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Title | Nonlinear Effects in Semi-Classical Model of Solid-State Laser |
Other Titles |
Нелінійні ефекти в напівкласичних моделях твердотільних лазерів Нелинейные эффекты в полуклассических моделях твердотельных лазеров |
Authors |
Kolomiiets, Svitlana Volodymyrivna
Kovalenko, G.P. |
ORCID |
http://orcid.org/0000-0002-7832-8415 |
Keywords |
limiting cycle Hopf’s bifurcation periodical solution граничний цикл біфуркація Хопфа періодичний розв’язок предельный цикл бифуркация Хопфа периодическое решение |
Type | Article |
Date of Issue | 2004 |
URI | http://essuir.sumdu.edu.ua/handle/123456789/62650 |
Publisher | Taras Shevchenko National University of Kyiv |
License | |
Citation | Kovalenko, G.P. Nonlinear effects in semi-classical model of solid-state laser [Text] / G.P. Kovalenko, S.V. Kolomiets // Proceeding of the IV International Young Scientists Conference of Applied Physics (21-23 June, 2004). – Kyiv: KNU, 2004. – P. 30-31. |
Abstract |
This paper is devoted to the theoretical research of ways of initiation of unsteady condition in semi-classical model of single-mode of solid-state laser. The bifurcation analysis of semi-classical model of solid – state laser with inertialess filter and quadratically-nonlinear element is executed. The stability criterion of periodic oscillations, periodic solution in quadratic approximation and analytical expression of a limit cycle in a linear approximation are constructed. The numerical calculations of members of a limit cycle are adduced. |
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Kovalenko_periodical_solution.pdf | 711.96 kB | Adobe PDF | 14435055 |
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