Stability of limiting cycles in semiclassical model of single-mode solid-state laser

Author

Kolomiets, S.V.

Author_Institution

Sumy Nat. Agrarian Univ., Ukraine

fYear

2003

fDate

19-20 Sept. 2003

Firstpage

56

Lastpage

58

Abstract

This paper is devoted to the theoretical investigation of ways of initiation of nonlinear dynamic modes in lasers with parameters´ modulation and study of influence of solid-state laser parameters´ variation, which characterize its structure or are the Q-spoiler control parameters on the laser dynamics. The objectives of the work are to determine the conditions of initiation of Hopf´s bifurcation in dynamic system, to study stability of periodical oscillations, which arise as a result of the loss of stationary solution stability, when one of the model´s parameters passes through its own bifurcation value.

Keywords

bifurcation; laser modes; laser stability; limit cycles; numerical analysis; solid lasers; Hopf bifurcation; Q-spoiler control parameters; dynamic system; laser dynamics; limiting cycles stability; nonlinear dynamic modes initiation; parameters modulation; periodical oscillations stability; single-mode solid-state laser semiclassical model; solid-state laser parameters variation; Atomic beams; Atomic measurements; Bifurcation; Jacobian matrices; Laser modes; Laser stability; Laser theory; Solid lasers; Solid modeling; Stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Laser and Fiber-Optical Networks Modeling, 2003. Proceedings of LFNM 2003. 5th International Workshop on

Print_ISBN

0-7803-7709-5

Type

conf

DOI

10.1109/LFNM.2003.1246072

Filename

1246072