Normal-form theory for a laser model with periodic signal and noise injection
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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1994
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v50_n4_p3427_Torre http://hdl.handle.net/20.500.12110/paper_10502947_v50_n4_p3427_Torre |
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paper:paper_10502947_v50_n4_p3427_Torre2023-06-08T16:01:39Z Normal-form theory for a laser model with periodic signal and noise injection 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. 1994 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v50_n4_p3427_Torre 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) |
| 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 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. |
| 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 |
| publishDate |
1994 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v50_n4_p3427_Torre http://hdl.handle.net/20.500.12110/paper_10502947_v50_n4_p3427_Torre |
| _version_ |
1768542278252494848 |