1 July 1990 Relaxation oscillations in real laser cavity
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Proceedings Volume 1319, Optics in Complex Systems; (1990) https://doi.org/10.1117/12.22129
Event: 15th International Optics in Complex Systems, 1990, Garmisch, Germany
An approximate analysis of the relaxation oscillations in Fabry Perot laser cavities is presented. A linear smallsignal perturbation solution of the coupled laser rate equations is generalized by including transverse1 as well longitudinal field dependence2. By the threshold field approximation3 we obtain an expression relating the frequency 0 and damping rate X of the relaxation oscillations to the laser parameters such as steadystate output power P0/Pq normaliezed to the saturation power P distributed losses a L'' poin losses at the mirrors a1 and a arbitrary relectivities o the mirrors r1 and r2 spontaneous liftime ''r of the active medium and geometry o the resonator. 2. THEORY The couppled laser rate equations for single mode can be written in the following form dN I(r) N N dQ I(r) N Q --- ---- (1) dt I ''r #r dt I -r 5 S Q where N denotes the inversion density I (r) describes the total intensity of the nmth laser mode in the cavity I is the saturation in tensity p is the exatation rate Q denotes the number of the photons in the nmth laser mode and ''r is the cavity lifetime. An approximate expressions for the spatial dependence of the electric fields for the forward and backward amplitudes of the nmth laser mode in our approach can be written as R AUR(t) f(x e''TZ S A(r) f(x
© (1990) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Pawel Szczepanski, Pawel Szczepanski, Michal Malinowski, Michal Malinowski, Radoslaw Wolski, Radoslaw Wolski, } "Relaxation oscillations in real laser cavity", Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); doi: 10.1117/12.22129; https://doi.org/10.1117/12.22129

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