A novel type of optical bistable device (OBD) based the Abble theory i
s proposed, in which the modulation is realized by moving one sinusoid
al amplitude grating. When the parameters of this system are chosen pr
operly this system can be a one-channel or two-channel optical bistabl
e device. The mathematical models which describe the optical bistabili
ty are obtained. Numerical simulations on the optical bistabilities an
d the stability analysis on this system for two cases are given. The t
wo-channel OBD may work as a 1 x 2 optical switch or a stable filter f
or wavelength division multiplexing, and may be applied in code-divisi
on multiple access networks and optical recovery circuit.