A series of simplifications and approximations is introduced into a recently described model for spontaneous pulsations in standing-wave laser oscillators. To the extent that these simplifications are valid they can lead to significant reductions in computation time and sometimes also to a better understanding of the relative importance of various physical effects. Of special interest is the number of spatial harmonics required to represent adequately the effects of longitudinal spatial hole burning. Other approximations investigated include neglect of spectral cross relaxation, neglect of multiple-energy-level equations, neglect of electric-field derivatives, and neglect of polarization derivatives. In addition, a detailed discussion is included that concerns the most efficient numerical implementation of the model.
%e compare the results of theoretical and experimental studies of a unidirectional, single-mode, inhomogeneously broadened ring laser. %e find reasonable qualitative agreement between the calculated and observed output pulsations under resonant and detuned operating conditions, and over a fairly wide range of the pump parameter. With the help of homodyne and heterodyne power spectra, we find that the periodic output field oscillations are usually asymmetric in the phase plane.Over restricted regions of the control parameter space, on the other hand, both symmetric and asymmetric pulsations are found, sometimes coexisting for the same parameter values. The power spectra and temporal oscillations often resemble results from the Lorenz model for a single-mode homogeneously broadened laser.
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