Geodesic
Numerical Modelling of a Photon Echo in Two-Level Systems
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 1, pp. 197-203

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Simulation of photon echo-signal generation in impurity samples (ruby type) was carried out. The mathematical model of interaction of electromagnetic radiation with a system of two-level atoms based on Maxwell–Bloch equations has been constructed. For numerical solution of the received system the method of forecast and correction on the basis of modified Euler's method was used. The program realizing the computing experiment has been developed and calculation of the two-pulse photon echo in two-level system (ruby) has been carried out.
Mots-clés : photon echo
Keywords: Maxwell–Bloch equations, numerical modelling, self-induced transparency, ruby. 
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     author = {A. D. Tiranov and K. R. Karimullin and V. V. Samartsev},
     title = {Numerical {Modelling} of {a~Photon} {Echo} in {Two-Level} {Systems}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_1_a25/}
}
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A. D. Tiranov; K. R. Karimullin; V. V. Samartsev. Numerical Modelling of a Photon Echo in Two-Level Systems. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 1, pp. 197-203. http://geodesic.mathdoc.fr/item/UZKU_2009_151_1_a25/