the output rises above the unstable state during its transient. Finally, all-optical transistor operation is shown
as a prominent application of optical bistability based on the unstable-state principle.
© 2007 IEEE
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