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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2009, Volume 151, Book 1, Pages 197–203 (Mi uzku737)  
The XII International Youth Scientific School "The Coherent Optics and Optical Spectroscopy"

Numerical Modelling of a Photon Echo in Two-Level Systems

A. D. Tiranova, K. R. Karimullinab, V. V. Samartsevb

a Kazan State University
b Zavoisky Physical Technical Institute, Kazan Scientific Center of the Russian Academy of Sciences
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Abstract: 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.
Keywords: photon echo, Maxwell–Bloch equations, numerical modelling, self-induced transparency, ruby.
Received: 02.02.2009
Document Type: Article
UDC: 535.2
Language: Russian
Citation: A. D. Tiranov, K. R. Karimullin, V. V. Samartsev, “Numerical Modelling of a Photon Echo in Two-Level Systems”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 1, Kazan University, Kazan, 2009, 197–203
Citation in format AMSBIB
\Bibitem{TirKarSam09}
\by A.~D.~Tiranov, K.~R.~Karimullin, V.~V.~Samartsev
\paper Numerical Modelling of a~Photon Echo in Two-Level Systems
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2009
\vol 151
\issue 1
\pages 197--203
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku737}
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