Semiconductor-doped Glass Fibres Research Articles

Dynamically Stable Super Gaussian Solitons in Semiconductor Doped Glass Fibers

In this paper we have investigated the propagation properties of chirped super Gaussian soliton pulses through semiconductor doped glass fibers which is a dispersive medium with cubic quintic nonlinearity. Using variational principle, the evolution equations of the soliton parameters such as amplitude, temporal width, position of centre, chirp etc. have been derived. The dynamics of these parameters have been analysed. Employing linear stability analysis we have shown that super Gaussian solitons are stable in semiconductor doped glass fibers.

Solitons in semiconductor-doped glass fibres with higher-order effects

We consider nonlinear wave propagation in a semiconductor-doped glass fibre. After the truncation of the saturated nonlinear equation, we obtain the envelope equation which consists of the higher-order effects like dispersion and self-steepening. The conditions for which the system admits soliton-type pulse propagation are investigated through the bilinear method. We also present the explicit soliton solutions.

Soliton propagation in semiconductor-doped glass fibres with higher-order dispersion

Considering the third-order dispersion with saturated nonlinearity, exact soliton pulse propagation in a semiconductor-doped glass fibre is explained.

Two-state bright solitons in doped fibers with saturating nonlinearity.

Fundamental bright soliton solutions are studied numerically in a model for pulse propagation in semiconductor-doped glass fibers with exponential saturation of the nonlinear dielectric function. It is shown that the given model possesses two-state soliton solutions in the sense that for a given set of fiber parameters there exist two soliton solutions with the same pulse width but with different peak amplitudes, i.e., with different peak powers. The stability of these solitons under weak perturbations and the effect of the fiber loss are also investigated. A comparison with earlier results for such solitons is made. \textcopyright{} 1996 The American Physical Society.

Optical solitons in semiconductor-doped glass fibres with saturation-type nonlinearity

We study soliton solutions of the nonlinear equation governing pulse propagation in semiconductor-doped glass (SDG) fibres which have saturation-type nonlinearity. The phase modulation of the pulse is nonlinear and no sech-type soliton exists in SDG fibres when high-order correction terms are taken into account. As compared with optical solitons in ordinary glass fibres, the property of the solitons discussed here is somewhat different.

Saturation effects on modulational instability in non-Kerr-like monomode optical fibers

Saturation effects on modulational instability in saturable non-Kerr-like semiconductor doped glass fibers in a steady-state regime are investigated. Several saturation functions for the induced nonlinear refractive-index changes are tested in a generalized nonlinear Schroedinger equation. It is found that the critical modulation frequency and the gain spectrum are sensitive to the precise saturation function chosen whenever the pump light transversal mode can be considered as having a homogeneous distribution over the cross section of the fiber core. Whenever the spatial inhomogeneity is taken into account, different saturation functions lead to a similar behavior of both modulation frequency and gain spectrum dependence upon incident power.

THE PROPAGATING SOLITARY WAVE SOLUTION IN SEMICONDUCTOR-DOPED GLASS OPTICAL FIBERS

The general propagating solitary wave solution in semiconductor-doped glass fibers, in which the nonlinearity is of saturation-type, is given. The properties of the solitary waves in various cases are discussed and the formation conditions of the bright and dark solitons are analzed.

Nonlinear propagation of incoherent light in single-mode semiconductor-doped glass fibers with saturable nonlinearity

Self-phase modulation and induced phase modulation of noisy fields in single-mode semiconductor-doped glass fibers with saturable nonlinearity is studied theoretically in a regime of zero group velocity dispersion and no group velocity mismatch. The results have shown that the saturable nonlinearity in such fibers imposes a limit to coherence time shortening and corresponding spectral broadening owing to the high order nonlinearity. The minimum incoherent light correlation time is determined by the so-called saturation parameter, which is the inverse of the saturation power.

Modulational instability in semiconductor-doped glass fibers with saturable nonlinearity

Modulational instability in doped glass fibers is analyzed theoretically in a steady-state regime, taking into account a saturable nonlinearity. The results have shown that the critical modulation frequency and modulation gain increase with input power, reaching a maximum value at the saturation power. This leads to a unique value of the critical modulation frequency for two different input powers so that two solutions will experience a maximum gain at the same frequency.

Dynamical Equation for Nonlinear Pulse Propagation in Semiconductor-doped Glass Fibres

Abstract A basic nonlinear dynamical equation for pulse propagation in semiconductor-doped glass fibres is derived from the nonlinear wave equation using the slowly varying envelope approximation.