We studied the properties of an annular waveguide laser resonator, performi
ng a new set of numerical simulations. The existence of fractional-Talbot e
ffects is shown and results are compared to previous free-space propagation
calculations and experimental results. Our study allows us to design annul
ar waveguide lasers efficiently extracting power into a well behaving field
distribution, convertible into a high quality beam by means of simple opti
cs.