### Abstract

The single-mode rate equations for a semiconductor laser subject to optical injection are investigated analytically. We determine the first branch of periodic solutions for low values of the injection field. For larger values of the injection field, we derive a third-order pendulum equation for the phase difference of the laser field of the form ψ‴+ψ′=Λ cos(ψ), where Λ groups all the key laser parameters. This equation captures several aspects of the numerical bifurcation diagram, namely, the fixed amplitude of the period-one solution and the period-doubling bifurcation. Finally, we compute the optical power spectrum utilizing the perturbation solutions of the phase equation before and after the period-doubling transition. We also obtain very good agreement with the numerically computed spectrum.

Original language | English |
---|---|

Pages (from-to) | 4372-4380 |

Number of pages | 9 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 53 |

Issue number | 6 |

Publication status | Published - Jun 1996 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*53*(6), 4372-4380.

**Mechanism for period-doubling bifurcation in a semiconductor laser subject to optical injection.** / Erneux, Thomas; Kovanis, Vassilios; Gavrielides, Athanasios; Alsing, Paul M.

Research output: Contribution to journal › Article

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 53, no. 6, pp. 4372-4380.

}

TY - JOUR

T1 - Mechanism for period-doubling bifurcation in a semiconductor laser subject to optical injection

AU - Erneux, Thomas

AU - Kovanis, Vassilios

AU - Gavrielides, Athanasios

AU - Alsing, Paul M.

PY - 1996/6

Y1 - 1996/6

N2 - The single-mode rate equations for a semiconductor laser subject to optical injection are investigated analytically. We determine the first branch of periodic solutions for low values of the injection field. For larger values of the injection field, we derive a third-order pendulum equation for the phase difference of the laser field of the form ψ‴+ψ′=Λ cos(ψ), where Λ groups all the key laser parameters. This equation captures several aspects of the numerical bifurcation diagram, namely, the fixed amplitude of the period-one solution and the period-doubling bifurcation. Finally, we compute the optical power spectrum utilizing the perturbation solutions of the phase equation before and after the period-doubling transition. We also obtain very good agreement with the numerically computed spectrum.

AB - The single-mode rate equations for a semiconductor laser subject to optical injection are investigated analytically. We determine the first branch of periodic solutions for low values of the injection field. For larger values of the injection field, we derive a third-order pendulum equation for the phase difference of the laser field of the form ψ‴+ψ′=Λ cos(ψ), where Λ groups all the key laser parameters. This equation captures several aspects of the numerical bifurcation diagram, namely, the fixed amplitude of the period-one solution and the period-doubling bifurcation. Finally, we compute the optical power spectrum utilizing the perturbation solutions of the phase equation before and after the period-doubling transition. We also obtain very good agreement with the numerically computed spectrum.

UR - http://www.scopus.com/inward/record.url?scp=0000678775&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000678775&partnerID=8YFLogxK

M3 - Article

VL - 53

SP - 4372

EP - 4380

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 6

ER -