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.
© 1991 Optical Society of America
Original Manuscript: June 27, 1989
Manuscript Accepted: April 2, 1990
Published: February 1, 1991
Lee W. Casperson and Manuela Fe H. Tarroja, "Spontaneous coherent pulsations in standing-wave laser oscillators: simplified models," J. Opt. Soc. Am. B 8, 250-261 (1991)