1971
DOI: 10.1103/physrevlett.27.330
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Exact Solutions of the Self-Induced Transparency Equations

Abstract: 1969). sistive sample which was not studied under pressure. U P. Guetin and G. Schreder, to be published. 14 G. Dolling and R. A. Cowley, Proc. Phys. Soc, 12 Precise determination of the barrier height in simiLondon £8, 463 (1966). lar experimental conditions and quantitative estimation 15 S. S. Mitra, Phys. Rev. L32, 986 (1963). of the differential resistance shape will be the subject 16 M. Hass and B. N. Henvis, J. Phys. Chem. Solids of a future publication. 23, 1099 (1962). 13The P =0 curve was drawn from a… Show more

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Cited by 106 publications
(56 citation statements)
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“…To characterize these low-frequency tails, we introduced the notion of a temporal magnetic area, see Eq. (4). For this quantity we found a conservation law in the form of Eq.…”
Section: Discussionmentioning
confidence: 99%
See 2 more Smart Citations
“…To characterize these low-frequency tails, we introduced the notion of a temporal magnetic area, see Eq. (4). For this quantity we found a conservation law in the form of Eq.…”
Section: Discussionmentioning
confidence: 99%
“…In fact, the MDB soliton spectral width is comparable to the value of the transition frequency itself and its spectrum is exactly centered at the transition frequency, in contrast with video-solitons (that were observed in a passive two-level scheme in Ref. [4]) as well as the solitons that are formed in active-passive three-level ensembles of doping centers (see Refs. [10,12]).…”
Section: The Maxwell-drude-bloch Modelmentioning
confidence: 99%
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“…If Q , , 1 (which is the case in gasses under regular conditions), no nonlinear retroref lection is expected, and Eq. (2) can with good accuracy 7,8 be reduced, for example, for the wave traveling in the positive direction in thez axis, to ≠f ͞≠z ≠͑ f 2 p͒͞≠t, where z z Qb cr ͞2 is a normalized distance, t t 2 z͞b cr , and b cr ͑1 1 Q͒ 21/2 ഠ 1 2 Q͞2 is the lowest (critical) speed of the EMB's.The full Maxwell 1 Bloch equations (1) and (2) have an exact solitary solution 7,8 propagating with some fixed velocity, b EMB n EMB ͞c. This solution is found by using a universal EMB-replication relationship 7 between the field f and polarization p: f QMp, where M ͑b 22 EMB 2 1͒ 21 constant, which is valid for both quantum and classical systems.…”
mentioning
confidence: 99%
“…The full Maxwell 1 Bloch equations (1) and (2) have an exact solitary solution 7,8 propagating with some fixed velocity, b EMB n EMB ͞c. This solution is found by using a universal EMB-replication relationship 7 between the field f and polarization p: f QMp, where M ͑b 22 EMB 2 1͒ 21 constant, which is valid for both quantum and classical systems.…”
mentioning
confidence: 99%