Double optical bistability and its application in nonlinear chalcogenide-fiber Bragg gratings

We study the continuous wave (CW) nonlinear transmission characteristics of chalcogenide-fiber Bragg gratings (c-FBGs). The set of Cubic quintic septic nonlinear coupled mode equations (CQSNLCMEs) is derived analytically to govern nonlinear wave propagation in c-FBGs by counting until seventh-order nonlinearity in chalcogenide glass. Double-optical bistability is observed in the CW nonlinear transmission characteristics of π phase-shifted c-FBG. Based on unstable state principle in the hysteresis, all-optical transistor operation is shown as a prominent application of optical bistability in such device.