Maxwell-Drude-Bloch dissipative few-cycle optical solitons

Abstract

We study the propagation of few-cycle pulses in a two-component medium consisting of nonlinear amplifying and absorbing two-level centers embedded into a linear and conductive host material. First we present a linear theory of propagation of short pulses in a purely conductive material and demonstrate the diffusive behavior for the evolution of the low-frequency components of the magnetic field in the case of relatively strong conductivity. Then, numerical simulations carried out in the frame of the full nonlinear theory involving the Maxwell-Drude-Bloch model reveal the stable creation and propagation of few-cycle dissipative solitons under excitation by incident femtosecond optical pulses of relatively high energies. The broadband losses that are introduced by the medium conductivity represent the main stabilization mechanism for the dissipative few-cycle solitons.

Spectral properties of femtosecond chirped Gaussian pulse propagating in a dense three-level Λ-type atomic medium

“…The interaction of an ultrashort pulse laser with atoms and molecules is currently one of the hottest study subjects of nonlinear optics and the propagation of an ultrashort pulse laser in atom or molecular media is an import part of the study [1][2][3][4][5][6][7][8]. For long pulse, we can use the Maxwell-Bloch (M-B) equations with the slowly varying envelop approximation (SVEA) and the rotating-wave approximation (RWA) to obtain some important results, for example, the area theorem [9,10], which can predict and explain many interesting phenomena such as self-induced transparency (SIT) and pulse compression.…”

Two-level laser by the interaction of self-induced transparency pulses and surface Anderson localizations of light

“…To this aim, it is necessary to invoke some nonlinear outof-equilibrium phenomenon in the coherent interaction of matter and pulsed radiation; specifically, we consider a self-induced transparency (SIT) pulse that can travel undistorted in a strongly absorbing medium [4][5][6][7][8][9]. SIT transports population inversion between two energy levels: when the relaxation time is sufficiently longer than the pulse duration, the Rabi flopping behavior is predominant; a sufficiently strong signal, with a duration T such that ω R T 2π(ω R is the Rabi frequency), generates the traveling inversion of population.…”

Compression of femtosecond pulses into dissipative few-cycle optical solitons in coherent nonlinear resonant media

“…Such type of pulses are reviewed and properly referenced in Ref. 4 .By powerful pulses we mean pulses that are able to induce power broadening comparable in width to the value of the optical frequency itself (≈ 1 eV), but not yet powerful enough to ionize the atom (< 10 eV), so that the atomic structure of levels is adequately described by the unperturbed atomic Hamiltonian. The durations τ p of these pulses reach the value of the inverse optical frequency ω 0 : τ p ≈ ω −1 0 , thus invalidating the usual rotating wave and slowly-varying approximations.…”