Light-wave switching with optical circuits consisting of directional couplers and amplifiers is discussed. Designing of the switch structure using coupled mode theory is proposed. Using some configuration examples, we find that the light-wave switching is feasible when several conditions involving angles are maintained by properly controlling the intensity of the propagating light wave. When waveguide-type Raman amplifiers are employed as the amplifiers, wavelength-selective switching can be realized. Switching characteristics in a proposed circuit are clarified with regard to their dependence on wavelength and phase.