19 May 2008 Oscillator-like resonance in the Maxwell-Bloch equations self-pulsing regime
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Proceedings Volume 6997, Semiconductor Lasers and Laser Dynamics III; 69971M (2008); doi: 10.1117/12.780834
Event: SPIE Photonics Europe, 2008, Strasbourg, France
Abstract
We show that, in their unstable regime of operation, the "Maxwell-Bloch" equations that describe light-matter interactions and dynamics inside a bad-cavity-configured laser carry the same resonance properties as any externally driven mechanic or electric oscillator. This finding demonstrates that the non-linearly coupled Laser equations belong to the same universal family of forced oscillatory systems. The primary difference is that while mechanical or electrical systems are put into resonance with an external sinusoidal force with constant amplitude, the resonance-curve of the laser equations is described exclusively in terms of linear pump scans, for fixed cavity and material decay rates. In both cases however, the damping factors play the same fundamental role. In addition, the basic phase factor between the external excitation mechanism and the mechanical or electric oscillator response is shown to play the same essential role in the dynamic response of the "Maxwell-Bloch" equations with respect to the external driving pump level. Dephasing mechanisms occur between successive-order components of an adapted strong-harmonic expansion that describes the regular self-pulsing solutions of light-matter interactions inside a bad-cavity configured laser cavity.
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B. Meziane, "Oscillator-like resonance in the Maxwell-Bloch equations self-pulsing regime", Proc. SPIE 6997, Semiconductor Lasers and Laser Dynamics III, 69971M (19 May 2008); doi: 10.1117/12.780834; http://dx.doi.org/10.1117/12.780834
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KEYWORDS
Oscillators

Mechanics

Light-matter interactions

Polarization

Laser resonators

Numerical analysis

Semiconductor lasers

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