NDLI: Analysis of dynamics of classical model single-mode solid-state laser

Content Provider	IEEE Xplore Digital Library
Author	Shuda, I.A.
Copyright Year	2003
Description	Author affiliation: Sumy State Univ., Ukraine (Shuda, I.A.)
Abstract	We considered a model that is described by the system of differential equations of specific type. Since general methods to integrate nonlinear systems of this type do not exist, we use local method of laser dynamics analysis, presupposing initiation of Hopf's bifurcation, when one of the model parameters becomes the bifurcation value. Comparison of three models of Q-spoiler depending on the photon field density is made. The conclusion from the analysis of these model, is formulated in the following form: transition from one bifurcation parameter to another one in one and the same model is accompanied by some important consequences, in particular the following: contraction or expansion of the interval of stability, a quantity of stationary solutions, change of amplitude and phase of oscillation. In particular cases, this transition may reveal a new problem. This problem may be formulated in the following words: what kind of dependence should exist between the trace of Jacoby's matrix and the equation to set the stationary solutions of the specified system, to make the following equation true: the derivative of real part of secular value of Jacoby's matrix by bifurcation parameter is equal to the derivative by x/sub c/ of function, which roots are the stationary solutions.
Sponsorship	IEEE LEOS Ukraine Chapter Opt. Soc. American, OSA Union Radio-Sci. Int., URSI Sci. & Technol. Center in Ukraine, STCU IEEE AP/MTT/ED/AES/GRS/NPS/EMB East Ukraine Joint Chapter IEEE Ukraine Sect. Ukrainian Chapter of SPIE
Starting Page	59
Ending Page	61
File Size	187891
Page Count	3
File Format	PDF
ISBN	0780377095
DOI	10.1109/LFNM.2003.1246073
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-09-19
Publisher Place	Ukraine
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Solid modeling Solid lasers Bifurcation Jacobian matrices Nonlinear dynamical systems Differential equations Nonlinear systems Laser modes Laser transitions Stability analysis
Content Type	Text
Resource Type	Article

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