A double-mirror two-dimensional Bragg resonator design based on structures of planar geometry, which is typical of both band-to-band and quantum-cascade heterolasers, is suggested. The distinguishing feature of this design is the coupling between longitudinal and transverse energy flows in two-dimensional Bragg mirrors. The eigenmode spectrum of the structure is described. It is shown that the proposed design can be used for synchronizing radiation emitted in lasers and laser arrays.