Augmented Reality (AR) is a method of combining computer-generated virtual content with the real world. This augmentation is often achieved with the aid of a head-mounted device that the user looks through. Computer-Generated Holography (CGH) is a way of shaping light waves to form / replay three-dimensional content. Unlike currently widespread stereoscopic 3D displays, holography is capable of reconstructing objects showcasing real depth information, leading to a superior viewing experience. This chapter explores various aspects of CGH within the context of optical see-through near-eye displays suited for AR applications. Although Holographic AR displays only appeared in the 2010s, they have benefited from decades of research into Computer-Generated Holography for projection and display applications. The particular focus of this chapter is the hardware of Holographic AR devices. Listed and examined are all the physical and optical components of an AR system, namely, the light source and its coherence requirement, light source conditioning, spatial light modulator (SLM), SLM illumination, relay / magnification optics, and combiner optics. In each section, trade-offs which are necessary to navigate while building holographic AR systems are identified and analyzed. Suggestions on how to optimize the overall projector layout are offered throughout the chapter.