Normal-form theory for a laser model with periodic signal and noise injection

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A model for a laser with modulated signal and noise in the semiclassical approach allows the characterization of a Hopf bifurcation point and correspondingly of its spectrum. By means of the normal-form theory we have been able to give explicit normal-form equations that describe the system's d...

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Autores principales: Torre, M.S., Ranea-Sandoval, H.F., Buceta, R.C.
Formato: JOUR
Lenguaje:English
Materias:
Amplification
Characterization
Differential equations
Eigenvalues and eigenfunctions
Electric fields
Frequency modulation
Mathematical models
Modulation
Numerical analysis
Perturbation techniques
Statistical methods
Bifurcation point
Hopf bifurcation
Normal form theory
Signal modulation
Laser theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10502947_v50_n4_p3427_Torre
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10502947_v50_n4_p3427_Torre
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spelling todo:paper_10502947_v50_n4_p3427_Torre2023-10-03T15:58:59Z Normal-form theory for a laser model with periodic signal and noise injection Torre, M.S. Ranea-Sandoval, H.F. Buceta, R.C. Amplification Characterization Differential equations Eigenvalues and eigenfunctions Electric fields Frequency modulation Mathematical models Modulation Numerical analysis Perturbation techniques Statistical methods Bifurcation point Hopf bifurcation Normal form theory Signal modulation Laser theory A model for a laser with modulated signal and noise in the semiclassical approach allows the characterization of a Hopf bifurcation point and correspondingly of its spectrum. By means of the normal-form theory we have been able to give explicit normal-form equations that describe the system's dynamic in the vicinity of the bifurcation point. At first order we determine the system's behavior for the case when the signal modulation is coincident with the Hopf frequency and when it does not. In both cases, a characterization of the unfolding parameter is possible. We also consider an injected laser the Hopf frequency of which is an integer multiple of order n of the frequency modulated signal. In this case a perturbative theory of order n is necessary. We present also an example of noise for which this system does not present cooperative amplification. Numerical analysis is consistent with this prediction. © 1994 The American Physical Society. JOUR English info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v50_n4_p3427_Torre
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language English
orig_language_str_mv English
topic Amplification
Characterization
Differential equations
Eigenvalues and eigenfunctions
Electric fields
Frequency modulation
Mathematical models
Modulation
Numerical analysis
Perturbation techniques
Statistical methods
Bifurcation point
Hopf bifurcation
Normal form theory
Signal modulation
Laser theory
spellingShingle Amplification
Characterization
Differential equations
Eigenvalues and eigenfunctions
Electric fields
Frequency modulation
Mathematical models
Modulation
Numerical analysis
Perturbation techniques
Statistical methods
Bifurcation point
Hopf bifurcation
Normal form theory
Signal modulation
Laser theory
Torre, M.S.
Ranea-Sandoval, H.F.
Buceta, R.C.
Normal-form theory for a laser model with periodic signal and noise injection
topic_facet Amplification
Characterization
Differential equations
Eigenvalues and eigenfunctions
Electric fields
Frequency modulation
Mathematical models
Modulation
Numerical analysis
Perturbation techniques
Statistical methods
Bifurcation point
Hopf bifurcation
Normal form theory
Signal modulation
Laser theory
description A model for a laser with modulated signal and noise in the semiclassical approach allows the characterization of a Hopf bifurcation point and correspondingly of its spectrum. By means of the normal-form theory we have been able to give explicit normal-form equations that describe the system's dynamic in the vicinity of the bifurcation point. At first order we determine the system's behavior for the case when the signal modulation is coincident with the Hopf frequency and when it does not. In both cases, a characterization of the unfolding parameter is possible. We also consider an injected laser the Hopf frequency of which is an integer multiple of order n of the frequency modulated signal. In this case a perturbative theory of order n is necessary. We present also an example of noise for which this system does not present cooperative amplification. Numerical analysis is consistent with this prediction. © 1994 The American Physical Society.
format JOUR
author Torre, M.S.
Ranea-Sandoval, H.F.
Buceta, R.C.
author_facet Torre, M.S.
Ranea-Sandoval, H.F.
Buceta, R.C.
author_sort Torre, M.S.
title Normal-form theory for a laser model with periodic signal and noise injection
title_short Normal-form theory for a laser model with periodic signal and noise injection
title_full Normal-form theory for a laser model with periodic signal and noise injection
title_fullStr Normal-form theory for a laser model with periodic signal and noise injection
title_full_unstemmed Normal-form theory for a laser model with periodic signal and noise injection
title_sort normal-form theory for a laser model with periodic signal and noise injection
url http://hdl.handle.net/20.500.12110/paper_10502947_v50_n4_p3427_Torre
work_keys_str_mv AT torrems normalformtheoryforalasermodelwithperiodicsignalandnoiseinjection
AT raneasandovalhf normalformtheoryforalasermodelwithperiodicsignalandnoiseinjection
AT bucetarc normalformtheoryforalasermodelwithperiodicsignalandnoiseinjection
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