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Poincaré maps for studying relaxation oscillations in periodically pumped solid-state lasers

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Abstract

We present an asymptotic analysis of relaxation oscillations in periodically pumped single- and multimode class-B lasers. Discrete maps which allow one to describe the hierarchy of coexisting periodic attractors are obtained and their bifurcations leading to period-doubling regimes and quasi-periodic and chaotic oscillations are studied analytically. For systems of coupled longitudinal modes, the maps determine conditions for antiphase dynamics.

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Authors and Affiliations

  1. Belarusian State University, Minsk, Belarus

    E. V. Grigorieva

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  1. E. V. Grigorieva
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 47, Nos. 10–11, pp. 832–840, October–November, 2004.

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Grigorieva, E.V. Poincaré maps for studying relaxation oscillations in periodically pumped solid-state lasers. Radiophys Quantum Electron 47, 747–754 (2004). https://doi.org/10.1007/s11141-005-0013-x

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  • DOI: https://doi.org/10.1007/s11141-005-0013-x

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