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Results obtained for a one-dimensional model of a single-mode laser and a model with parameters averaged over the resonator volume (point model) were compared. The results for both models agreed only for a high-Q resonator with a uniform distribution of pump energy throughout the resonator volume. The discrepancy in the results was rather significant for a low-Q or asymmetric resonator and/or a non-uniform pumping distribution. At the same time, the point model could be used without significant restrictions to describe purely polarization phenomena.