Laser with injected signal: perturbation of an invariant circle

We study the locked-unloked transition for a class of lasers with injected signal. The transition is produced by a parametric breaking of the invariant circle that represents the free running laser. A Hopf-saddle-node codimension two bifurcation coupled with a phase-drift re-injection mechanism orga...

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Autor principal: Solari, Hernán Gustavo
Publicado: 1994
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304018_v111_n1-2_p173_Solari
http://hdl.handle.net/20.500.12110/paper_00304018_v111_n1-2_p173_Solari
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spelling paper:paper_00304018_v111_n1-2_p173_Solari2023-06-08T14:55:50Z Laser with injected signal: perturbation of an invariant circle Solari, Hernán Gustavo Atomic physics Chaos theory Computer simulation High intensity light Laser pulses Laser theory Numerical methods Perturbation techniques Bifurcation Hetero homoclinic loops Hopf bifurcation Hopf saddle node codimension Lasers We study the locked-unloked transition for a class of lasers with injected signal. The transition is produced by a parametric breaking of the invariant circle that represents the free running laser. A Hopf-saddle-node codimension two bifurcation coupled with a phase-drift re-injection mechanism organizes the flow. Fixed points (locked states), periodic orbits and tori, T2, of two inequivalent types as well as hetero-homoclinic loops are found by using methods of bifurcation theory and are illustrated with computer simulations. We discuss the dependence of the flow patterns with respect to the laser parameters and, in particular, we show that the detuning between atomic and cavity frequencies plays a fundamental role for the dynamics. © 1994. Fil:Solari, H.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1994 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304018_v111_n1-2_p173_Solari http://hdl.handle.net/20.500.12110/paper_00304018_v111_n1-2_p173_Solari
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Atomic physics
Chaos theory
Computer simulation
High intensity light
Laser pulses
Laser theory
Numerical methods
Perturbation techniques
Bifurcation
Hetero homoclinic loops
Hopf bifurcation
Hopf saddle node codimension
Lasers
spellingShingle Atomic physics
Chaos theory
Computer simulation
High intensity light
Laser pulses
Laser theory
Numerical methods
Perturbation techniques
Bifurcation
Hetero homoclinic loops
Hopf bifurcation
Hopf saddle node codimension
Lasers
Solari, Hernán Gustavo
Laser with injected signal: perturbation of an invariant circle
topic_facet Atomic physics
Chaos theory
Computer simulation
High intensity light
Laser pulses
Laser theory
Numerical methods
Perturbation techniques
Bifurcation
Hetero homoclinic loops
Hopf bifurcation
Hopf saddle node codimension
Lasers
description We study the locked-unloked transition for a class of lasers with injected signal. The transition is produced by a parametric breaking of the invariant circle that represents the free running laser. A Hopf-saddle-node codimension two bifurcation coupled with a phase-drift re-injection mechanism organizes the flow. Fixed points (locked states), periodic orbits and tori, T2, of two inequivalent types as well as hetero-homoclinic loops are found by using methods of bifurcation theory and are illustrated with computer simulations. We discuss the dependence of the flow patterns with respect to the laser parameters and, in particular, we show that the detuning between atomic and cavity frequencies plays a fundamental role for the dynamics. © 1994.
author Solari, Hernán Gustavo
author_facet Solari, Hernán Gustavo
author_sort Solari, Hernán Gustavo
title Laser with injected signal: perturbation of an invariant circle
title_short Laser with injected signal: perturbation of an invariant circle
title_full Laser with injected signal: perturbation of an invariant circle
title_fullStr Laser with injected signal: perturbation of an invariant circle
title_full_unstemmed Laser with injected signal: perturbation of an invariant circle
title_sort laser with injected signal: perturbation of an invariant circle
publishDate 1994
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304018_v111_n1-2_p173_Solari
http://hdl.handle.net/20.500.12110/paper_00304018_v111_n1-2_p173_Solari
work_keys_str_mv AT solarihernangustavo laserwithinjectedsignalperturbationofaninvariantcircle
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