A common problem that arises when viewing an object through an intervening transparent medium is glare. Glare may be defined as the substantially specular reflection of ambient light on the viewer side of the transparent medium from one or more surfaces of the transparent medium. Thus, glare light travels an optical path that extends from the source of the ambient light to the surface of the transparent medium and then to the viewer, with the angle of incidence being substantially the same as the angle of reflection. Object light, on the other hand, travels from the object through the transparent medium to the viewer. Glare makes it difficult to view an object through the intervening transparent medium when the optical paths of the glare light and the object light substantially overlap in the region between the transparent medium and the viewer. Consequently, anti-glare surfaces are often applied to the viewer-side surface of the transparent medium to avoid or reduce the amount of glare. Such anti-glare surfaces are typically formed by providing some degree of roughness that spreads (i.e., scatters or diffuses) the light reflected by the surface over a certain angle. Typical anti-glare surfaces used in display applications comprise a coated or structured polymeric film (often a polarizing film) that is directly laminated to the surface of the front glass sheet forming the display (e.g., a liquid-crystal display (LCD)). The ideal parameters and processes used for anti-glare polymeric coatings are not necessarily the same as the ideal parameters used for a protective anti-glare cover glass. One reason for this is the anti-glare surface on a protective cover glass typically must be placed at a larger optical distance from the image-forming plane of the display device than would an antiglare polymeric coating. A major shortcoming of anti-glare and anti-sparkle surfaces is when applied to an intervening transparent medium disposed between the user and the object; they distort the optical path of the transmitted light. For example, conventional anti-glare and anti-sparkle surfaces relying on surface roughness tend to diffuse the object light, which makes the object look diffuse and thus less clear. The farther the object is located from the transparent medium, the more distorted the object appears when viewed through the transparent medium. Thus, there is a need for anti-glare and anti-sparkle surfaces having reduced optical distortion for object light when applied to a transparent medium. This invention provides an anti-glare light-transmitting structure that reduces an amount of glare from reflected ambient light and that has reduced optical distortion for light transmitted through the transparent material. The anti-glare property is achieved by the proper selection of materials having specific refractive indices to that the transmitted light is slightly distorted.