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Discrete Maps and the Problem of Round Trip Time Scale Nonlinear Dynamics in Solid-State Lasers

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Nonlinear Maps and their Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 112))

Abstract

We show numerically and analytically that the control based on the combination of optoelectronic negative and positive feedback loops allows one to obtain new time scale nonlinear dynamics regimes in solid-state lasers. The combination of feedbacks enables the realization of nonlinear dynamics of the logistic map. In lasers with external harmonic modulation of losses the combination of positive and negative feedback loops makes it possible to obtain period doubling bifurcation at the time scale in the range of few up to hundreds laser-cavity round trip times.

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Acknowledgments

The authors thank A.V. Vinogradov, L.E. Semenova, L.S. Efremova, and E. Blokhina for fruitful discussions. This work was supported by the Program PSD RAS Fundamental photonics problems and new materials physics, and by the Young Scientists Support Program of the Educational-Scientific Center of P. N. Lebedev Physics Institute and the RAS Presidium Program “Support of Young Scientists.”

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Authors and Affiliations

  1. P. N. Lebedev Physics Institute, Leninskii prospect 53, 119991, Moscow, Russia

    M. V. Gorbunkov, Yu. Ya. Maslova, V. A. Petukhov, M. A. Semenov & Yu. V. Shabalin

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  1. M. V. Gorbunkov
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  2. Yu. Ya. Maslova
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  3. V. A. Petukhov
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  4. M. A. Semenov
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  5. Yu. V. Shabalin
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Corresponding author

Correspondence to M. V. Gorbunkov .

Editor information

Editors and Affiliations

  1. Facultad de Ciencias, Universidad de Zaragoza, Zaragoza, Spain

    Ricardo López-Ruiz

  2. Université de Toulouse, LAAS-CNRS, INSA, Toulouse, France

    Danièle Fournier-Prunaret

  3. Department of E.E. Eng., Tokushima University, Tokushima, Japan

    Yoshifumi Nishio

  4. Department of Mathematics, University of Évora, CIMA-UE, Évora, Portugal

    Clara Grácio

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Gorbunkov, M., Maslova, Y., Petukhov, V., Semenov, M., Shabalin, Y. (2015). Discrete Maps and the Problem of Round Trip Time Scale Nonlinear Dynamics in Solid-State Lasers. In: López-Ruiz, R., Fournier-Prunaret, D., Nishio, Y., Grácio, C. (eds) Nonlinear Maps and their Applications. Springer Proceedings in Mathematics & Statistics, vol 112. Springer, Cham. https://doi.org/10.1007/978-3-319-12328-8_8

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