## Abstract

As a result of gain saturation, a ring vertical-cavity surface-emitting laser (VCSEL) has two thresholds: the lasing and the solitonic threshold. The evolution of spatial solitons in the semiconductor laser medium is modeled using the 1D wave equation, and the paraxial wave equation is presented. In the equation, k_{0} is the wave number, n_{0} is the linear refractive index, R is the anti-guiding factor and α_{tot}, the loss. g_{0} is the unsaturated gain defined as g_{0}(N_{p}) = Γα·(N_{p}-N_{0}), where Γ is the confinement factor, α is the differential gain, N_{p} is the carrier density due to the pump and N_{0} is the carrier density for transparency. n_{2}, the effective nonlinear refractive index is given by n_{2} = R·g_{0}/2k_{0}I_{sat}, where I_{sat} is the saturation energy - I_{sat} = hν/(Γατ_{sp}).

Original language | English |
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Pages | 334-336 |

Number of pages | 3 |

State | Published - 1998 |

Externally published | Yes |

Event | Proceedings of the 1998 IEEE Nonlinear Optics Topical Meeting - Princeville, HI, USA Duration: 10 Aug 1998 → 14 Aug 1998 |

### Conference

Conference | Proceedings of the 1998 IEEE Nonlinear Optics Topical Meeting |
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City | Princeville, HI, USA |

Period | 10/08/98 → 14/08/98 |