Deterministic Chaotic Dynamics of Superradiance
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 2, pp. 14-20 Cet article a éte moissonné depuis la source Math-Net.Ru

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The model of superradiance exhibiting the features of deterministic chaotic behavior was developed. The equations of the model were reduced to the Lorenz equations with parameters corresponding to stochastic regime.
Keywords: deterministic and stochastic dynamics, Superradiation, oscillatory mode, stochastization
Mots-clés : Lorenz equations.
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A. M. Basharov. Deterministic Chaotic Dynamics of Superradiance. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 2, pp. 14-20. http://geodesic.mathdoc.fr/item/UZKU_2008_150_2_a2/

[1] Dicke R. H., “Coherence in spontaneouse radiation processes”, Phys. Rev., 93 (1954), 99–111 | DOI

[2] Andreev A. V., Emel'yanov V. I., Il'inskii Y. A., Cooperative Effects in Optics, IOP Publ., Bristol–Philadelphia, 1993, 467 pp.

[3] Benedict M. G., Ermolaev A. M., Malyshev V. A., Sokolov I. V., Trifonov E. D., Super-radiance: Multiatomic Coherent Emission, IOP Publ., Bristol–Philadelphia, 1996, 326 pp.

[4] Avetisyan Yu. A., Trifonov E. D., “Polyarizatsionnaya i difraktsionnaya struktura sverkhfluorestsentsii”, Optika i spektr, 86:5 (1999), 842–850

[5] Likhtenberg A., Liberman M., Regulyarnaya i stokhasticheskaya dinamika, Mir, M., 1984, 528 pp.

[6] Shuster G., Determinirovannyi khaos: Vvedenie, Mir, M., 1984, 253 pp. | MR

[7] Basharov A. M., Fotonika. Samopulsatsii i khaos v opticheskikh sistemakh, MIFI, M., 1986, 83 pp.

[8] Collet P., Eckmann J.-P., Iterated maps on the interval as dynamical systems, Birkhauser, Boston, 1980, 248 pp. | MR | Zbl

[9] Sparrow C., The Lorenz equations: Bifurcations, Chaos, and Strange Attractors, Springer-Verlag, 1983, 269 pp. | MR

[10] Basharov A. M., Grigoryan G. G., Znamenskii N. V., Manykin E. A., Orlov Yu. V., Shashkov A. Yu., Yukina T. G., “Pichkovaya struktura kogerentnogo izlucheniya opticheski plotnykh sred”, ZhETF, 129:2 (2006), 239–253

[11] Basharov A. M., Znamenskii N. V., Shashkov A. Yu., “Model stokhastizatsii ostsillyatornogo rezhima sverkhizlucheniya”, Optika i spektr, 104:2 (2008), 279–286

[12] Zuikov V. A., Kalachev A. A., Samartsev V. V., Shegeda A. M., “Optical superradiance in LaF$^3$ : Pr$^{3+}$-crystal”, Laser Phys., 9:4 (1999), 951–954

[13] Zuikov V. A., Kalachev A. A., Samartsev V. V., Shegeda A. M., “Two-Color Optical Superradiance and Other Coherent Effects in the Resonant Propagation of a Laser Pulse in a LaF$_3$ : Pr$^3+$ Crystal”, Laser Phys., 10:1 (2000), 364–367

[14] Znamenskii N. V., Malyukin Yu. V., Spektry i dinamika opticheskikh perekhodov redkozemelnykh ionov v kristallakh, FIZMATLIT, M., 2008, 192 pp.

[15] Malyukin Yu. V., Masalov A. A., Zhmurin P. N., Znamenskii N. V., Petrenko E. A., Yukina T. G., “Two mechanisms of 1D2 fluorescence quenching of Pr$^{3+}$-doped Y$_2$SiO$_5$ crystal”, Phys. Stat. Sol.(b), 240:3 (2003), 655–662 | DOI

[16] Khaken G., Lazernaya svetodinamika, Mir, M., 1988, 350 pp.