Beam steering in lidar applications presents an important engineering problem, as researchers seek to achieve the highest possible field of view with low energy cost and rapid refresh rate. Non-mechanical beam-steering technologies that exist today are known to achieve a low energy cost and rapid refresh rate, but they have a narrow angular range. A method by which the diffraction angle from a beam-steering device may be increased to cover a 4π sr solid angle is presented. Multiple holograms are recorded in the same volume hologram in a process called multiplexing. This multiplexed hologram can diffract light over a solid angle of 2π sr. To increase the angular coverage up to 4π sr, a hemispheric lens is attached to the volume hologram. Secondary holographic optical elements coated on the lens surface further diffract the light, directing it to a theoretical maximum of 4π sr. An early prototype demonstrates five distinct diffraction angles, ranging from 20° to 150°, which covers a solid angle around 90% of the entire sphere while maintaining beam collimation.