Local Dynamics of a Laser with Rapidly Oscillating Parameters

Local Dynamics of a Laser with Rapidly Oscillating Parameters

Show other versions (1)

The dynamics of class B lasers with the incoherent optical feedback formed by quickly vibrating external mirrors is viewed. The problem of the stability of equilibrium in a model system with rapidly oscillating coefficients is studied. The averaged system with the distributed delay is received. It i...

Full description

Bibliographic Details
Main Authors: E. V. Grigorieva, S. A. Kaschenko
Format: Article
Language:English
Published: Yaroslavl State University 2013-10-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
laser dynamics
feedback
bifurcation analysis
Online Access:https://www.mais-journal.ru/jour/article/view/173
id doaj-0e58d7f538a14a35bb33f7a20c6edc90
record_format Article
spelling doaj-0e58d7f538a14a35bb33f7a20c6edc902021-07-29T08:15:18ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172013-10-01205456110.18255/1818-1015-2013-5-45-61167Local Dynamics of a Laser with Rapidly Oscillating ParametersE. V. Grigorieva0S. A. Kaschenko1Belarus State Economical UniversityP.G. Demidov Yaroslavl State UniversityThe dynamics of class B lasers with the incoherent optical feedback formed by quickly vibrating external mirrors is viewed. The problem of the stability of equilibrium in a model system with rapidly oscillating coefficients is studied. The averaged system with the distributed delay is received. It is determined that in the presence of fast delay oscillation the limit of instability of a balance state moves towards significantly greater values of the feedback coefficient. The dependence of the shift with increasing the amplitude modulation has a band structure, so the rapid oscillations of delay can stabilize or destabilize the equilibrium. Normal forms which show changes of the sign of Lyapunov quantityalong border are constructed. They describe characteristics of periodic and quasiperiodic modes close to the balance state.https://www.mais-journal.ru/jour/article/view/173laser dynamicsfeedbackbifurcation analysis
collection DOAJ
language English
format Article
sources DOAJ
author E. V. Grigorieva
S. A. Kaschenko
spellingShingle E. V. Grigorieva
S. A. Kaschenko
Local Dynamics of a Laser with Rapidly Oscillating Parameters
Modelirovanie i Analiz Informacionnyh Sistem
laser dynamics
feedback
bifurcation analysis
author_facet E. V. Grigorieva
S. A. Kaschenko
author_sort E. V. Grigorieva
title Local Dynamics of a Laser with Rapidly Oscillating Parameters
title_short Local Dynamics of a Laser with Rapidly Oscillating Parameters
title_full Local Dynamics of a Laser with Rapidly Oscillating Parameters
title_fullStr Local Dynamics of a Laser with Rapidly Oscillating Parameters
title_full_unstemmed Local Dynamics of a Laser with Rapidly Oscillating Parameters
title_sort local dynamics of a laser with rapidly oscillating parameters
publisher Yaroslavl State University
series Modelirovanie i Analiz Informacionnyh Sistem
issn 1818-1015
2313-5417
publishDate 2013-10-01
description The dynamics of class B lasers with the incoherent optical feedback formed by quickly vibrating external mirrors is viewed. The problem of the stability of equilibrium in a model system with rapidly oscillating coefficients is studied. The averaged system with the distributed delay is received. It is determined that in the presence of fast delay oscillation the limit of instability of a balance state moves towards significantly greater values of the feedback coefficient. The dependence of the shift with increasing the amplitude modulation has a band structure, so the rapid oscillations of delay can stabilize or destabilize the equilibrium. Normal forms which show changes of the sign of Lyapunov quantityalong border are constructed. They describe characteristics of periodic and quasiperiodic modes close to the balance state.
topic laser dynamics
feedback
bifurcation analysis
url https://www.mais-journal.ru/jour/article/view/173
work_keys_str_mv AT evgrigorieva localdynamicsofalaserwithrapidlyoscillatingparameters
AT sakaschenko localdynamicsofalaserwithrapidlyoscillatingparameters
_version_ 1721256538668007424

Similar Items