Self-Induced Transparency in Bragg Reflectors: Gap Solitons near Absorption Resonances

Ultrashort pulses in an inhomogeneously broadened two-level medium: soliton formation and inelastic collisions

“…There is a number of generalizations, as well, aiming to take into account the near-dipoledipole interactions (local-field correction) in the dense resonant media [8], Stark shift of the absorption line [9], and few-cycle pulse dynamics in the regime of invalidity of the rotating-wave approximation [10,11]. Using the two-level model and its generalizations, the broad spectrum of SIT studies was performed including invariant pulse propagation and optical switching in dense media [12,13], quasiadiabatic following analysis [14], incoherent solitons [15], SIT soliton lasers [16], SIT soliton collisions [17,18], SIT in Bragg reflectors and photonic crystals [19,20,21], coherent pulse propagation and SIT effects in doped waveguides and amplifiers [22,23], SIT in the presence of Kerr nonlinearity [24,25], etc.…”

Optical solitons in periodic media with resonant and off-resonant nonlinearities

“…Due to the Bragg reflections, the electric field E gets decomposed into forward-and backward-propagating components E F and E B , which satisfy equations that are a straightforward generalization of the 1D equations derived by Kozhekin and Kurizki [1995], Kozhekin, Kurizki and Malomed [1998], and Opatrný, Malomed and Kurizki [1999] (see also Eqs. (4.21) and (4.23) in this review):…”

“…Another one-parameter subfamily of moving GS was found in the exact form of a phase-modulated 2π-soliton by Kozhekin and Kurizki [1995]:…”

“…Let us assume (Kozhekin and Kurizki [1995], Kozhekin, Kurizki and Malomed [1998], Opatrný, Malomed and Kurizki [1999]) a one-dimensional (1D) periodic modulation of the linear refractive index n(z) along the z direction of the electromagnetic wave propagation (see Fig. 3).…”

“…(5.18), as well as the possibility to launch a moving GS by the incident light field, numerical simulations of Eqs. (4.6) were performed by Kozhekin and Kurizki [1995]. As the launching condition, the incident wave was taken in the form…”