A dual-mode switchable liquid-crystal window can control both radiant energy flow and privacy. The modes are selected by using different voltage frequencies. A dichroic dye is doped to enable modulation of transmission of the window. In the absence of an applied voltage, the window is transparent without haze. When a high-frequency (e.g., 1 kHz) voltage is applied, the liquid crystal and doped dye molecules inside the window reorient uniformly under dielectric interactions. The material becomes optically absorbing. The transmittance decreases, but the haze does not change. In this mode, the window can control radiant energy flow through the window. When a low-frequency (50 Hz) voltage is applied, the liquid crystal and doped dye molecules are switched into a micron-sized polydomain structure under flexoelectric interactions. The material becomes optically scattering and absorbing. The scenery behind the window is blocked. In this mode, privacy can be controlled. This dual-mode switchable window is suitable for architectural and automobile windows.