### Abstract

The effect of a small second frequency component on a pump modulated neodymium fiber laser is investigated experimentally and theoretically. This term, whose frequency is exactly half the primary driver, incites an unfolding of the attractor. It breaks the period two pitchfork bifurcation and splits the period one orbit. The modification of the bifurcation diagram is studied analytically by employing a map derived from the class B laser rate equations. We determine specific conditions and scaling laws for this phenomenon. Our analytical predictions are in good agreement with recorded experimental data.

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

Pages (from-to) | 7223-7231 |

Number of pages | 9 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 56 |

Issue number | 6 |

Publication status | Published - 1997 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

### Cite this

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*56*(6), 7223-7231.

**Unfolding of the period-two bifurcation in a fiber laser pumped with two modulation tones.** / Newell, T. C.; Gavrielides, A.; Kovanis, V.; Sukow, D.; Erneux, T.; Glasgow, S. A.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 56, no. 6, pp. 7223-7231.

}

TY - JOUR

T1 - Unfolding of the period-two bifurcation in a fiber laser pumped with two modulation tones

AU - Newell, T. C.

AU - Gavrielides, A.

AU - Kovanis, V.

AU - Sukow, D.

AU - Erneux, T.

AU - Glasgow, S. A.

PY - 1997

Y1 - 1997

N2 - The effect of a small second frequency component on a pump modulated neodymium fiber laser is investigated experimentally and theoretically. This term, whose frequency is exactly half the primary driver, incites an unfolding of the attractor. It breaks the period two pitchfork bifurcation and splits the period one orbit. The modification of the bifurcation diagram is studied analytically by employing a map derived from the class B laser rate equations. We determine specific conditions and scaling laws for this phenomenon. Our analytical predictions are in good agreement with recorded experimental data.

AB - The effect of a small second frequency component on a pump modulated neodymium fiber laser is investigated experimentally and theoretically. This term, whose frequency is exactly half the primary driver, incites an unfolding of the attractor. It breaks the period two pitchfork bifurcation and splits the period one orbit. The modification of the bifurcation diagram is studied analytically by employing a map derived from the class B laser rate equations. We determine specific conditions and scaling laws for this phenomenon. Our analytical predictions are in good agreement with recorded experimental data.

UR - http://www.scopus.com/inward/record.url?scp=0031371727&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031371727&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031371727

VL - 56

SP - 7223

EP - 7231

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 6

ER -