Behaviour and onset of low-dimensional chaos with a periodically varying loss in single-mode homogeneously broadened laser
In this work, we numerically study the behaviour of the single-mode homogeneously broadened laser versus a large perturbation of the steady state. Periodic behaviour develops for suitable values of the ratio of the population decay rates ℘\wp , which has been analytically predicted by the analytical...
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-02-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2022-0226 |
| _version_ | 1811159215463464960 |
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| author | Ayadi Samia Debailleul Matthieu Haeberlé Olivier |
| author_facet | Ayadi Samia Debailleul Matthieu Haeberlé Olivier |
| author_sort | Ayadi Samia |
| collection | DOAJ |
| description | In this work, we numerically study the behaviour of the single-mode homogeneously broadened laser versus a large perturbation of the steady state. Periodic behaviour develops for suitable values of the ratio of the population decay rates ℘\wp , which has been analytically predicted by the analytical approach developed in the previous works, and for a pumping parameter 2C2C situated below and above the instability threshold 2C2th2{C}_{2{\rm{th}}}. We here show that the adiabatic elimination of the polarisation with sinusoidal time-dependent perturbation of the cavity rate leads the single-mode homogenously broadened laser to exhibit chaotic emission, if the frequency ω\omega is equal to the natural frequency ΔP{\Delta }_{P}. Increasing the pumping parameter 2C2C, the laser undergoes a period-doubling sequence. This cascade of period doubling drives the laser towards chaos. We also propose a reformulation of our analytical procedure, which describes the self-pulsing regime of the single-mode homogeneously broadened laser. We here report that asymmetric aspect that appears in the time evolution of the electric field is due to phase effects between the electric field components. |
| first_indexed | 2024-04-10T05:37:21Z |
| format | Article |
| id | doaj.art-033ddcf7f020434a853501621ea0619a |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-04-10T05:37:21Z |
| publishDate | 2023-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-033ddcf7f020434a853501621ea0619a2023-03-06T16:56:41ZengDe GruyterOpen Physics2391-54712023-02-0121114722810.1515/phys-2022-0226Behaviour and onset of low-dimensional chaos with a periodically varying loss in single-mode homogeneously broadened laserAyadi Samia0Debailleul Matthieu1Haeberlé Olivier2Faculté de physique, Laboratoire d’Electronique Quantique, USTHB, Bp N 32 El Alia Bab Ezzouar, 16111 Alger, AlgeriaIRIMAS UR UHA 7499, Université de Haute-Alsace, 61 rue Albert Camus, 68093 Mulhouse, Cedex, FranceIRIMAS UR UHA 7499, Université de Haute-Alsace, 61 rue Albert Camus, 68093 Mulhouse, Cedex, FranceIn this work, we numerically study the behaviour of the single-mode homogeneously broadened laser versus a large perturbation of the steady state. Periodic behaviour develops for suitable values of the ratio of the population decay rates ℘\wp , which has been analytically predicted by the analytical approach developed in the previous works, and for a pumping parameter 2C2C situated below and above the instability threshold 2C2th2{C}_{2{\rm{th}}}. We here show that the adiabatic elimination of the polarisation with sinusoidal time-dependent perturbation of the cavity rate leads the single-mode homogenously broadened laser to exhibit chaotic emission, if the frequency ω\omega is equal to the natural frequency ΔP{\Delta }_{P}. Increasing the pumping parameter 2C2C, the laser undergoes a period-doubling sequence. This cascade of period doubling drives the laser towards chaos. We also propose a reformulation of our analytical procedure, which describes the self-pulsing regime of the single-mode homogeneously broadened laser. We here report that asymmetric aspect that appears in the time evolution of the electric field is due to phase effects between the electric field components.https://doi.org/10.1515/phys-2022-0226laserchaoslorenz–haken model |
| spellingShingle | Ayadi Samia Debailleul Matthieu Haeberlé Olivier Behaviour and onset of low-dimensional chaos with a periodically varying loss in single-mode homogeneously broadened laser Open Physics laser chaos lorenz–haken model |
| title | Behaviour and onset of low-dimensional chaos with a periodically varying loss in single-mode homogeneously broadened laser |
| title_full | Behaviour and onset of low-dimensional chaos with a periodically varying loss in single-mode homogeneously broadened laser |
| title_fullStr | Behaviour and onset of low-dimensional chaos with a periodically varying loss in single-mode homogeneously broadened laser |
| title_full_unstemmed | Behaviour and onset of low-dimensional chaos with a periodically varying loss in single-mode homogeneously broadened laser |
| title_short | Behaviour and onset of low-dimensional chaos with a periodically varying loss in single-mode homogeneously broadened laser |
| title_sort | behaviour and onset of low dimensional chaos with a periodically varying loss in single mode homogeneously broadened laser |
| topic | laser chaos lorenz–haken model |
| url | https://doi.org/10.1515/phys-2022-0226 |
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