In this paper, we discuss the multistable state in a semiconductor las
er that has an external-cavity grating system for the first time (to t
he best of our knowledge). We analyzed onset conditions and stable sol
ution conditions of the multistability and bistability, and observed o
pen- and closed-loop multistabilities. The properties of the multistab
le loops depend upon whether the internal facet reflectivity of the la
ser diode is larger or smaller than the external grating cavity reflec
tivity. This phenomenon directly reflects the intrinsic properties of
the coherent interactions between the internal facet and the external
grating cavity in the semiconductor laser diode, We experimentally obs
erved the optical pulse-width memory effect in the external grating-tu
ned semiconductor lasers, Based upon this setup and results, a multist
able optical logic device can be built with a carefully designed compo
und cavity semiconductor laser device.