Solitary propagation effect of a well-defined chirped femtosecond laser pulse in a resonance-absorbing medium

Abstract

We investigate the solitary propagation effect of a well-defined chirped femtosecond laser pulse in a resonanceabsorbing medium which is modeled by a two-level quantum dot ensemble. Employing full time-dependent and space-dependent Maxwell-Bloch equations, the evolution of the pulse and the population inversion as well as the spectrum are obtained. The results reveal that the special chirped pulse can retain its shape and resist breakup while propagating through the absorbing medium. Besides, the spectrum does not exhibit obvious broadening but the central and near-central frequency components tend to vanish. Moreover, the stable soliton formed by the special chirped-pulse design based on stimulated Raman adiabatic passage does not obey the area theorem.

Compression and collisions of chirped pulses in a dense two-level medium

“…Influence of chirp on pulse propagation in the two-level medium is under examination, at least, from the 1980s [26]. More recent theoretical studies allowed us to find the analytical solutions for a certain class of chirped pulses [27] and investigate the validity of the RWA for the so-called ultrachirped pulses [28], showed the splitting of chirped pulses with particular spectral composition [29], demonstrated the soliton formation from a two-component chirped pulse [30] and the coherent control of spectral shifts [31], analyzed excitation of the medium with the sub-cycle and single-cycle chirped pulses and formation of sub-cycle solitons [32,23,33], etc.…”

2D Self-Similar Profile for Laser Beam Propagation in Medium with Saturating Multi-Photon Absorption

“…Soliton (or soliton-like) profile of a laser beam (shape of a laser pulse) is very attractive problem among other nonlinear optics problems (see, for example [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]). In most researches, the soliton mode of laser pulse or beam propagation is investigated for transparent media or media with linear absorption.…”

Doppler effects in the propagation of a few-cycle pulse through a dense medium

“…With the rapid development in ultrafast laser technology [1,2], it has become more attractive to extend the study of the interaction between matter and light into extreme nonlinear regime [3]. The fundamental problem in this field is the interaction of few-cycle pulses with resonant twolevel atomic (TLA) ensembles, which lays the foundation for understanding the more complex cases, such as the quantum dot ensembles [4], three-level atoms [5], and specifically designed structures [6].…”

“…The transmitted spectrum of few-cycle pulses propagating in vacuum to a TLA material has been studied extensively by the previous works [4][5][6][7]. However, few studies have investigated the reflected spectrum.…”