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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Autores principales: Solari, H.G., Oppo, G.-L.
Formato: JOUR
Materias:
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00304018_v111_n1-2_p173_Solari
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_00304018_v111_n1-2_p173_Solari2023-10-03T14:39:58Z Laser with injected signal: perturbation of an invariant circle Solari, H.G. Oppo, G.-L. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, H.G.
Oppo, G.-L.
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.
format JOUR
author Solari, H.G.
Oppo, G.-L.
author_facet Solari, H.G.
Oppo, G.-L.
author_sort Solari, H.G.
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
url http://hdl.handle.net/20.500.12110/paper_00304018_v111_n1-2_p173_Solari
work_keys_str_mv AT solarihg laserwithinjectedsignalperturbationofaninvariantcircle
AT oppogl laserwithinjectedsignalperturbationofaninvariantcircle
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