Observation of two soliton propagation in an erbium doped inhomogeneous lossy fiber with phase modulation

We consider optical pulse propagation in an Erbium doped inhomogeneous lossy optical fiber with time dependent phase modulation, which is governed by a system of Generalized Inhomogeneous Nonlinear Schrödinger Maxwell–Bloch (GINLS–MB) equation. Multi-soliton propagation is studied analytically by means of deriving associated Lax pair and the soliton solutions are obtained using Darboux transformation. By suitably adjusting the group velocity dispersion and nonlinearity parameter, we discuss various soliton dynamics such as periodic distributed amplification, pulse compression etc. In each case, we demonstrate the influence of inhomogeneous parameter. Finally we investigate the pulse compression through nonlinear tunneling.

► We consider the soliton in an inhomogeneous Erbium doped fiber with phase modulation. ► Generalized Inhomogeneous NLS-Maxwell–Bloch (GINLS–MB) equation is considered. ► Two soliton solutions are obtained via Darboux transformation based on Lax Pair. ► Using dispersion and nonlinearity, various soliton dynamics are investigated. ► Finally, pulse compression through nonlinear tunneling effect is discussed.