The results of calculations for characteristics of various order transverse modes in resonators with multi-ring end-reflectors show that The selectivity of transverse modes

and the widths of the foundamental transverse modes in proper structures of the new kind of resonators can all be greater than those in the corresponding common laser resonators. The quasi-geometric optical theory ignoring the aperture diffraction effects can not be suited for these new resonators. It is shown that the optimal out-put powers of lasers of new kind of resonators operating with single transverse modes are about equal to or greater than the double of that can be obtained from corresponding common laser resonators.