Modulation Properties of the Single-Mode Laser with a Low-Q Cavity

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<jats:p> Modulation characteristics of the single-mode laser with a very low-<jats:italic>Q</jats:italic> cavity are theoretically investigated. The response functions of the polarization and the population difference to the external pump modulation are obtained to clarify the characteristic frequencies and the modulation bandwidth of this system in the small signal analysis. In the large signal analysis, we employ a <jats:italic>forced Toda oscillator</jats:italic> model, which is exactly equivalent to the mean-field model of this laser system without the rate-equation approximation. The characteristic periodic solutions of the Toda oscillator system observed in the period-doubling sequence, harmonic and subharmonic oscillations, are studied with the aid of the principle of harmonic balance to understand their nonlinear characters and stabilities. The harmonic oscillation, equivalent to the ordered spiking pulse train of the emission, shows the <jats:italic>hysteresis phenomena</jats:italic> and the <jats:italic>nonlinear resonance</jats:italic>. We also present a possible mechanism of the existence of a <jats:italic>quasiperiodic mode</jats:italic> in the unstable oscillating states observed in the numerical calculation. The stability criteria for the periodic states and the characteristic frequencies of the quasiperiodic modes are analytically obtained. </jats:p>

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