An arrangement for the resonant frequency doubling of multimode laser radiation with resonators is provided, including mirrors and an optically nonlinear material. The arrangement ensures a dispersion-free tuning of the length of a passive resonator, and enables the frequency doubling of a multimode laser, which is resonant simultaneously for all modes of the laser radiation, and which is achieved by pairs of mutually oppositely disposed movable elements of an optically transparent material, such as prisms (P1, P2). The prisms are brought into the beam path of the resonator (R), formed from mirrors (M1 to M4) and optically nonlinear material (BBO). The prisms are movable elements (P1, P2) which are connected to adjusting elements such as piezoactuators, so that the optical length of the resonator (R) can be tuned and compensation for dispersion attained.