Abstract
We study analytically the Tang, Statz, and deMars equations describing a solid-state Fabry-Perot laser to determine how many relaxation oscillations it displays. When the modes have equal gains, the number of relaxation oscillations varies between zero and the mode number, depending on the laser parameters. In particular, a large number of modes or a relatively large pumping rate leads to the elimination of all relaxation oscillations except one, thereby simplifying the noise spectrum. These results are generalized to include unequal modal gains such as might result from the Lorentzian gain profile.
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