2014
DOI: 10.1088/0953-4075/47/9/095401
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Ultrashort pulses in an inhomogeneously broadened two-level medium: soliton formation and inelastic collisions

Abstract: Abstract. Using numerical simulations, we study propagation of ultrashort light pulses in an inhomogeneously broadened two-level medium. There are two main issues in our study. The first one concerns the transient process of self-induced transparency soliton formation, in particularly the compression of the pulse which seems to be more effective in the case of homogeneous broadening. The second question deals with the collisions of counter-propagating solitons. It is shown that the level of inhomogeneous broad… Show more

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Cited by 15 publications
(8 citation statements)
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“…In Section 3, the pulses are suggested to be long enough, so that the RWA violation cannot be connected with the processes on the single-cycle scale studied previously [22]. As to collisions of counter-propagating chirped pulses inside the medium, the present study continues our previous work where interaction of chirp-free pulses in both homogeneously and inhomogeneously broadened two-level media was analyzed [17,34,35]. It was shown that, changing intensity of the first pulse, one can effectively control the transmission of the second pulse.…”
Section: Introductionmentioning
confidence: 66%
“…In Section 3, the pulses are suggested to be long enough, so that the RWA violation cannot be connected with the processes on the single-cycle scale studied previously [22]. As to collisions of counter-propagating chirped pulses inside the medium, the present study continues our previous work where interaction of chirp-free pulses in both homogeneously and inhomogeneously broadened two-level media was analyzed [17,34,35]. It was shown that, changing intensity of the first pulse, one can effectively control the transmission of the second pulse.…”
Section: Introductionmentioning
confidence: 66%
“…Although it was reported that kinks are preserved under inhomogeneous broad-ening [14], it may be interesting to test this prediction with our more general numerical approach adapting the scheme described in Ref. [28]. Since calculations in this paper were performed for two-level atoms in vacuum, a more general consideration is worth exploring, taking into account the background matrix (see, e.g., the study of its influence on mirrorless optical bistability [29]).…”
Section: Discussionmentioning
confidence: 99%
“…Incident light pulses have the central wavelength λ=0.8 µm and the Gaussian envelope Ω=normalΩpexpfalse(t2/2tp2false) with the pulse duration of tp=50 fs. For pulses of such short duration, we can safely neglect the influence of the near dipole–dipole interactions between the two‐level emitters as well as the inhomogeneous broadening . The peak Rabi frequency is given by normalΩp=normalΩ0=λ/2πctp which corresponds to the pulse area of 2π (the 2π SIT pulse).…”
Section: Governing Equationsmentioning
confidence: 99%