Abstract
In the present work, we have extended the noise features of a class-A laser from the single-mode state with one oscillating freedom to the three-mode state with three oscillating freedoms. The laser noise is modeled by the cavity Langevin force in the absence of other two atomic population inversion and dipole moment Langevin forces. The Maxwell-Bloch equations of motion are thus solved in the presence of three cavity Langevin forces associated with the simultaneous oscillations of cavity central mode and its left and right adjacent modes. Therefore, the phase and amplitude fluctuations of electric field components that are oscillating at the three consecutive longitudinal modes have analytically been calculated in frequency domain. The results of our calculations indicate that the cavity Langevin force of each of three oscillating modes makes a direct contribution in producing the noise fluxes of other two oscillating modes. We have also determined the exact share of each oscillating mode in the total output intensity noise spectra of a three-mode laser. It is finally demonstrated that the input noise flux of laser pumping is distributed between the output noise fluxes of spontaneous and stimulated emission radiations of three oscillating modes according to the flux conservation law.
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